Harald Garcke - RankMe

99 papers A 1Journal 96

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A Parametric Finite Element Approach for an Anisotropic Multi-Phase Mullins-Sekerka Problem with Kinetic Undercooling. CoRR Tokuhiro Eto, Harald Garcke, Robert Nürnberg
2026	J	`jnl`	A Parametric Finite Element Method for a Degenerate Multi-Phase Stefan Problem with Triple Junctions. Comput. Methods Appl. Math. Tokuhiro Eto, Harald Garcke, Robert Nürnberg
2026	J	`jnl`	An Energy-Stable Minimal Deformation Rate Scheme for Mean Curvature Flow and Surface Diffusion. SIAM J. Sci. Comput. Guangwei Gao, Harald Garcke, Buyang Li, Rong Tang
2026	J	`jnl`	Convergence analysis for the Barrett-Garcke-Nürnberg method of transport type for evolving curves. Numerische Mathematik Genming Bai, Harald Garcke, Shravan K. Veerapaneni
2026	J	`jnl`	Stable fully practical finite element methods for axisymmetric Willmore flow. Comput. Math. Appl. Harald Garcke, Robert Nürnberg, Quan Zhao
2025	J	`jnl`	A convergent finite element method for two-phase Stokes flow driven by surface tension. CoRR Genming Bai, Harald Garcke, Shravan K. Veerapaneni
2025	J	`jnl`	A parametric finite element method for a degenerate multi-phase Stefan problem with triple junctions. CoRR Tokuhiro Eto, Harald Garcke, Robert Nürnberg
2025	J	`jnl`	A parametric finite element method for the incompressible Navier-Stokes equations on an evolving surface. CoRR Harald Garcke, Robert Nürnberg
2025	J	`jnl`	A variational front-tracking method for multiphase flow with triple junctions. Math. Comput. Harald Garcke, Robert Nürnberg, Quan Zhao
2025	J	`jnl`	An energy-stable minimal deformation rate scheme for mean curvature flow and surface diffusion. CoRR Guangwei Gao, Harald Garcke, Buyang Li, Rong Tang
2025	J	`jnl`	An energy-stable parametric finite element method for Willmore flow with normal-tangential velocity splitting. CoRR Harald Garcke, Robert Nürnberg, Quan Zhao
2025	J	`jnl`	Convergence analysis for the Barrett-Garcke-Nurnberg method of transport type. CoRR Genming Bai, Harald Garcke, Shravan K. Veerapaneni
2025	J	`jnl`	Error estimates for a surface finite element method for anisotropic mean curvature flow. CoRR Klaus Deckelnick, Harald Garcke, Balázs Kovács
2025	J	`jnl`	Isoparametric finite element methods for mean curvature flow and surface diffusion. CoRR Harald Garcke, Robert Nürnberg, Simon Praetorius, Ganghui Zhang
2025	J	`jnl`	Isoparametric finite element methods for mean curvature flow and surface diffusion. J. Comput. Phys. Harald Garcke, Robert Nürnberg, Simon Praetorius, Ganghui Zhang
2025	J	`jnl`	Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves. CoRR Harald Garcke, Robert Nürnberg, Quan Zhao
2025	J	`jnl`	Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves. J. Sci. Comput. Harald Garcke, Robert Nürnberg, Quan Zhao
2025	J	`jnl`	Stable fully practical finite element methods for axisymmetric Willmore flow. CoRR Harald Garcke, Robert Nürnberg, Quan Zhao
2025	J	`jnl`	Structure-Preserving Parametric Finite Element Method for Surface Diffusion Based on Lagrange Multiplier Approaches. SIAM J. Sci. Comput. Harald Garcke, Wei Jiang, Chunmei Su, Ganghui Zhang
2025	J	`jnl`	Structure-preserving parametric finite element methods for two-phase Stokes flow based on Lagrange multiplier approaches. CoRR Harald Garcke, Dennis Trautwein, Ganghui Zhang
2024	J	`jnl`	A finite element method for anisotropic crystal growth on surfaces. CoRR Harald Garcke, Robert Nürnberg
2024	J	`jnl`	A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions. Numerische Mathematik Tokuhiro Eto, Harald Garcke, Robert Nürnberg
2024	J	`jnl`	A variational front-tracking method for multiphase flow with triple junctions. CoRR Harald Garcke, Robert Nürnberg, Quan Zhao
2024	J	`jnl`	Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. Comput. Math. Appl. Harald Garcke, Robert Nürnberg, Quan Zhao
2024	J	`jnl`	Corrigendum to: Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. J. Num. Math. Harald Garcke, Dennis Trautwein
2024	J	`jnl`	Parametric finite element approximation of two-phase Navier-Stokes flow with viscoelasticity. CoRR Harald Garcke, Robert Nürnberg, Dennis Trautwein
2024	J	`jnl`	Structure-preserving parametric finite element method for curve diffusion based on Lagrange multiplier approaches. CoRR Harald Garcke, Wei Jiang, Chunmei Su, Ganghui Zhang
2023	J	`jnl`	A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains. CoRR Abramo Agosti, Pierluigi Colli, Harald Garcke, Elisabetta Rocca
2023	J	`jnl`	A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies. J. Nonlinear Sci. Harald Garcke, Patrik Knopf, Robert Nürnberg, Quan Zhao
2023	J	`jnl`	A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions. CoRR Tokuhiro Eto, Harald Garcke, Robert Nürnberg
2023	J	`jnl`	Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions. CoRR Harald Garcke, Dennis Trautwein
2023	J	`jnl`	Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. CoRR Harald Garcke, Robert Nürnberg, Quan Zhao
2023	J	`jnl`	Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. J. Comput. Phys. Harald Garcke, Robert Nürnberg, Quan Zhao
2023	J	`jnl`	Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow. J. Sci. Comput. Harald Garcke, Robert Nürnberg, Quan Zhao
2023	J	`jnl`	Unfitted finite element methods for axisymmetric two-phase flow. CoRR Harald Garcke, Robert Nürnberg, Quan Zhao
2022	J	`jnl`	A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics. SIAM J. Appl. Math. Philipp Werner, Martin Burger, Florian Frank, Harald Garcke
2022	J	`jnl`	A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media. SIAM J. Control. Optim. Harald Garcke, Sourav Mitra, Vanja Nikolic
2022	J	`jnl`	A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. CoRR Harald Garcke, Patrik Knopf, Robert Nürnberg, Quan Zhao
2022	J	`jnl`	A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. CoRR Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
2022	J	`jnl`	Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. J. Num. Math. Harald Garcke, Dennis Trautwein
2022	J	`jnl`	Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. CoRR Charles M. Elliott, Harald Garcke, Balázs Kovács
2022	J	`jnl`	Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik Charles M. Elliott, Harald Garcke, Balázs Kovács
2022	J	`jnl`	Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. CoRR Harald Garcke, Robert Nürnberg, Quan Zhao
2022	J	`jnl`	Viscoelastic Cahn-Hilliard models for tumour growth. CoRR Harald Garcke, Balázs Kovács, Dennis Trautwein
2022	J	`jnl`	Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. J. Comput. Phys. Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
2021	J	`jnl`	A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics. CoRR Philipp Werner, Martin Burger, Florian Frank, Harald Garcke
2021	J	`jnl`	Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. CoRR Harald Garcke, Dennis Trautwein
2021	J	`jnl`	Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. Numerische Mathematik Harald Garcke, Robert Nürnberg
2021	J	`jnl`	Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects. SIAM J. Control. Optim. Harald Garcke, Kei Fong Lam, Andrea Signori
2021	J	`jnl`	Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. CoRR Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
2020	J	`jnl`	Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. CoRR Harald Garcke, Robert Nürnberg
2020	J	`jnl`	Structure preserving discretisations of gradient flows for axisymmetric two-phase biomembranes. CoRR Harald Garcke, Robert Nürnberg
2020	J	`jnl`	Weak Solutions of the Cahn-Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach. SIAM J. Math. Anal. Harald Garcke, Patrik Knopf
2019	J	`jnl`	Finite element methods for fourth order axisymmetric geometric evolution equations. J. Comput. Phys. John W. Barrett, Harald Garcke, Robert Nürnberg
2019	J	`jnl`	Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. CoRR Abramo Agosti, Pasquale Ciarletta, Harald Garcke, Michael Hinze
2019	J	`jnl`	On a Cahn-Hilliard-Brinkman Model for Tumor Growth and Its Singular Limits. SIAM J. Math. Anal. Matthias Ebenbeck, Harald Garcke
2019	J	`jnl`	Stable Discretizations of Elastic Flow in Riemannian Manifolds. SIAM J. Numer. Anal. John W. Barrett, Harald Garcke, Robert Nürnberg
2019	J	`jnl`	Stable approximations for axisymmetric Willmore flow for closed and open surfaces. CoRR John W. Barrett, Harald Garcke, Robert Nürnberg
2019	J	`jnl`	Variational discretization of axisymmetric curvature flows. Numerische Mathematik John W. Barrett, Harald Garcke, Robert Nürnberg
2018	J	`jnl`	A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. Adv. Comput. Math. Harald Garcke, Michael Hinze, Christian Kahle, Kei Fong Lam
2018	J	`jnl`	Cahn-Hilliard Inpainting with the Double Obstacle Potential. SIAM J. Imaging Sci. Harald Garcke, Kei Fong Lam, Vanessa Styles
2018	J	`jnl`	Cahn-Hilliard inpainting with the double obstacle potential. CoRR Harald Garcke, Kei Fong Lam, Vanessa Styles
2017	J	`jnl`	A volume-of-fluid method for three-dimensional hexagonal solidification processes. J. Comput. Phys. Martin Reitzle, Corine Kieffer-Roth, Harald Garcke, Bernhard Weigand
2017	J	`jnl`	Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Math. Comput. John W. Barrett, Harald Garcke, Robert Nürnberg
2017	J	`jnl`	Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes. J. Sci. Comput. Heike Benninghoff, Harald Garcke
2016	J	`jnl`	A stable numerical method for the dynamics of fluidic membranes. Numerische Mathematik John W. Barrett, Harald Garcke, Robert Nürnberg
2016	J	`jnl`	Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects. SIAM J. Numer. Anal. John W. Barrett, Harald Garcke, Robert Nürnberg
2016	J	`jnl`	Image Segmentation Using Parametric Contours With Free Endpoints. IEEE Trans. Image Process. Heike Benninghoff, Harald Garcke
2016	J	`jnl`	Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes. J. Math. Imaging Vis. Heike Benninghoff, Harald Garcke
2016	J	`jnl`	Sharp Interface Limit for a Phase Field Model in Structural Optimization. SIAM J. Control. Optim. Luise Blank, Harald Garcke, Claudia Hecht, Christoph Rupprecht
2015	J	`jnl`	A Stable Parametric Finite Element Discretization of Two-Phase Navier-Stokes Flow. J. Sci. Comput. John W. Barrett, Harald Garcke, Robert Nürnberg
2015	J	`jnl`	Image Segmentation and Restoration Using Parametric Contours With Free Endpoints. CoRR Heike Benninghoff, Harald Garcke
2015	J	`jnl`	Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids. SIAM J. Sci. Comput. Harald Garcke, Claudia Hecht, Michael Hinze, Christian Kahle
2015	J	`jnl`	Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes. CoRR Heike Benninghoff, Harald Garcke
2015	J	`jnl`	Segmentation of Three-dimensional Images with Parametric Active Surfaces and Topology Changes. CoRR Heike Benninghoff, Harald Garcke
2015	J	`jnl`	Stable finite element approximations of two-phase flow with soluble surfactant. J. Comput. Phys. John W. Barrett, Harald Garcke, Robert Nürnberg
2014	J	`jnl`	Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes. SIAM J. Imaging Sci. Heike Benninghoff, Harald Garcke
2013	J	`jnl`	Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. CoRR Heike Benninghoff, Harald Garcke
2012	—	`ch.`	Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques. Constrained Optimization and Optimal Control for Partial Differential Equations Luise Blank, Martin Butz, Harald Garcke, Lavinia Sarbu, Vanessa Styles
2012	J	`jnl`	Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Numerische Mathematik John W. Barrett, Harald Garcke, Robert Nürnberg
2012	—	`ch.`	Phase-field Approaches to Structural Topology Optimization. Constrained Optimization and Optimal Control for Partial Differential Equations Luise Blank, Harald Garcke, Lavinia Sarbu, Tarin Srisupattarawanit, Vanessa Styles, Axel Voigt
2010	J	`jnl`	On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. John W. Barrett, Harald Garcke, Robert Nürnberg
2008	J	`jnl`	A variational formulation of anisotropic geometric evolution equations in higher dimensions. Numerische Mathematik John W. Barrett, Harald Garcke, Robert Nürnberg
2008	J	`jnl`	Nonlinear Stability of Stationary Solutions for Surface Diffusion with Boundary Conditions. SIAM J. Math. Anal. Harald Garcke, Kazuo Ito, Yoshihito Kohsaka
2008	J	`jnl`	On the parametric finite element approximation of evolving hypersurfaces in R J. Comput. Phys. John W. Barrett, Harald Garcke, Robert Nürnberg
2008	J	`jnl`	Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations. SIAM J. Sci. Comput. John W. Barrett, Harald Garcke, Robert Nürnberg
2007	J	`jnl`	A parametric finite element method for fourth order geometric evolution equations. J. Comput. Phys. John W. Barrett, Harald Garcke, Robert Nürnberg
2007	J	`jnl`	On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations. SIAM J. Sci. Comput. John W. Barrett, Harald Garcke, Robert Nürnberg
2006	J	`jnl`	Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Math. Comput. John W. Barrett, Harald Garcke, Robert Nürnberg
2006	J	`jnl`	Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of A Coupled Degenerate System. SIAM J. Math. Anal. Harald Garcke, Sandra Wieland
2005	J	`jnl`	Linearized Stability Analysis of Stationary Solutions for Surface Diffusion with Boundary Conditions. SIAM J. Math. Anal. Harald Garcke, Kazuo Ito, Yoshihito Kohsaka
2005	J	`jnl`	Numerical approximation of the Cahn-Larché equation. Numerische Mathematik Harald Garcke, Ulrich Weikard
2004	J	`jnl`	A Diffuse Interface Model for Alloys with Multiple Components and Phases. SIAM J. Appl. Math. Björn Stinner, Britta Nestler, Harald Garcke
2003	J	`jnl`	Finite Element Approximation of Surfactant Spreading on a Thin Film. SIAM J. Numer. Anal. John W. Barrett, Harald Garcke, Robert Nürnberg
2001	J	`jnl`	A Phase Field Model for Continuous Clustering on Vector Fields. IEEE Trans. Vis. Comput. Graph. Harald Garcke, Tobias Preußer, Martin Rumpf, Alexandru C. Telea, Ulrich Weikard, Jarke J. van Wijk
2000	A	`conf`	A continuous clustering method for vector fields. IEEE Visualization Harald Garcke, Tobias Preußer, Martin Rumpf, Alexandru C. Telea, Ulrich Weikard, Jarke J. van Wijk
1999	J	`jnl`	A MultiPhase Field Concept: Numerical Simulations of Moving Phase Boundaries and Multiple Junctions. SIAM J. Appl. Math. Harald Garcke, Britta Nestler, Barbara Stoth
1999	J	`jnl`	Finite Element Approximation of the Cahn-Hilliard Equation with Degenerate Mobility. SIAM J. Numer. Anal. John W. Barrett, James F. Blowey, Harald Garcke
1998	J	`jnl`	Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Numerische Mathematik John W. Barrett, James F. Blowey, Harald Garcke