Harald Garcke

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 55

Top Topics

Riemannian Manifolds

Boundary Conditions

Top Venues

Numerische Mathematik

J. Comput. Phys.

J. Sci. Comput.

Publications

Harald Garcke, Robert Nürnberg, Dennis Trautwein
Parametric finite element approximation of two-phase Navier-Stokes flow with viscoelasticity. CoRR (2024)
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions. Numerische Mathematik 156 (4) (2024)
Harald Garcke, Dennis Trautwein
Corrigendum to: Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. J. Num. Math. 32 (2) (2024)
Harald Garcke, Robert Nürnberg, Quan Zhao
A variational front-tracking method for multiphase flow with triple junctions. CoRR (2024)
Harald Garcke, Robert Nürnberg
A finite element method for anisotropic crystal growth on surfaces. CoRR (2024)
Harald Garcke, Robert Nürnberg, Quan Zhao
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. Comput. Math. Appl. 155 (2024)
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions. CoRR (2023)
Harald Garcke, Robert Nürnberg, Quan Zhao
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. CoRR (2023)
Harald Garcke, Dennis Trautwein
Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions. CoRR (2023)
Harald Garcke, Patrik Knopf, Robert Nürnberg, Quan Zhao
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies. J. Nonlinear Sci. 33 (2) (2023)
Abramo Agosti, Pierluigi Colli, Harald Garcke, Elisabetta Rocca
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains. CoRR (2023)
Harald Garcke, Robert Nürnberg, Quan Zhao
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. J. Comput. Phys. 489 (2023)
Harald Garcke, Robert Nürnberg, Quan Zhao
Unfitted finite element methods for axisymmetric two-phase flow. CoRR (2023)
Harald Garcke, Robert Nürnberg, Quan Zhao
Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow. J. Sci. Comput. 97 (1) (2023)
Harald Garcke, Dennis Trautwein
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. J. Num. Math. 30 (4) (2022)
Charles M. Elliott, Harald Garcke, Balázs Kovács
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik 151 (4) (2022)
Harald Garcke, Sourav Mitra, Vanja Nikolic
A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media. SIAM J. Control. Optim. 60 (4) (2022)
Philipp Werner, Martin Burger, Florian Frank, Harald Garcke
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics. SIAM J. Appl. Math. 82 (3) (2022)
Charles M. Elliott, Harald Garcke, Balázs Kovács
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. CoRR (2022)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. CoRR (2022)
Harald Garcke, Robert Nürnberg, Quan Zhao
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. CoRR (2022)
Harald Garcke, Balázs Kovács, Dennis Trautwein
Viscoelastic Cahn-Hilliard models for tumour growth. CoRR (2022)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. J. Comput. Phys. 460 (2022)
Harald Garcke, Patrik Knopf, Robert Nürnberg, Quan Zhao
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. CoRR (2022)
Harald Garcke, Dennis Trautwein
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. CoRR (2021)
Philipp Werner, Martin Burger, Florian Frank, Harald Garcke
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics. CoRR (2021)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. CoRR (2021)
Harald Garcke, Kei Fong Lam, Andrea Signori
Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects. SIAM J. Control. Optim. 59 (2) (2021)
Harald Garcke, Robert Nürnberg
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. Numerische Mathematik 149 (2) (2021)
Harald Garcke, Patrik Knopf
Weak Solutions of the Cahn-Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach. SIAM J. Math. Anal. 52 (1) (2020)
Harald Garcke, Robert Nürnberg
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. CoRR (2020)
Harald Garcke, Robert Nürnberg
Structure preserving discretisations of gradient flows for axisymmetric two-phase biomembranes. CoRR (2020)
Matthias Ebenbeck, Harald Garcke
On a Cahn-Hilliard-Brinkman Model for Tumor Growth and Its Singular Limits. SIAM J. Math. Anal. 51 (3) (2019)
John W. Barrett, Harald Garcke, Robert Nürnberg
Stable Discretizations of Elastic Flow in Riemannian Manifolds. SIAM J. Numer. Anal. 57 (4) (2019)
John W. Barrett, Harald Garcke, Robert Nürnberg
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. CoRR (2019)
John W. Barrett, Harald Garcke, Robert Nürnberg
Finite element methods for fourth order axisymmetric geometric evolution equations. J. Comput. Phys. 376 (2019)
John W. Barrett, Harald Garcke, Robert Nürnberg
Variational discretization of axisymmetric curvature flows. Numerische Mathematik 141 (3) (2019)
Abramo Agosti, Pasquale Ciarletta, Harald Garcke, Michael Hinze
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. CoRR (2019)
Harald Garcke, Kei Fong Lam, Vanessa Styles
Cahn-Hilliard Inpainting with the Double Obstacle Potential. SIAM J. Imaging Sci. 11 (3) (2018)
Harald Garcke, Kei Fong Lam, Vanessa Styles
Cahn-Hilliard inpainting with the double obstacle potential. CoRR (2018)
Harald Garcke, Michael Hinze, Christian Kahle, Kei Fong Lam
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. Adv. Comput. Math. 44 (5) (2018)
John W. Barrett, Harald Garcke, Robert Nürnberg
Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Math. Comput. 86 (305) (2017)
Heike Benninghoff, Harald Garcke
Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes. J. Sci. Comput. 72 (3) (2017)
Martin Reitzle, Corine Kieffer-Roth, Harald Garcke, Bernhard Weigand
A volume-of-fluid method for three-dimensional hexagonal solidification processes. J. Comput. Phys. 339 (2017)
John W. Barrett, Harald Garcke, Robert Nürnberg
A stable numerical method for the dynamics of fluidic membranes. Numerische Mathematik 134 (4) (2016)
John W. Barrett, Harald Garcke, Robert Nürnberg
Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects. SIAM J. Numer. Anal. 54 (3) (2016)
Heike Benninghoff, Harald Garcke
Image Segmentation Using Parametric Contours With Free Endpoints. IEEE Trans. Image Process. 25 (4) (2016)
Luise Blank, Harald Garcke, Claudia Hecht, Christoph Rupprecht
Sharp Interface Limit for a Phase Field Model in Structural Optimization. SIAM J. Control. Optim. 54 (3) (2016)
Heike Benninghoff, Harald Garcke
Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes. J. Math. Imaging Vis. 55 (1) (2016)
John W. Barrett, Harald Garcke, Robert Nürnberg
A Stable Parametric Finite Element Discretization of Two-Phase Navier-Stokes Flow. J. Sci. Comput. 63 (1) (2015)
Harald Garcke, Claudia Hecht, Michael Hinze, Christian Kahle
Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids. SIAM J. Sci. Comput. 37 (4) (2015)
Heike Benninghoff, Harald Garcke
Image Segmentation and Restoration Using Parametric Contours With Free Endpoints. CoRR (2015)
Heike Benninghoff, Harald Garcke
Segmentation of Three-dimensional Images with Parametric Active Surfaces and Topology Changes. CoRR (2015)
John W. Barrett, Harald Garcke, Robert Nürnberg
Stable finite element approximations of two-phase flow with soluble surfactant. J. Comput. Phys. 297 (2015)
Heike Benninghoff, Harald Garcke
Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes. CoRR (2015)
Heike Benninghoff, Harald Garcke
Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes. SIAM J. Imaging Sci. 7 (3) (2014)
Heike Benninghoff, Harald Garcke
Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. CoRR (2013)
John W. Barrett, Harald Garcke, Robert Nürnberg
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Numerische Mathematik 120 (3) (2012)
John W. Barrett, Harald Garcke, Robert Nürnberg
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229 (18) (2010)
John W. Barrett, Harald Garcke, Robert Nürnberg
A variational formulation of anisotropic geometric evolution equations in higher dimensions. Numerische Mathematik 109 (1) (2008)
John W. Barrett, Harald Garcke, Robert Nürnberg
Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations. SIAM J. Sci. Comput. 31 (1) (2008)
John W. Barrett, Harald Garcke, Robert Nürnberg
. J. Comput. Phys. 227 (9) (2008)
Harald Garcke, Kazuo Ito, Yoshihito Kohsaka
Nonlinear Stability of Stationary Solutions for Surface Diffusion with Boundary Conditions. SIAM J. Math. Anal. 40 (2) (2008)
John W. Barrett, Harald Garcke, Robert Nürnberg
A parametric finite element method for fourth order geometric evolution equations. J. Comput. Phys. 222 (1) (2007)
John W. Barrett, Harald Garcke, Robert Nürnberg
On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations. SIAM J. Sci. Comput. 29 (3) (2007)
John W. Barrett, Harald Garcke, Robert Nürnberg
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Math. Comput. 75 (253) (2006)
Harald Garcke, Sandra Wieland
Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of A Coupled Degenerate System. SIAM J. Math. Anal. 37 (6) (2006)
Harald Garcke, Ulrich Weikard
Numerical approximation of the Cahn-Larché equation. Numerische Mathematik 100 (4) (2005)
Harald Garcke, Kazuo Ito, Yoshihito Kohsaka
Linearized Stability Analysis of Stationary Solutions for Surface Diffusion with Boundary Conditions. SIAM J. Math. Anal. 36 (4) (2005)
Björn Stinner, Britta Nestler, Harald Garcke
A Diffuse Interface Model for Alloys with Multiple Components and Phases. SIAM J. Appl. Math. 64 (3) (2004)
John W. Barrett, Harald Garcke, Robert Nürnberg
Finite Element Approximation of Surfactant Spreading on a Thin Film. SIAM J. Numer. Anal. 41 (4) (2003)
Harald Garcke, Tobias Preußer, Martin Rumpf, Alexandru C. Telea, Ulrich Weikard, Jarke J. van Wijk
A Phase Field Model for Continuous Clustering on Vector Fields. IEEE Trans. Vis. Comput. Graph. 7 (3) (2001)
Harald Garcke, Tobias Preußer, Martin Rumpf, Alexandru C. Telea, Ulrich Weikard, Jarke J. van Wijk
A continuous clustering method for vector fields. IEEE Visualization (2000)
Harald Garcke, Britta Nestler, Barbara Stoth
A MultiPhase Field Concept: Numerical Simulations of Moving Phase Boundaries and Multiple Junctions. SIAM J. Appl. Math. 60 (1) (1999)
John W. Barrett, James F. Blowey, Harald Garcke
Finite Element Approximation of the Cahn-Hilliard Equation with Degenerate Mobility. SIAM J. Numer. Anal. 37 (1) (1999)
John W. Barrett, James F. Blowey, Harald Garcke
Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Numerische Mathematik 80 (4) (1998)