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Number of items at this level: 77.

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

Garcke, Harald and Hinze, Michael and Kahle, Christian (2013) A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. Preprintreihe der Fakultät Mathematik 3/2014, Working Paper.

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.

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.

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.

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.

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.

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.

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.

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

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) 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) Numerical computations of facetted pattern formation in snow crystal growth. Preprintreihe der Fakultät Mathematik 7/2012, 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.

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.

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.

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)

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.

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)

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)

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

Farshbaf-Shaker, M. Hassan and Garcke, Harald (2011) Thermodynamically consistent higher order phase field Navier-Stokes models with applications to biological membranes. Discrete Contin. Dyn. Syst. Ser. S 4 (2), pp. 371-389.

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

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)

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.

Alfaro, Matthieu and Garcke, Harald and Hilhorst, Danielle and Matano, Hiroshi and Schätzle, Rainer (2010) Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation. Proc. Roy. Soc. Edinburgh Sect. A 140 (4), pp. 673-706.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Numerical approximation of gradient flows for closed curves in Rd. IMA J. Numer. Anal. 30, pp. 4-60.

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

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.

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)

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.

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.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2009) Finite Element Approximation of Coupled Surface and Grain Boundary Motion with Applications to Thermal Grooving and Sintering. Preprintreihe der Fakultät Mathematik 11/2009, Working Paper, Regensburg. (Submitted)

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2009) Primal-dual active set methods for Allen-Cahn variational inequalities with non-local constraints. Preprintreihe der Fakultät Mathematik 06/2009, Working Paper, Regensburg.

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.

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

Nestler, Britta and Wendler, Frank and Selzer, Michael and Stinner, Björn and Garcke, Harald (2008) A phase-field model for multiphase systems with preserved volume fractions. Phys. Rev. E 78 78 (1), 011604.

Garcke, Harald and Nestler, Britta and Stinner, Björn and Wendler, Frank (2008) Allen-Cahn systems with volume constraints. Mathematical Models and Methods in Applied Sciences (M3AS) 18 (8), pp. 1347-1381.

Garcke, Harald and Kohsaka, Yoshihito and Sevcovic, Daniel (2008) Nonlinear stability of stationary solutions for curvature flow with triple junction. Preprintreihe der Fakultät Mathematik 07/2008, Working Paper, Regensburg. (Submitted)

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2008) Nonlinear stability of stationary solutions for surface diffusion with boundary conditions. SIAM J. Math. Anal. 40 (2), pp. 491-515.

Garcke, Harald (2008) The ¡-limit of the Ginzburg-Landau energy in an elastic medium. Advances in mathematical sciences and applications 18 (2), pp. 345-379.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) On the parametric finite element approximation of evolving hypersurfaces in R³. SIAM Journal on Scientific Computing 29 (3), pp. 1006-1041.

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

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 (2007) A Phase Field Model for the Electromigration of Intergranular Voids. nterfaces and Free Boundaries 9, pp. 171-210.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) Parametric approximation of Willmore flow and related geometric evolution equations. Preprintreihe der Fakultät Mathematik 22/2007, Working Paper, Regensburg. (Submitted)

Stinner, Björn (2007) Weak solutions to a multi-phase field system of parabolic equations related to alloy solidification. Preprintreihe der Fakultät Mathematik 06/2007, Working Paper, Regensburg. (Submitted)

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

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.

Garcke, Harald and Lenz, Martin and Niethammer, Barbara and Rumpf, Martin and Weikard, Ulrich (2006) Multiple scales in phase separating systems with elastic misfit. In: Mielke, Alexander, (ed.) Analysis, Modeling and Simulation of Multiscale Problems. Springer, Berlin, pp. 153-178. ISBN 3-540-35656-8; 978-3-540-35656-1.

Eck, Christof and Garcke, Harald and Stinner, Björn (2006) Multiscale Problems in Solidification Processes. In: Mielke, Alexander, (ed.) Analysis, Modeling and Simulation of Multiscale Problems. Springer, Berlin, pp. 21-64. ISBN 3-540-35656-8; 978-3-540-35656-1.

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

Garcke, Harald and Kwak, David (2006) On asymptotic limits of Cahn-Hilliard systems with elastic misfit. In: Mielke, Alexander, (ed.) Analysis, Modeling and Simulation of Multiscale Problems. Springer, Berlin, pp. 87-112. ISBN 3-540-35656-8; 978-3-540-35656-1.

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities. ?. (Submitted)

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations. SIAM Journal on Scientific Computing. (In Press)

Garcke, Harald and Stinner, Björn (2006) Second order phase field asymptotics for multi-component systems. Interfaces and Free Boundaries 8, pp. 131-157.

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 .

Blank, Luise (2005) Analytical Considerations of State Estimation: Regularization and Error Propagation. Preprintreihe der Fakultät Mathematik 11/2005, Working Paper, Regensburg.

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 .

Garcke, Harald (2005) Mechanical Effects in the Cahn-Hilliard Model: A Review on Mathematical Results. In: Miranville, Alain, (ed.) Mathematical methods and models in phase transitions. Nova Science Publishers, New York, pp. 43-77. ISBN 1-594-54317-8.

Nestler, Britta and Garcke, Harald and Stinner, Björn (2005) Multicomponent Alloy Solidification: Phase-Field Modelling and Simulations. Physical Review E 71 (4), 041609.

Garcke, Harald and Weikard, Ulrich (2005) Numerical Approximation of the Cahn-Larché Equation. Numerische Mathematik 100 (4), pp. 639-662.

Garcke, Harald (2005) On a Cahn-Hilliard model for phase separation with elastic misfit. Annales de l'Institut Henri Poincaré: Analyse non-linéaire = Nonlinear analysis 22 (2), pp. 165-185.

Blank, Luise (2005) State Estimation analysed as Inverse Problem. Preprintreihe der Fakultät Mathematik 17/2005, Working Paper, Regensburg.

Stinner, Björn (2005) Surface energies in multi phase systems with diffuse phase boundaries. Preprintreihe der Fakultät Mathematik 13/2005, Working Paper, Regensburg.

Finster, Felix (2005) The Principle of the Fermionic Projector: A New Variational Principle in Space-Time. Preprintreihe der Fakultät Mathematik 16/2005, Working Paper, Regensburg.

This list was generated on Wed Nov 26 04:12:19 2014 CET.
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