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Bibliographie der Universität Regensburg

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Anzahl der Einträge in dieser Kategorie: 177.

2024

Trautwein, Dennis (2024) Viscoelastic Phase-Field Models for Tumour Growth: Modelling, Analysis and Numerics. Dissertation, Universität Regensburg.

Abels, Helmut , Garcke, Harald und Haselböck, Jonas (2024) Existence of weak solutions to a Cahn–Hilliard–Biot system. Nonlinear Analysis: Real World Applications 81, S. 104194.

Eto, Tokuhiro, Garcke, Harald und Nürnberg, Robert (2024) A structure-preserving finite element method for the multi-phase Mullins–Sekerka problem with triple junctions. Numerische Mathematik 156, S. 1479-1509.

Garcke, Harald , Hüttl, Paul , Kahle, Christian und Knopf, Patrik (2024) Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures. Applied Mathematics & Optimization 89 (24).

2023

Nöldner, Philipp, Burger, Martin und Garcke, Harald (2023) Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik.

Hüttl, Paul (2023) Phase-Field Methods for Spectral Shape and Topology Optimization. Dissertation, Universität Regensburg.

Abels, Helmut , Garcke, Harald und Giorgini, Andrea (2023) Global regularity and asymptotic stabilization for the incompressible Navier–Stokes-Cahn–Hilliard model with unmatched densities. Mathematische Annalen 389, S. 1267-1321.

Garcke, Harald , Knopf, Patrik , Nürnberg, Robert und Zhao, Quan (2023) A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies. Journal of Nonlinear Science 33 (2), Art. no. 34.

Abels, Helmut , Bürger, Felicitas und Garcke, Harald (2023) Short time existence for coupling of scaled mean curvature flow and diffusion. Journal of Evolution Equations 23 (14).

2022

Bao, Weizhu, Garcke, Harald , Nürnberg, Robert und Zhao, Quan (2022) A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters. Numerical Methods for Partial Differential Equations 39 (1), S. 759-794.

Garcke, Harald , Knopf, Patrik , Mitra, Sourav und Schlömerkemper, Anja (2022) Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids. Calculus of Variations and Partial Differential Equations 61 (5).

Elliott, Charles M., Garcke, Harald und Kovács, Balázs (2022) Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik 151 (2), S. 873-925.

Garcke, Harald und Rauchecker, Maximilian (2022) Stability analysis for stationary solutions of the Mullins-Sekerka flow with boundary contact. MATHEMATISCHE NACHRICHTEN 295 (4), S. 683-705. Zugang zum Volltext eingeschränkt.

Werner, Philipp, Burger, Martin , Frank, Florian und Garcke, Harald (2022) A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics. SIAM Journal on Applied Mathematics 82 (3), S. 1091-1112. Volltext nicht vorhanden.

Garcke, Harald, Mitra, Sourav und Nikolić, Vanja (2022) A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media. SIAM Journal on Control and Optimization 60 (4), S. 2297-2319. Volltext nicht vorhanden.

Garcke, Harald , Knopf, Patrik und Yayla, Sema (2022) Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions. Nonlinear Analysis 215, S. 112619. Volltext nicht vorhanden.

Garcke, Harald und Trautwein, Dennis (2022) Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport. Journal of Numerical Mathematics 30 (4), S. 295-324. Volltext nicht vorhanden.

Beschle, Cedric Aaron und Kovács, Balázs (2022) Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. Numerische Mathematik 151 (1), S. 1-48. Volltext nicht vorhanden.

Nick, Jörg, Kovács, Balázs und Lubich, Christian (2022) Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik 150 (4), S. 1123-1164. Volltext nicht vorhanden.

Garcke, Harald, Kovács, Balázs und Trautwein, Dennis (2022) Viscoelastic Cahn–Hilliard models for tumor growth. Mathematical Models and Methods in Applied Sciences 32 (13), S. 2673-2758. Volltext nicht vorhanden.

2021

Garcke, Harald, Hüttl, Paul und Knopf, Patrik (2021) Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach. Advances in Nonlinear Analysis 11 (1), S. 159-197.

Menzel, Julia (2021) Boundary Value Problems for Evolutions of Willmore Type. Dissertation, Universität Regensburg.

Ebenbeck, Matthias, Garcke, Harald und Nürnberg, Robert (2021) Cahn–Hilliard–Brinkman systems for tumour growth. Discrete and Continuous Dynamical Systems - Series S 14 (11), S. 3989. Volltext nicht vorhanden.

Garcke, H. und Gößwein, M. (2021) Non-linear stability of double bubbles under surface diffusion. Journal of Differential Equations 302, S. 617-661. Volltext nicht vorhanden.

Garcke, Harald und Nürnberg, Robert (2021) Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. Numerische Mathematik 149 (2), S. 375-415. Volltext nicht vorhanden.

Garcke, Harald, Lam, Kei Fong und Signori, Andrea (2021) On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects. Nonlinear Analysis: Real World Applications 57, S. 103192. Volltext nicht vorhanden.

Garcke, Harald, Lam, Kei Fong und Signori, Andrea (2021) Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects. SIAM Journal on Control and Optimization 59 (2), S. 1555-1580. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2021) Stable approximations for axisymmetric Willmore flow for closed and open surfaces. ESAIM: Mathematical Modelling and Numerical Analysis 55 (3), S. 833-885. Volltext nicht vorhanden.

Abels, Helmut, Arab, Nasrin und Garcke, Harald (2021) Standard planar double bubbles are dynamically stable under surface diffusion flow. Communications in Analysis and Geometry 29 (5), S. 1007-1060. Volltext nicht vorhanden.

2020

Ebenbeck, Matthias (2020) Cahn-Hilliard-Brinkman models for tumour growth: Modelling, analysis and optimal control. Dissertation, Universität Regensburg.

Garcke, Harald und Matioc, Bogdan-Vasile (2020) On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces. Journal of Evolution Equations.

Knopf, Patrik und Lam, Kei Fong (2020) Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions. Nonlinearity 33 (8), S. 4191-4235. Volltext nicht vorhanden.

Agosti, A. , Ciarletta, P., Garcke, H. und Hinze, M. (2020) Learning patient‐specific parameters for a diffuse interface glioblastoma model from neuroimaging data. Mathematical Methods in the Applied Sciences 43 (15), S. 8945-8979. Volltext nicht vorhanden.

Garcke, Harald, Menzel, Julia und Pluda, Alessandra (2020) Long time existence of solutions to an elastic flow of networks. Communications in Partial Differential Equations 45 (10), S. 1253-1305. Volltext nicht vorhanden.

Garcke, Harald und Yayla, Sema (2020) Long-time dynamics for a Cahn–Hilliard tumor growth model with chemotaxis. Zeitschrift für angewandte Mathematik und Physik 71 (4). Volltext nicht vorhanden.

Garcke, Harald und Nürnberg, Robert (2020) Structure-preserving discretizations of gradient flows for axisymmetric two-phase biomembranes. IMA Journal of Numerical Analysis 41 (3), S. 1899-1940. Volltext nicht vorhanden.

Garcke, Harald und Knopf, Patrik (2020) Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach. SIAM Journal on Mathematical Analysis 52 (1), S. 340-369. Volltext nicht vorhanden.

2019

Rauchecker, Maximilian (2019) Evolution of interfaces in two-phase problems with ninety degree contact angle. Dissertation, Universität Regensburg.

Gößwein, Michael (2019) Surface diffusion flow of triple junction clusters in higher space dimensions. Dissertation, Universität Regensburg.

Ebenbeck, Matthias und Garcke, Harald (2019) Analysis of a Cahn–Hilliard–Brinkman model for tumour growth with chemotaxis. Journal of Differential Equations 266 (9), S. 5998-6036. Volltext nicht vorhanden.

Knopf, Patrik (2019) Confined steady states of a Vlasov‐Poisson plasma in an infinitely long cylinder. Mathematical Methods in the Applied Sciences 42 (18), S. 6369-6384. Volltext nicht vorhanden.

Abels, Helmut, Garcke, Harald und Weber, Josef (2019) Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants. Communications on Pure & Applied Analysis 18 (1), S. 195-225. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2019) Finite element methods for fourth order axisymmetric geometric evolution equations. Journal of Computational Physics 376, S. 733-766. Volltext nicht vorhanden.

Nürnberg, Robert, Garcke, Harald und Barrett, John W (2019) Numerical approximation of curve evolutions in Riemannian manifolds. IMA Journal of Numerical Analysis 40 (3), S. 1601-1651. Volltext nicht vorhanden.

Ebenbeck, Matthias und Garcke, Harald (2019) On a Cahn--Hilliard--Brinkman Model for Tumor Growth and Its Singular Limits. SIAM Journal on Mathematical Analysis 51 (3), S. 1868-1912. Volltext nicht vorhanden.

Garcke, Harald, Hinze, Michael und Kahle, Christian (2019) Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. ESAIM: Control, Optimisation and Calculus of Variations 25, S. 13. Volltext nicht vorhanden.

Ebenbeck, Matthias und Knopf, Patrik (2019) Optimal medication for tumors modeled by a Cahn–Hilliard–Brinkman equation. Calculus of Variations and Partial Differential Equations 58 (4). Volltext nicht vorhanden.

Elliott, Charles M., Fritz, Hans und Hobbs, Graham (2019) Second order splitting for a class of fourth order equations. Mathematics of Computation 88 (320), S. 2605-2634. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2019) Stable Discretizations of Elastic Flow in Riemannian Manifolds. SIAM Journal on Numerical Analysis 57 (4), S. 1987-2018. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2019) Variational discretization of axisymmetric curvature flows. Numerische Mathematik 141 (3), S. 791-837. Volltext nicht vorhanden.

2018

Dedè, Luca, Garcke, Harald und Lam, Kei Fong (2018) A Hele–Shaw–Cahn–Hilliard Model for Incompressible Two-Phase Flows with Different Densities. Journal of Mathematical Fluid Mechanics 20 (2), S. 531-567. Volltext nicht vorhanden.

Garcke, Harald , Lam, Kei Fong , Nürnberg, Robert und Sitka, Emanuel (2018) A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis. Mathematical Models and Methods in Applied Sciences 28 (03), S. 525-577. Volltext nicht vorhanden.

Garcke, Harald , Hinze, Michael , Kahle, Christian und Lam, Kei Fong (2018) A phase field approach to shape optimization in Navier–Stokes flow with integral state constraints. Advances in Computational Mathematics 44 (5), S. 1345-1383. Volltext nicht vorhanden.

Garcke, Harald , Lam, Kei Fong und Styles, Vanessa (2018) Cahn--Hilliard Inpainting with the Double Obstacle Potential. SIAM Journal on Imaging Sciences 11 (3), S. 2064-2089. Volltext nicht vorhanden.

Garcke, Harald , Lam, Kei Fong und Rocca, Elisabetta (2018) Optimal Control of Treatment Time in a Diffuse Interface Model of Tumor Growth. Applied Mathematics & Optimization 78 (3), S. 495-544. Volltext nicht vorhanden.

2017

Dedè, Luca, Garcke, Harald und Lam, Kei Fong (2017) A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities. Preprintreihe der Fakultät Mathematik 1/2017, Working Paper. (Eingereicht)

Garcke, Harald, Lam, Kei Fong, Nürnberg, Robert und Sitka, Emanuel (2017) A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Preprintreihe der Fakultät Mathematik 4/2017, Working Paper. (Eingereicht)

Garcke, Harald, Hinze, Michael, Kahle, Christian und Lam, Kei Fong (2017) A phase field approach to shape optimization in Navier{Stokes
flow with integral state constraints. Preprintreihe der Fakultät Mathematik 5/2017, Working Paper. (Eingereicht)

Reitzle, M., Kieffer-Roth, C., Garcke, H. und Weigand, B. (2017) A volume-of-fluid method for three-dimensional hexagonal solidification processes. Journal of Computational Physics 339, S. 356-369. Volltext nicht vorhanden.

Garcke, Harald und Fong Lam, Kei (2017) Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis. Discrete & Continuous Dynamical Systems - A 37 (8), S. 4277-4308. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2017) Finite element approximation for the dynamics of fluidic two-phase biomembranes. ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), S. 2319-2366. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2017) Finite element approximation of a sharp interface approach for gradient flow dynamics of two-phase biomembranes. Preprintreihe der Fakultät Mathematik 6/2017, Working Paper. (Eingereicht)

Benninghoff, Heike und Garcke, Harald (2017) Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes. Journal of Scientific Computing 72 (3), S. 1333-1367. Volltext nicht vorhanden.

Nürnberg, Robert, Garcke, Harald und Barrett, John W. (2017) Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. IMA Journal of Numerical Analysis. Volltext nicht vorhanden.

Garcke, Harald und Lam, Kei Fong (2017) Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport. European Journal of Applied Mathematics 28 (02), S. 284-316.

2016

Arab, Nasrin (2016) Dynamical Stability in Relation to Variational Stability: Double Bubbles in R². Dissertation, Universität Regensburg.

Garcke, Harald, Lam, Kei Fong , Sitka, Emanuel und Styles, Vanessa (2016) A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport. Mathematical Models and Methods in Applied Sciences 26 (06), S. 1095-1148. Volltext nicht vorhanden.

Garcke, Harald, Kampmann, Johannes, Rätz, Andreas und Röger, Matthias (2016) A coupled surface-Cahn–Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes. Mathematical Models and Methods in Applied Sciences 26 (06), S. 1149-1189. Volltext nicht vorhanden.

Garcke, Harald, Hinze, Michael und Kahle, Christian (2016) A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. Applied Numerical Mathematics 99, S. 151-171. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2016) A stable numerical method for the dynamics of fluidic membranes. Numerische Mathematik 134 (4), S. 783-822. Volltext nicht vorhanden.

Garcke, Harald und Hecht, Claudia (2016) Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow. ESAIM: Control, Optimisation and Calculus of Variations 22 (2), S. 309-337. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2016) Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Mathematics of Computation 86 (305), S. 1037-1069. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2016) Finite element approximation for the dynamics of fluidic two-phase biomembranes. Preprintreihe der Fakultät Mathematik 9/2016, Working Paper. (Eingereicht)

Benninghoff, Heike und Garcke, Harald (2016) Image Segmentation Using Parametric Contours With Free Endpoints. IEEE Transactions on Image Processing 25 (4), S. 1639-1648. Volltext nicht vorhanden.

Garcke, Harald und Lam, Kei Fong (2016) On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms. Preprintreihe der Fakultät Mathematik 8/2016, Working Paper. (Eingereicht)

Garcke, Harald, Hinze, Michael und Kahle, Christian (2016) Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model. Preprintreihe der Fakultät Mathematik 10/2016, Working Paper. (Eingereicht)

Benninghoff, Heike und Garcke, Harald (2016) Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes. Journal of Mathematical Imaging and Vision 55 (1), S. 105-124. Volltext nicht vorhanden.

Garcke, Harald und Hecht, Claudia (2016) Shape and Topology Optimization in Stokes Flow with a Phase Field Approach. Applied Mathematics & Optimization 73 (1), S. 23-70. Volltext nicht vorhanden.

Garcke, Harald, Hecht, Claudia, Hinze, Michael, Kahle, Christian und Lam, Kei Fong (2016) Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach. Interfaces and Free Boundaries 18, S. 137-159.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2016) Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. Preprintreihe der Fakultät Mathematik 1/2016, Working Paper. (Eingereicht)

2015

Benninghoff, Heike (2015) Parametric methods for image processing using active contours with topology changes. Dissertation, Universität Regensburg.

Garcke, Harald, Lam, Kei Fong, Sitka, Emanuel und Styles, Vanessa (2015) A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Preprintreihe der Fakultät Mathematik 15/2015, Working Paper.

Garcke, Harald, Kampmann, Johannes, Rätz, Andreas und Röger, Matthias (2015) A coupled surface-Cahn--Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes. Preprintreihe der Fakultät Mathematik 16/2015, Working Paper.

Blank, Luise und Rupprecht, Christoph (2015) An extension of the projected gradient method to a Banach space setting with application in structural topology optimization. Preprintreihe der Fakultät Mathematik 04/2015, Working Paper.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2015) Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects. Preprintreihe der Fakultät Mathematik 14/2015, Working Paper.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2015) Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Preprintreihe der Fakultät Mathematik 03/2015, Working Paper.

Benninghoff, Heike und Garcke, Harald (2015) Image Segmentation and Restoration Using Parametric Contours With Free Endpoints. Preprintreihe der Fakultät Mathematik 07/2015, Working Paper.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2015) Numerical computations of the dynamics of fluidic membranes and vesicles. Preprintreihe der Fakultät Mathematik 05/2015, Working Paper.

Garcke, Harald und Benninghoff, Heike (2015) Segmentation of Three-dimensional Images with Parametric Active Surfaces and Topology Changes. Preprintreihe der Fakultät Mathematik 10/2015, Working Paper.

Garcke, Harald, Hecht, Claudia, Hinze, Michael, Kahle, Christian und Lam, Kei Fong (2015) Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach. Preprintreihe der Fakultät Mathematik 06/2015, Working Paper.

Garcke, Harald und Lam, Kei Fong (2015) Well-posedness of a Cahn--Hilliard system modelling tumour growth with chemotaxis and active transport. Preprintreihe der Fakultät Mathematik 17/2015, Working Paper.

2014

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

Garcke, Harald und Hecht, Claudia (2014) A phase field approach for shape and topology optimization in Stokes flow. Preprintreihe der Fakultät Mathematik 9/2014, Working Paper.

Garcke, Harald, Hinze, Michael und Kahle, Christian (2014) 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., Garcke, Harald und Nürnberg, Robert (2014) A stable numerical method for the dynamics of fluidic membranes. Preprintreihe der Fakultät Mathematik 18/2014, Working Paper.

Garcke, Harald und Hecht, Claudia (2014) Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow. Preprintreihe der Fakultät Mathematik 15/2014, Working Paper.

Garcke, Harald, Hecht, Claudia, Hinze, Michael und Kahle, Christian (2014) Numerical approximation of phase field based shape and topology optimization for fluids. Preprintreihe der Fakultät Mathematik 8/2014, Working Paper.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2014) Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient? Communications in Computational Physics (CiCP) 15, S. 506-555.

Blank, Luise, Garcke, Harald, Farshbaf-Shaker, Hassan und Styles, Vanessa (2014) Relating phase field and sharp interface approaches to structural topology optimization. Control, Optimisation and Calculus of Variations (ESAIM-COCV) 20, S. 1025-1058.

Garcke, Harald und Hecht, Claudia (2014) Shape and topology optimization in Stokes flow with a phase field approach. Preprintreihe der Fakultät Mathematik 10/2014, Working Paper.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2014) Stable finite element approximations of two-phase flow with soluble surfactant. Preprintreihe der Fakultät Mathematik 14/2014, Working Paper.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2014) Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. Preprintreihe der Fakultät Mathematik 5/2014, Working Paper.

2013

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

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

Barrett, John W., Garcke, Harald und 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, Farshbaf-Shaker, Hassan, Hecht, Claudia, Michl, Josef und Rupprecht, Christoph (2013) Optimal control of Allen-Cahn systems. Preprintreihe der Fakultät Mathematik 21/2013, Working Paper.

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

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

2012

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

Barrett, John W., Garcke, Harald und 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.

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

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

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

2011

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. (Unveröffentlicht)

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

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

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. (Unveröffentlicht)

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

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

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

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

Barrett, John W., Garcke, Harald und 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), S. 1-30.

Farshbaf-Shaker, M. Hassan und 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), S. 371-389.

2010

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

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

Garcke, Harald und 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, S. 519-520.

Alfaro, Matthieu, Garcke, Harald, Hilhorst, Danielle, Matano, Hiroshi und 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), S. 673-706.

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

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

Barrett, John W., Garcke, Harald und 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, S. 6270-6299.

Barrett, John W., Garcke, Harald und 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), S. 187-234.

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

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

Blank, Luise, Butz, Martin und 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, Ito, Kazuo und Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), S. 437-472.

2009

Barrett, John W., Garcke, Harald und 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. (Eingereicht)

Blank, Luise, Garcke, Harald, Sarbu, Lavinia und 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, Ito, Kazuo und Kohsaka, Yoshihito (2009) Stability analysis of phase boundary motion by surface diffusion with triple junction. Banach Center Publications 86, S. 83-101.

2008

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

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

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

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

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

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

2007

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

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

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

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2007) A Phase Field Model for the Electromigration of Intergranular Voids. nterfaces and Free Boundaries 9, S. 171-210.

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

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. (Eingereicht)

2006

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

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

Barrett, John W., Garcke, Harald und 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), S. 7-41.

Garcke, Harald, Lenz, Martin, Niethammer, Barbara, Rumpf, Martin und 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, S. 153-178. ISBN 3-540-35656-8; 978-3-540-35656-1.

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

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (Im Druck)

Garcke, Harald und 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, S. 87-112. ISBN 3-540-35656-8; 978-3-540-35656-1.

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

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

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

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

2005

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

Garcke, Harald, Ito, Kazuo und Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), S. 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, S. 43-77. ISBN 1-594-54317-8.

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

Garcke, Harald und Weikard, Ulrich (2005) Numerical Approximation of the Cahn-Larché Equation. Numerische Mathematik 100 (4), S. 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), S. 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.

Diese Liste wurde erzeugt am Tue Nov 19 00:06:57 2024 CET.
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