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A1. Solidification A1. Computer simulation A1. Crystal morphology A1. Dendrites A1. Growth models A1. Morphological stability A2. Growth from vapour active contours active set methods active-set methods adsorption isotherm ALE ESFEM Allen-Cahn equation Allen-Cahn model Allen-Cahn system Allen-Cahn systems Allen-Cahn-Gleichung Allen{Cahn equation Allen–Cahn anisotropic and inhomogeneous interfacial energy anisotropic surface diffusion anisotropy Asymptotische Entwicklung benchmark problems Cahn- Hilliard equation Cahn- Hilliard model Cahn-Hilliard Cahn-Hilliard equation Cahn-Hilliard model Cahn–Hilliard Chan- Vese clamped boundary conditions Convection convergence coupled system of parabolic equations crystal growth crystalline surface curve evolution curve networks degenerate Cahn-Hilliard equation degenerate fourth-order equation dendritic growth determinant functor eigenvalues elastic flow elasticity Elastizität energy equidistributed polygonal meshes equidistribution exact category Existence theory facet breaking fictitious domain finite elemen ts finite element approximation finite elements first order conditions fluid interface fourth order geometric evolution problem fourth order parabolic problem free boundary free boundary problem free boundary problem free surface freies Randwert-Problem front tracking Gamma-convergence geometric evolution equations Gibbs-Thomson law Gibbs–Thomson law Gibbs–Thomson law gradient flow gradient flow gradient flows gradient projection method Grothendieck derivator H−1-gradient flow Image segmentation implicit time discretization incompressible two-phase flow initial value problems insoluble surfactants integrodifferential equations interface tracking isoperimetric problems junctions K-theory kinetic undercooling Krylov subspace solver linear elas- ticity linear elasticity linearized stability linearized stability analysis linearized stability of stationary solutions local existence result lubrication approximation matched asymptotic expansions mathematical programs with complementarity constraints mathematical programs with complementarity constraints Mathematische Physik Mean curvature flow Mehrphasensystem Modeling moving boundary problem MPCCs MPECs Mullins–Sekerka Mullins–Sekerka problem Mumford-Shah Navier boundary conditions Navier-Stokes flow Navier–Stokes network of curves networks of curves Newton method Nichtlineare partielle Differentialgleichung non-local constraints nonlinear degenerate parabolic system nonlinear evolution equations nonlinear parabolic system of differential equations nonlinear splines Nonlocal phase separation models numerical simulations opti- mality conditions optimal design optimality conditions Optimization parabolic bi-obstacle problems parabolic Hölder theory parabolic obstacle problems parabolic partial differential equations Parabolisches Differentialgleichungssystem parametric finite elements parametric finite elements parametric method parametric sharp interface methods partial differential equations on manifolds PDE-constrained optimization PDE-constraint optimization phase field methods phase field model phase field models phase separation phase �eld approach phase-field method Phase-field approximation Phase-field method Phasenfeldmodell Phasenseparation Phasenumwandlung Poincar´e inequality on a network preconditioning primal-dual active set method region based restoration Saddle point systems saddle point structure Schur complement second-order equation for the surfactant concentration semi-smooth Newton method semi-smooth Newton methods shape sensitivity analysis Shape and topology optimization shape calculus shape optimization singular perturbations snow crystal growth soap bubbles solidification spectral analysis Spektralanalyse Spektralanalysis stability of stationary solutions stationary solution Stationäre Lösung Stefan problem Stokes equations Stokes flow structural optimization Structural topology optimization Sturm-Liouville-Operator surface clusters surface diffusion surface tension surfactant tangential movement Thermodynamics Thermodynamik topology changes topology optimization triangulated category Tripelpunkt triple junction triple junction lines triple junctions triple lines triple-junction Trust-Region-Newton method two-phase flow Van der Waals–Cahn–Hilliard energy variational inequalities variational inequality variational methods Vector-valued Allen-Cahn system vector-valued obstacle problems viscous Cahn{Hilliard equation viscous phase separation models Waldhausen category Willmore flow XFEM
Number of items at this level: 308.

A1. Solidification

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Numerical computations of facetted pattern formation in snow crystal growth. Preprintreihe der Fakultät Mathematik 7/2012, Working Paper.

A1. Computer simulation

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Numerical computations of facetted pattern formation in snow crystal growth. Preprintreihe der Fakultät Mathematik 7/2012, Working Paper.

A1. Crystal morphology

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Numerical computations of facetted pattern formation in snow crystal growth. Preprintreihe der Fakultät Mathematik 7/2012, Working Paper.

A1. Dendrites

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Numerical computations of facetted pattern formation in snow crystal growth. Preprintreihe der Fakultät Mathematik 7/2012, Working Paper.

A1. Growth models

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Numerical computations of facetted pattern formation in snow crystal growth. Preprintreihe der Fakultät Mathematik 7/2012, Working Paper.

A1. Morphological stability

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Numerical computations of facetted pattern formation in snow crystal growth. Preprintreihe der Fakultät Mathematik 7/2012, Working Paper.

A2. Growth from vapour

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Numerical computations of facetted pattern formation in snow crystal growth. Preprintreihe der Fakultät Mathematik 7/2012, Working Paper.

active contours

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

active set methods

Blank, Luise and Butz, Martin and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2010) Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques. Preprintreihe der Fakultät Mathematik 7/2010, Working Paper. (Unpublished)

active-set methods

Blank, Luise and Butz, Martin and Garcke, Harald (2010) Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. EASIM: Control, Optimisation and Calculus of Variations, E-first.

adsorption isotherm

Garcke, Harald and Lam, Kei Fong and Stinner, Björn (2013) Diffuse interface modelling of soluble surfactants in two-pahse flow. Preprintreihe der Fakultät Mathematik 03/2013, Working Paper.

ALE ESFEM

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) On the stable numerical approximation of two-phase flow with insoluble surfactant. Preprintreihe der Fakultät Mathematik 20/2013, Working Paper.

Allen-Cahn equation

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

Allen-Cahn model

Blank, Luise and Butz, Martin and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2010) Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques. Preprintreihe der Fakultät Mathematik 7/2010, Working Paper. (Unpublished)

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Srisupattarawanit, Tarin and Styles, Vanessa and Voigt, Axel (2010) Phase-field approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 6/2010, Working Paper. (Unpublished)

Blank, Luise and Sarbu, Lavinia and Stoll, Martin (2010) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Preprintreihe der Fakultät Mathematik 11/2010, Working Paper. (Unpublished)

Allen-Cahn system

Blank, Luise and Farshbaf-Shaker, Hassan and Hecht, Claudia and Michl, Josef and Rupprecht, Christoph (2013) Optimal control of Allen-Cahn systems. Preprintreihe der Fakultät Mathematik 21/2013, Working Paper.

Farshbaf-Shaker, Hassan (2011) A penalty approach to optimal control of Allen-Cahn variational inequalities: MPEC-view. Preprintreihe der Fakultät Mathematik 6/2011, Working Paper. (Unpublished)

Allen-Cahn systems

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2011) Non-local Allen-Cahn systems: Analysis and a primal dual active set method. Preprintreihe der Fakultät Mathematik 2/2011, Working Paper. (Unpublished)

Allen-Cahn-Gleichung

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

Allen{Cahn equation

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Stable phase field approximations of anisotropic solidification. Preprintreihe der Fakultät Mathematik 19/2012, Working Paper.

Allen–Cahn

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.

anisotropic and inhomogeneous interfacial energy

Garcke, Harald and Kraus, Christiane (2010) An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model. PAMM Proc. Appl. Math. Mech. 10, pp. 519-520.

anisotropic surface diffusion

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

anisotropy

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Stable phase field approximations of anisotropic solidification. Preprintreihe der Fakultät Mathematik 19/2012, Working Paper.

Garcke, Harald and Schaubeck, Stefan (2011) Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law. Preprintreihe der Fakultät Mathematik 16/2011, Working Paper. (Unpublished)

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Preprintreihe der Fakultät Mathematik 1/2011, Working Paper. (Unpublished)

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Numer. Methods Partial Differential Equations 27 (1), pp. 1-30.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.

Asymptotische Entwicklung

Stinner, Björn (2006) Derivation and analysis of a phase field model for alloy solidification. PhD, Universität Regensburg

benchmark problems

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

Cahn- Hilliard equation

Farshbaf-Shaker, Hassan (2011) Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility. Preprintreihe der Fakultät Mathematik 24/201, Working Paper.

Farshbaf-Shaker, Hassan (2011) On a nonlocal viscous phase separation model. Preprintreihe der Fakultät Mathematik 23/201, Working Paper.

Cahn- Hilliard model

Blank, Luise and Butz, Martin and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2010) Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques. Preprintreihe der Fakultät Mathematik 7/2010, Working Paper. (Unpublished)

Cahn-Hilliard

Butz, Martin (2012) Computational methods for Cahn-Hilliard variational inequalities. PhD, Universität Regensburg

Cahn-Hilliard equation

Blank, Luise and Butz, Martin and Garcke, Harald (2010) Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. EASIM: Control, Optimisation and Calculus of Variations, E-first.

Cahn-Hilliard model

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Srisupattarawanit, Tarin and Styles, Vanessa and Voigt, Axel (2010) Phase-field approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 6/2010, Working Paper. (Unpublished)

Cahn–Hilliard

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.

Chan- Vese

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

clamped boundary conditions

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Preprintreihe der Fakultät Mathematik 1/2011, Working Paper. (Unpublished)

Convection

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

convergence

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Mathematics of Computation (MCOM) 75 (253), pp. 7-41.

coupled system of parabolic equations

Garcke, Harald and Wieland, Sandra (2006) Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of a Coupled Degenerate System. SIAM Journal on Mathematical Analysis 37 (6), 2025-2048 .

crystal growth

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Stable phase field approximations of anisotropic solidification. Preprintreihe der Fakultät Mathematik 19/2012, Working Paper.

crystalline surface

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

curve evolution

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Numer. Methods Partial Differential Equations 27 (1), pp. 1-30.

curve networks

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Elastic flow with junctions: Variational approximation and applications to nonlinear splines. Preprintreihe der Fakultät Mathematik 30/2011, Working Paper.

degenerate Cahn-Hilliard equation

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Mathematics of Computation (MCOM) 75 (253), pp. 7-41.

degenerate fourth-order equation

Garcke, Harald and Wieland, Sandra (2006) Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of a Coupled Degenerate System. SIAM Journal on Mathematical Analysis 37 (6), 2025-2048 .

dendritic growth

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

determinant functor

Muro, Fernando and Tonks, Andrew and Witte, Malte (2010) On determinant functors and K-theory. Preprintreihe der Fakultät Mathematik 12/2010, Working Paper. (Unpublished)

eigenvalues

Garcke, Harald and Ito, Kazuo and Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), 1031-1056 .

elastic flow

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Elastic flow with junctions: Variational approximation and applications to nonlinear splines. Preprintreihe der Fakultät Mathematik 30/2011, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Preprintreihe der Fakultät Mathematik 1/2011, Working Paper. (Unpublished)

elasticity

Garcke, Harald and Kraus, Christiane (2010) An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model. PAMM Proc. Appl. Math. Mech. 10, pp. 519-520.

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Srisupattarawanit, Tarin and Styles, Vanessa and Voigt, Axel (2010) Phase-field approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 6/2010, Working Paper. (Unpublished)

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Mathematics of Computation (MCOM) 75 (253), pp. 7-41.

Elastizität

Kwak, David Jung Chul (2008) The sharp-interface limit of the Cahn-Hilliard system with elasticity. PhD, Universität Regensburg

energy

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

equidistributed polygonal meshes

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Numer. Methods Partial Differential Equations 27 (1), pp. 1-30.

equidistribution

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

exact category

Muro, Fernando and Tonks, Andrew and Witte, Malte (2010) On determinant functors and K-theory. Preprintreihe der Fakultät Mathematik 12/2010, Working Paper. (Unpublished)

Existence theory

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

facet breaking

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

fictitious domain

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

finite elemen ts

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) On the stable numerical approximation of two-phase flow with insoluble surfactant. Preprintreihe der Fakultät Mathematik 20/2013, Working Paper.

finite element approximation

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Stable phase field approximations of anisotropic solidification. Preprintreihe der Fakultät Mathematik 19/2012, Working Paper.

finite elements

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) A stable parametric finite element discretization of two-phase Navier–Stokes flow. Preprintreihe der Fakultät Mathematik 17/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) Eliminating spurious velocities with a stable approximation of incompressible two-phase flow. Preprintreihe der Fakultät Mathematik 12/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

first order conditions

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Styles, Vanessa (2013) Relating phase field and sharp interface approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 02/2013, Working Paper.

fluid interface

Garcke, Harald and Wieland, Sandra (2006) Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of a Coupled Degenerate System. SIAM Journal on Mathematical Analysis 37 (6), 2025-2048 .

fourth order geometric evolution problem

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), pp. 437-472.

fourth order parabolic problem

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) A Parametric Finite Element Method for Forth Order Geometric Evolution Equations. Journal of Computational Physics 222 (1), pp. 441-467.

free boundary

Garcke, Harald and Schaubeck, Stefan (2011) Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law. Preprintreihe der Fakultät Mathematik 16/2011, Working Paper. (Unpublished)

free boundary problem

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) A stable parametric finite element discretization of two-phase Navier–Stokes flow. Preprintreihe der Fakultät Mathematik 17/2013, Working Paper.

free boundary problem

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) Eliminating spurious velocities with a stable approximation of incompressible two-phase flow. Preprintreihe der Fakultät Mathematik 12/2013, Working Paper.

Depner, Daniel and Garcke, Harald and Kohsaka, Yoshihito (2012) Mean curvature flow with triple junctions in higher space dimensions. Preprintreihe der Fakultät Mathematik 13/2012, Working Paper.

Kwak, David Jung Chul (2008) The sharp-interface limit of the Cahn-Hilliard system with elasticity. PhD, Universität Regensburg

free surface

Garcke, Harald and Wieland, Sandra (2006) Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of a Coupled Degenerate System. SIAM Journal on Mathematical Analysis 37 (6), 2025-2048 .

freies Randwert-Problem

Kwak, David Jung Chul (2008) The sharp-interface limit of the Cahn-Hilliard system with elasticity. PhD, Universität Regensburg

front tracking

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) Eliminating spurious velocities with a stable approximation of incompressible two-phase flow. Preprintreihe der Fakultät Mathematik 12/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) On the stable numerical approximation of two-phase flow with insoluble surfactant. Preprintreihe der Fakultät Mathematik 20/2013, Working Paper.

Gamma-convergence

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

geometric evolution equations

Depner, Daniel (2010) Stability analysis of geometric evolution equations with triple lines
and boundary contact.
PhD, Universität Regensburg

Gibbs-Thomson law

Garcke, Harald and Schaubeck, Stefan (2011) Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law. Preprintreihe der Fakultät Mathematik 16/2011, Working Paper. (Unpublished)

Gibbs–Thomson law

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

Gibbs–Thomson law

Garcke, Harald and Kraus, Christiane (2010) An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model. PAMM Proc. Appl. Math. Mech. 10, pp. 519-520.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

gradient flow

Depner, Daniel (2011) Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact. Preprintreihe der Fakultät Mathematik 7/2011, Working Paper. (Unpublished)

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Srisupattarawanit, Tarin and Styles, Vanessa and Voigt, Axel (2010) Phase-field approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 6/2010, Working Paper. (Unpublished)

gradient flow

Depner, Daniel and Garcke, Harald (2011) Linearized stability analysis of surface diffusion for hypersurfaces with triple lines. Preprintreihe der Fakultät Mathematik 15/2011, Working Paper. (Unpublished)

Garcke, Harald and Ito, Kazuo and Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), 1031-1056 .

gradient flows

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Numer. Methods Partial Differential Equations 27 (1), pp. 1-30.

Blank, Luise and Butz, Martin and Garcke, Harald (2010) Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. EASIM: Control, Optimisation and Calculus of Variations, E-first.

gradient projection method

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Rupprecht, Christoph and Styles, Vanessa (2013) Multi-material phase field approach to structural topology optimization. Preprintreihe der Fakultät Mathematik 22/2013, Working Paper.

Grothendieck derivator

Muro, Fernando and Tonks, Andrew and Witte, Malte (2010) On determinant functors and K-theory. Preprintreihe der Fakultät Mathematik 12/2010, Working Paper. (Unpublished)

H−1-gradient flow

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), pp. 437-472.

Image segmentation

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

implicit time discretization

Garcke, Harald and Schaubeck, Stefan (2011) Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law. Preprintreihe der Fakultät Mathematik 16/2011, Working Paper. (Unpublished)

incompressible two-phase flow

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) Eliminating spurious velocities with a stable approximation of incompressible two-phase flow. Preprintreihe der Fakultät Mathematik 12/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) On the stable numerical approximation of two-phase flow with insoluble surfactant. Preprintreihe der Fakultät Mathematik 20/2013, Working Paper.

initial value problems

Farshbaf-Shaker, Hassan (2011) Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility. Preprintreihe der Fakultät Mathematik 24/201, Working Paper.

Farshbaf-Shaker, Hassan (2011) On a nonlocal viscous phase separation model. Preprintreihe der Fakultät Mathematik 23/201, Working Paper.

insoluble surfactants

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) On the stable numerical approximation of two-phase flow with insoluble surfactant. Preprintreihe der Fakultät Mathematik 20/2013, Working Paper.

integrodifferential equations

Farshbaf-Shaker, Hassan (2011) Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility. Preprintreihe der Fakultät Mathematik 24/201, Working Paper.

Farshbaf-Shaker, Hassan (2011) On a nonlocal viscous phase separation model. Preprintreihe der Fakultät Mathematik 23/201, Working Paper.

interface tracking

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) A stable parametric finite element discretization of two-phase Navier–Stokes flow. Preprintreihe der Fakultät Mathematik 17/2013, Working Paper.

isoperimetric problems

Garcke, Harald and Ito, Kazuo and Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), 1031-1056 .

junctions

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Elastic flow with junctions: Variational approximation and applications to nonlinear splines. Preprintreihe der Fakultät Mathematik 30/2011, Working Paper.

K-theory

Muro, Fernando and Tonks, Andrew and Witte, Malte (2010) On determinant functors and K-theory. Preprintreihe der Fakultät Mathematik 12/2010, Working Paper. (Unpublished)

kinetic undercooling

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

Krylov subspace solver

Blank, Luise and Sarbu, Lavinia and Stoll, Martin (2010) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Preprintreihe der Fakultät Mathematik 11/2010, Working Paper. (Unpublished)

linear elas- ticity

Blank, Luise and Farshbaf-Shaker, Hassan and Hecht, Claudia and Michl, Josef and Rupprecht, Christoph (2013) Optimal control of Allen-Cahn systems. Preprintreihe der Fakultät Mathematik 21/2013, Working Paper.

linear elasticity

Farshbaf-Shaker, Hassan and Hecht, Claudia (2013) Optimal control of elastic vector-valued Allen-Cahn variational inequalities. Preprintreihe der Fakultät Mathematik 16/2013, Working Paper.

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Styles, Vanessa (2013) Relating phase field and sharp interface approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 02/2013, Working Paper.

linearized stability

Depner, Daniel and Garcke, Harald (2011) Linearized stability analysis of surface diffusion for hypersurfaces with triple lines. Preprintreihe der Fakultät Mathematik 15/2011, Working Paper. (Unpublished)

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), pp. 437-472.

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2009) Stability analysis of phase boundary motion by surface diffusion with triple junction. Banach Center Publications 86, pp. 83-101.

linearized stability analysis

Depner, Daniel (2010) Stability analysis of geometric evolution equations with triple lines
and boundary contact.
PhD, Universität Regensburg

linearized stability of stationary solutions

Depner, Daniel (2011) Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact. Preprintreihe der Fakultät Mathematik 7/2011, Working Paper. (Unpublished)

local existence result

Depner, Daniel and Garcke, Harald and Kohsaka, Yoshihito (2012) Mean curvature flow with triple junctions in higher space dimensions. Preprintreihe der Fakultät Mathematik 13/2012, Working Paper.

lubrication approximation

Garcke, Harald and Wieland, Sandra (2006) Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of a Coupled Degenerate System. SIAM Journal on Mathematical Analysis 37 (6), 2025-2048 .

matched asymptotic expansions

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Styles, Vanessa (2013) Relating phase field and sharp interface approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 02/2013, Working Paper.

Stinner, Björn (2006) Derivation and analysis of a phase field model for alloy solidification. PhD, Universität Regensburg

mathematical programs with complementarity constraints

Farshbaf-Shaker, Hassan and Hecht, Claudia (2013) Optimal control of elastic vector-valued Allen-Cahn variational inequalities. Preprintreihe der Fakultät Mathematik 16/2013, Working Paper.

mathematical programs with complementarity constraints

Blank, Luise and Farshbaf-Shaker, Hassan and Hecht, Claudia and Michl, Josef and Rupprecht, Christoph (2013) Optimal control of Allen-Cahn systems. Preprintreihe der Fakultät Mathematik 21/2013, Working Paper.

Farshbaf-Shaker, Hassan (2011) A penalty approach to optimal control of Allen-Cahn variational inequalities: MPEC-view. Preprintreihe der Fakultät Mathematik 6/2011, Working Paper. (Unpublished)

Farshbaf-Shaker, Hassan (2011) A relaxation approach to vector-valued Allen-Cahn MPEC problems. Preprintreihe der Fakultät Mathematik 27/2011, Working Paper.

Mathematische Physik

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

Mean curvature flow

Depner, Daniel and Garcke, Harald and Kohsaka, Yoshihito (2012) Mean curvature flow with triple junctions in higher space dimensions. Preprintreihe der Fakultät Mathematik 13/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.

Depner, Daniel (2010) Stability analysis of geometric evolution equations with triple lines
and boundary contact.
PhD, Universität Regensburg

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

Mehrphasensystem

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

Modeling

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

moving boundary problem

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

MPCCs

Farshbaf-Shaker, Hassan and Hecht, Claudia (2013) Optimal control of elastic vector-valued Allen-Cahn variational inequalities. Preprintreihe der Fakultät Mathematik 16/2013, Working Paper.

MPECs

Farshbaf-Shaker, Hassan (2011) A penalty approach to optimal control of Allen-Cahn variational inequalities: MPEC-view. Preprintreihe der Fakultät Mathematik 6/2011, Working Paper. (Unpublished)

Farshbaf-Shaker, Hassan (2011) A relaxation approach to vector-valued Allen-Cahn MPEC problems. Preprintreihe der Fakultät Mathematik 27/2011, Working Paper.

Mullins–Sekerka

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.

Mullins–Sekerka problem

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

Mumford-Shah

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

Navier boundary conditions

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Preprintreihe der Fakultät Mathematik 1/2011, Working Paper. (Unpublished)

Navier-Stokes flow

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

Navier–Stokes

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) A stable parametric finite element discretization of two-phase Navier–Stokes flow. Preprintreihe der Fakultät Mathematik 17/2013, Working Paper.

network of curves

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), pp. 437-472.

networks of curves

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Numer. Methods Partial Differential Equations 27 (1), pp. 1-30.

Newton method

Blank, Luise and Sarbu, Lavinia and Stoll, Martin (2010) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Preprintreihe der Fakultät Mathematik 11/2010, Working Paper. (Unpublished)

Nichtlineare partielle Differentialgleichung

Kwak, David Jung Chul (2008) The sharp-interface limit of the Cahn-Hilliard system with elasticity. PhD, Universität Regensburg

non-local constraints

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2011) Non-local Allen-Cahn systems: Analysis and a primal dual active set method. Preprintreihe der Fakultät Mathematik 2/2011, Working Paper. (Unpublished)

nonlinear degenerate parabolic system

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Mathematics of Computation (MCOM) 75 (253), pp. 7-41.

nonlinear evolution equations

Farshbaf-Shaker, Hassan (2011) Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility. Preprintreihe der Fakultät Mathematik 24/201, Working Paper.

Farshbaf-Shaker, Hassan (2011) On a nonlocal viscous phase separation model. Preprintreihe der Fakultät Mathematik 23/201, Working Paper.

nonlinear parabolic system of differential equations

Stinner, Björn (2006) Derivation and analysis of a phase field model for alloy solidification. PhD, Universität Regensburg

nonlinear splines

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Elastic flow with junctions: Variational approximation and applications to nonlinear splines. Preprintreihe der Fakultät Mathematik 30/2011, Working Paper.

Nonlocal phase separation models

Farshbaf-Shaker, Hassan (2011) Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility. Preprintreihe der Fakultät Mathematik 24/201, Working Paper.

Farshbaf-Shaker, Hassan (2011) On a nonlocal viscous phase separation model. Preprintreihe der Fakultät Mathematik 23/201, Working Paper.

numerical simulations

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Styles, Vanessa (2013) Relating phase field and sharp interface approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 02/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

opti- mality conditions

Blank, Luise and Farshbaf-Shaker, Hassan and Hecht, Claudia and Michl, Josef and Rupprecht, Christoph (2013) Optimal control of Allen-Cahn systems. Preprintreihe der Fakultät Mathematik 21/2013, Working Paper.

optimal design

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

optimality conditions

Farshbaf-Shaker, Hassan and Hecht, Claudia (2013) Optimal control of elastic vector-valued Allen-Cahn variational inequalities. Preprintreihe der Fakultät Mathematik 16/2013, Working Paper.

Farshbaf-Shaker, Hassan (2011) A penalty approach to optimal control of Allen-Cahn variational inequalities: MPEC-view. Preprintreihe der Fakultät Mathematik 6/2011, Working Paper. (Unpublished)

Farshbaf-Shaker, Hassan (2011) A relaxation approach to vector-valued Allen-Cahn MPEC problems. Preprintreihe der Fakultät Mathematik 27/2011, Working Paper.

Optimization

Blank, Luise and Butz, Martin and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2010) Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques. Preprintreihe der Fakultät Mathematik 7/2010, Working Paper. (Unpublished)

parabolic bi-obstacle problems

Farshbaf-Shaker, Hassan (2011) A relaxation approach to vector-valued Allen-Cahn MPEC problems. Preprintreihe der Fakultät Mathematik 27/2011, Working Paper.

parabolic Hölder theory

Depner, Daniel and Garcke, Harald and Kohsaka, Yoshihito (2012) Mean curvature flow with triple junctions in higher space dimensions. Preprintreihe der Fakultät Mathematik 13/2012, Working Paper.

parabolic obstacle problems

Blank, Luise and Farshbaf-Shaker, Hassan and Hecht, Claudia and Michl, Josef and Rupprecht, Christoph (2013) Optimal control of Allen-Cahn systems. Preprintreihe der Fakultät Mathematik 21/2013, Working Paper.

Farshbaf-Shaker, Hassan and Hecht, Claudia (2013) Optimal control of elastic vector-valued Allen-Cahn variational inequalities. Preprintreihe der Fakultät Mathematik 16/2013, Working Paper.

Farshbaf-Shaker, Hassan (2011) A penalty approach to optimal control of Allen-Cahn variational inequalities: MPEC-view. Preprintreihe der Fakultät Mathematik 6/2011, Working Paper. (Unpublished)

parabolic partial differential equations

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Stable phase field approximations of anisotropic solidification. Preprintreihe der Fakultät Mathematik 19/2012, Working Paper.

Parabolisches Differentialgleichungssystem

Stinner, Björn (2006) Derivation and analysis of a phase field model for alloy solidification. PhD, Universität Regensburg

parametric finite elements

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

parametric finite elements

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Elastic flow with junctions: Variational approximation and applications to nonlinear splines. Preprintreihe der Fakultät Mathematik 30/2011, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Preprintreihe der Fakultät Mathematik 1/2011, Working Paper. (Unpublished)

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Numer. Methods Partial Differential Equations 27 (1), pp. 1-30.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) A Parametric Finite Element Method for Forth Order Geometric Evolution Equations. Journal of Computational Physics 222 (1), pp. 441-467.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

parametric method

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

parametric sharp interface methods

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

partial differential equations on manifolds

Depner, Daniel (2011) Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact. Preprintreihe der Fakultät Mathematik 7/2011, Working Paper. (Unpublished)

Depner, Daniel and Garcke, Harald (2011) Linearized stability analysis of surface diffusion for hypersurfaces with triple lines. Preprintreihe der Fakultät Mathematik 15/2011, Working Paper. (Unpublished)

PDE-constrained optimization

Blank, Luise and Sarbu, Lavinia and Stoll, Martin (2010) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Preprintreihe der Fakultät Mathematik 11/2010, Working Paper. (Unpublished)

PDE-constraint optimization

Blank, Luise and Butz, Martin and Garcke, Harald (2010) Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. EASIM: Control, Optimisation and Calculus of Variations, E-first.

phase field methods

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

phase field model

Garcke, Harald and Lam, Kei Fong and Stinner, Björn (2013) Diffuse interface modelling of soluble surfactants in two-pahse flow. Preprintreihe der Fakultät Mathematik 03/2013, Working Paper.

Stinner, Björn (2006) Derivation and analysis of a phase field model for alloy solidification. PhD, Universität Regensburg

phase field models

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Stable phase field approximations of anisotropic solidification. Preprintreihe der Fakultät Mathematik 19/2012, Working Paper.

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

phase separation

Kwak, David Jung Chul (2008) The sharp-interface limit of the Cahn-Hilliard system with elasticity. PhD, Universität Regensburg

phase �eld approach

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Rupprecht, Christoph and Styles, Vanessa (2013) Multi-material phase field approach to structural topology optimization. Preprintreihe der Fakultät Mathematik 22/2013, Working Paper.

phase-field method

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Styles, Vanessa (2013) Relating phase field and sharp interface approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 02/2013, Working Paper.

Phase-field approximation

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Srisupattarawanit, Tarin and Styles, Vanessa and Voigt, Axel (2010) Phase-field approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 6/2010, Working Paper. (Unpublished)

Phase-field method

Blank, Luise and Butz, Martin and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2010) Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques. Preprintreihe der Fakultät Mathematik 7/2010, Working Paper. (Unpublished)

Phasenfeldmodell

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

Stinner, Björn (2006) Derivation and analysis of a phase field model for alloy solidification. PhD, Universität Regensburg

Phasenseparation

Kwak, David Jung Chul (2008) The sharp-interface limit of the Cahn-Hilliard system with elasticity. PhD, Universität Regensburg

Phasenumwandlung

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

Poincar´e inequality on a network

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), pp. 437-472.

preconditioning

Butz, Martin (2012) Computational methods for Cahn-Hilliard variational inequalities. PhD, Universität Regensburg

Blank, Luise and Sarbu, Lavinia and Stoll, Martin (2010) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Preprintreihe der Fakultät Mathematik 11/2010, Working Paper. (Unpublished)

primal-dual active set method

Butz, Martin (2012) Computational methods for Cahn-Hilliard variational inequalities. PhD, Universität Regensburg

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2011) Non-local Allen-Cahn systems: Analysis and a primal dual active set method. Preprintreihe der Fakultät Mathematik 2/2011, Working Paper. (Unpublished)

region based

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

restoration

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

Saddle point systems

Blank, Luise and Sarbu, Lavinia and Stoll, Martin (2010) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Preprintreihe der Fakultät Mathematik 11/2010, Working Paper. (Unpublished)

saddle point structure

Blank, Luise and Butz, Martin and Garcke, Harald (2010) Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. EASIM: Control, Optimisation and Calculus of Variations, E-first.

Schur complement

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) A Parametric Finite Element Method for Forth Order Geometric Evolution Equations. Journal of Computational Physics 222 (1), pp. 441-467.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

second-order equation for the surfactant concentration

Garcke, Harald and Wieland, Sandra (2006) Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of a Coupled Degenerate System. SIAM Journal on Mathematical Analysis 37 (6), 2025-2048 .

semi-smooth Newton method

Butz, Martin (2012) Computational methods for Cahn-Hilliard variational inequalities. PhD, Universität Regensburg

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2011) Non-local Allen-Cahn systems: Analysis and a primal dual active set method. Preprintreihe der Fakultät Mathematik 2/2011, Working Paper. (Unpublished)

semi-smooth Newton methods

Blank, Luise and Butz, Martin and Garcke, Harald (2010) Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. EASIM: Control, Optimisation and Calculus of Variations, E-first.

shape sensitivity analysis

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Rupprecht, Christoph and Styles, Vanessa (2013) Multi-material phase field approach to structural topology optimization. Preprintreihe der Fakultät Mathematik 22/2013, Working Paper.

Shape and topology optimization

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Rupprecht, Christoph and Styles, Vanessa (2013) Multi-material phase field approach to structural topology optimization. Preprintreihe der Fakultät Mathematik 22/2013, Working Paper.

shape calculus

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Styles, Vanessa (2013) Relating phase field and sharp interface approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 02/2013, Working Paper.

shape optimization

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

singular perturbations

Garcke, Harald and Kraus, Christiane (2010) An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model. PAMM Proc. Appl. Math. Mech. 10, pp. 519-520.

snow crystal growth

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

soap bubbles

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.

solidification

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

spectral analysis

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

Spektralanalyse

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

Spektralanalysis

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

stability of stationary solutions

Garcke, Harald and Ito, Kazuo and Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), 1031-1056 .

stationary solution

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

Stationäre Lösung

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

Stefan problem

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Phase Field Models versus Parametric Front Tracking Methods:
Are they accurate and computationally efficient?
Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Stable phase field approximations of anisotropic solidification. Preprintreihe der Fakultät Mathematik 19/2012, Working Paper.

Garcke, Harald and Schaubeck, Stefan (2011) Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law. Preprintreihe der Fakultät Mathematik 16/2011, Working Paper. (Unpublished)

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

Stokes equations

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) Eliminating spurious velocities with a stable approximation of incompressible two-phase flow. Preprintreihe der Fakultät Mathematik 12/2013, Working Paper.

Stokes flow

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

structural optimization

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

Structural topology optimization

Blank, Luise and Farshbaf-Shaker, Hassan and Garcke, Harald and Styles, Vanessa (2013) Relating phase field and sharp interface approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 02/2013, Working Paper.

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Srisupattarawanit, Tarin and Styles, Vanessa and Voigt, Axel (2010) Phase-field approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 6/2010, Working Paper. (Unpublished)

Sturm-Liouville-Operator

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

surface clusters

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.

surface diffusion

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Preprintreihe der Fakultät Mathematik 16/2012, Working Paper.

Depner, Daniel (2011) Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact. Preprintreihe der Fakultät Mathematik 7/2011, Working Paper. (Unpublished)

Depner, Daniel and Garcke, Harald (2011) Linearized stability analysis of surface diffusion for hypersurfaces with triple lines. Preprintreihe der Fakultät Mathematik 15/2011, Working Paper. (Unpublished)

Depner, Daniel (2010) Stability analysis of geometric evolution equations with triple lines
and boundary contact.
PhD, Universität Regensburg

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), pp. 437-472.

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2009) Stability analysis of phase boundary motion by surface diffusion with triple junction. Banach Center Publications 86, pp. 83-101.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) A Parametric Finite Element Method for Forth Order Geometric Evolution Equations. Journal of Computational Physics 222 (1), pp. 441-467.

Garcke, Harald and Ito, Kazuo and Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), 1031-1056 .

surface tension

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) A stable parametric finite element discretization of two-phase Navier–Stokes flow. Preprintreihe der Fakultät Mathematik 17/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) Eliminating spurious velocities with a stable approximation of incompressible two-phase flow. Preprintreihe der Fakultät Mathematik 12/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Finite element approximation of one-sided Stefan problems with anisotropic,
approximately crystalline, Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229, pp. 6270-6299.

surfactant

Garcke, Harald and Lam, Kei Fong and Stinner, Björn (2013) Diffuse interface modelling of soluble surfactants in two-pahse flow. Preprintreihe der Fakultät Mathematik 03/2013, Working Paper.

tangential movement

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Elastic flow with junctions: Variational approximation and applications to nonlinear splines. Preprintreihe der Fakultät Mathematik 30/2011, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Preprintreihe der Fakultät Mathematik 1/2011, Working Paper. (Unpublished)

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) A Parametric Finite Element Method for Forth Order Geometric Evolution Equations. Journal of Computational Physics 222 (1), pp. 441-467.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

Thermodynamics

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

Thermodynamik

Haas, Robert (2007) Modeling and analysis for general non-isothermal convective phase field systems. PhD, Universität Regensburg

topology changes

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

topology optimization

Hecht, Claudia (2014) Shape and topology optimization in fluids using a phase field approach and an application in structural optimization. PhD, Universität Regensburg

triangulated category

Muro, Fernando and Tonks, Andrew and Witte, Malte (2010) On determinant functors and K-theory. Preprintreihe der Fakultät Mathematik 12/2010, Working Paper. (Unpublished)

Tripelpunkt

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

triple junction

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2009) Stability analysis of phase boundary motion by surface diffusion with triple junction. Banach Center Publications 86, pp. 83-101.

triple junction lines

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.

triple junctions

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) A Parametric Finite Element Method for Forth Order Geometric Evolution Equations. Journal of Computational Physics 222 (1), pp. 441-467.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

triple lines

Depner, Daniel and Garcke, Harald and Kohsaka, Yoshihito (2012) Mean curvature flow with triple junctions in higher space dimensions. Preprintreihe der Fakultät Mathematik 13/2012, Working Paper.

Depner, Daniel and Garcke, Harald (2011) Linearized stability analysis of surface diffusion for hypersurfaces with triple lines. Preprintreihe der Fakultät Mathematik 15/2011, Working Paper. (Unpublished)

Depner, Daniel (2010) Stability analysis of geometric evolution equations with triple lines
and boundary contact.
PhD, Universität Regensburg

triple-junction

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

Trust-Region-Newton method

Blank, Luise and Farshbaf-Shaker, Hassan and Hecht, Claudia and Michl, Josef and Rupprecht, Christoph (2013) Optimal control of Allen-Cahn systems. Preprintreihe der Fakultät Mathematik 21/2013, Working Paper.

two-phase flow

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) A stable parametric finite element discretization of two-phase Navier–Stokes flow. Preprintreihe der Fakultät Mathematik 17/2013, Working Paper.

Garcke, Harald and Lam, Kei Fong and Stinner, Björn (2013) Diffuse interface modelling of soluble surfactants in two-pahse flow. Preprintreihe der Fakultät Mathematik 03/2013, Working Paper.

Van der Waals–Cahn–Hilliard energy

Garcke, Harald and Kraus, Christiane (2010) An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model. PAMM Proc. Appl. Math. Mech. 10, pp. 519-520.

variational inequalities

Blank, Luise and Butz, Martin and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2010) Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques. Preprintreihe der Fakultät Mathematik 7/2010, Working Paper. (Unpublished)

variational inequality

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2011) Non-local Allen-Cahn systems: Analysis and a primal dual active set method. Preprintreihe der Fakultät Mathematik 2/2011, Working Paper. (Unpublished)

variational methods

Benninghoff, Heike and Garcke, Harald (2013) Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. Preprintreihe der Fakultät Mathematik 15/2013, Working Paper.

Vector-valued Allen-Cahn system

Farshbaf-Shaker, Hassan and Hecht, Claudia (2013) Optimal control of elastic vector-valued Allen-Cahn variational inequalities. Preprintreihe der Fakultät Mathematik 16/2013, Working Paper.

Farshbaf-Shaker, Hassan (2011) A relaxation approach to vector-valued Allen-Cahn MPEC problems. Preprintreihe der Fakultät Mathematik 27/2011, Working Paper.

vector-valued obstacle problems

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2011) Non-local Allen-Cahn systems: Analysis and a primal dual active set method. Preprintreihe der Fakultät Mathematik 2/2011, Working Paper. (Unpublished)

viscous Cahn{Hilliard equation

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2012) Stable phase field approximations of anisotropic solidification. Preprintreihe der Fakultät Mathematik 19/2012, Working Paper.

viscous phase separation models

Farshbaf-Shaker, Hassan (2011) Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility. Preprintreihe der Fakultät Mathematik 24/201, Working Paper.

Farshbaf-Shaker, Hassan (2011) On a nonlocal viscous phase separation model. Preprintreihe der Fakultät Mathematik 23/201, Working Paper.

Waldhausen category

Muro, Fernando and Tonks, Andrew and Witte, Malte (2010) On determinant functors and K-theory. Preprintreihe der Fakultät Mathematik 12/2010, Working Paper. (Unpublished)

Willmore flow

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Elastic flow with junctions: Variational approximation and applications to nonlinear splines. Preprintreihe der Fakultät Mathematik 30/2011, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Preprintreihe der Fakultät Mathematik 1/2011, Working Paper. (Unpublished)

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) A Parametric Finite Element Method for Forth Order Geometric Evolution Equations. Journal of Computational Physics 222 (1), pp. 441-467.

XFEM

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) A stable parametric finite element discretization of two-phase Navier–Stokes flow. Preprintreihe der Fakultät Mathematik 17/2013, Working Paper.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2013) Eliminating spurious velocities with a stable approximation of incompressible two-phase flow. Preprintreihe der Fakultät Mathematik 12/2013, Working Paper.

This list was generated on Wed Sep 24 02:29:47 2014 CEST.
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