Harald Garcke
Orcid: 0000-0001-5235-2073
According to our database1,
Harald Garcke
authored at least 62 papers
between 1998 and 2024.
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Bibliography
2024
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow.
Comput. Math. Appl., February, 2024
2023
J. Sci. Comput., October, 2023
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies.
J. Nonlinear Sci., April, 2023
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches.
J. Comput. Phys., 2023
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions.
CoRR, 2023
Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions.
CoRR, 2023
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains.
CoRR, 2023
2022
A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media.
SIAM J. Control. Optim., August, 2022
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics.
SIAM J. Appl. Math., June, 2022
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces.
Numerische Mathematik, 2022
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport.
J. Num. Math., 2022
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations.
J. Comput. Phys., 2022
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters.
CoRR, 2022
2021
SIAM J. Control. Optim., 2021
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds.
Numerische Mathematik, 2021
2020
Weak Solutions of the Cahn-Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach.
SIAM J. Math. Anal., 2020
Structure preserving discretisations of gradient flows for axisymmetric two-phase biomembranes.
CoRR, 2020
2019
SIAM J. Numer. Anal., 2019
SIAM J. Math. Anal., 2019
Numerische Mathematik, 2019
J. Comput. Phys., 2019
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data.
CoRR, 2019
CoRR, 2019
2018
SIAM J. Imaging Sci., 2018
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints.
Adv. Comput. Math., 2018
2017
Math. Comput., 2017
Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes.
J. Sci. Comput., 2017
J. Comput. Phys., 2017
2016
IEEE Trans. Image Process., 2016
Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects.
SIAM J. Numer. Anal., 2016
SIAM J. Control. Optim., 2016
Numerische Mathematik, 2016
Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes.
J. Math. Imaging Vis., 2016
2015
Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids.
SIAM J. Sci. Comput., 2015
J. Sci. Comput., 2015
J. Comput. Phys., 2015
CoRR, 2015
2014
Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes.
SIAM J. Imaging Sci., 2014
2013
Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes.
CoRR, 2013
2012
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves.
Numerische Mathematik, 2012
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012
Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012
2010
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth.
J. Comput. Phys., 2010
2008
SIAM J. Sci. Comput., 2008
Nonlinear Stability of Stationary Solutions for Surface Diffusion with Boundary Conditions.
SIAM J. Math. Anal., 2008
A variational formulation of anisotropic geometric evolution equations in higher dimensions.
Numerische Mathematik, 2008
On the parametric finite element approximation of evolving hypersurfaces in R<sup>3</sup>.
J. Comput. Phys., 2008
2007
On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations.
SIAM J. Sci. Comput., 2007
J. Comput. Phys., 2007
2006
Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of A Coupled Degenerate System.
SIAM J. Math. Anal., 2006
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid.
Math. Comput., 2006
2005
Linearized Stability Analysis of Stationary Solutions for Surface Diffusion with Boundary Conditions.
SIAM J. Math. Anal., 2005
2004
SIAM J. Appl. Math., 2004
2003
SIAM J. Numer. Anal., 2003
2001
IEEE Trans. Vis. Comput. Graph., 2001
2000
Proceedings of the 11th IEEE Visualization Conference, 2000
1999
SIAM J. Numer. Anal., 1999
A MultiPhase Field Concept: Numerical Simulations of Moving Phase Boundaries and Multiple Junctions.
SIAM J. Appl. Math., 1999
1998
Finite element approximation of a fourth order nonlinear degenerate parabolic equation.
Numerische Mathematik, 1998