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ORCIDHarald Garcke
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2020 – today
- 2024
[j50]Harald Garcke
, Robert Nürnberg, Quan Zhao:
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. Comput. Math. Appl. 155: 209-223 (2024)- [j49]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): 213- (2024) - [j48]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): 1479-1509 (2024) - [i26]Harald Garcke, Robert Nürnberg:
A finite element method for anisotropic crystal growth on surfaces. CoRR abs/2403.14206 (2024) - [i25]Harald Garcke, Robert Nürnberg, Dennis Trautwein:
Parametric finite element approximation of two-phase Navier-Stokes flow with viscoelasticity. CoRR abs/2406.13566 (2024) - [i24]Harald Garcke, Robert Nürnberg, Quan Zhao:
A variational front-tracking method for multiphase flow with triple junctions. CoRR abs/2407.18529 (2024) - [i23]Harald Garcke, Wei Jiang, Chunmei Su, Ganghui Zhang:
Structure-preserving parametric finite element method for curve diffusion based on Lagrange multiplier approaches. CoRR abs/2408.13443 (2024) - 2023
- [j47]Harald Garcke, Robert Nürnberg, Quan Zhao:
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. J. Comput. Phys. 489: 112276 (2023) - [j46]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): 34 (2023) - [j45]Harald Garcke, Robert Nürnberg, Quan Zhao:
Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow. J. Sci. Comput. 97(1): 14 (2023) - [i22]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 abs/2301.08341 (2023) - [i21]Harald Garcke, Robert Nürnberg, Quan Zhao:
Unfitted finite element methods for axisymmetric two-phase flow. CoRR abs/2303.03085 (2023) - [i20]Harald Garcke, Dennis Trautwein:
Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions. CoRR abs/2305.14915 (2023) - [i19]Harald Garcke, Robert Nürnberg, Quan Zhao:
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. CoRR abs/2305.19434 (2023) - [i18]Tokuhiro Eto, Harald Garcke, Robert Nürnberg:
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions. CoRR abs/2309.11948 (2023) - 2022
- [j44]Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao:
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. J. Comput. Phys. 460: 111180 (2022) - [j43]Harald Garcke, Dennis Trautwein:
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. J. Num. Math. 30(4): 295-324 (2022) - [j42]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): 873-925 (2022) - [j41]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): 1091-1112 (2022) - [j40]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): 2297-2319 (2022) - [i17]Charles M. Elliott, Harald Garcke, Balázs Kovács:
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. CoRR abs/2202.03302 (2022) - [i16]Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao:
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. CoRR abs/2202.06775 (2022) - [i15]Harald Garcke, Balázs Kovács, Dennis Trautwein:
Viscoelastic Cahn-Hilliard models for tumour growth. CoRR abs/2204.04147 (2022) - [i14]Harald Garcke, Patrik Knopf, Robert Nürnberg, Quan Zhao:
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. CoRR abs/2210.01698 (2022) - [i13]Harald Garcke, Robert Nürnberg, Quan Zhao:
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. CoRR abs/2212.08398 (2022) - 2021
- [j39]Harald Garcke, Robert Nürnberg:
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. Numerische Mathematik 149(2): 375-415 (2021) - [j38]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): 1555-1580 (2021) - [i12]Philipp Werner, Martin Burger, Florian Frank, Harald Garcke:
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics. CoRR abs/2107.06334 (2021) - [i11]Harald Garcke, Dennis Trautwein:
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. CoRR abs/2108.01507 (2021) - [i10]Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao:
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. CoRR abs/2111.13565 (2021) - 2020
- [j37]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): 340-369 (2020) - [i9]Harald Garcke, Robert Nürnberg:
Structure preserving discretisations of gradient flows for axisymmetric two-phase biomembranes. CoRR abs/2003.03127 (2020) - [i8]Harald Garcke, Robert Nürnberg:
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. CoRR abs/2012.02707 (2020)
2010 – 2019
- 2019
- [j36]John W. Barrett, Harald Garcke, Robert Nürnberg:
Finite element methods for fourth order axisymmetric geometric evolution equations. J. Comput. Phys. 376: 733-766 (2019) - [j35]John W. Barrett, Harald Garcke, Robert Nürnberg:
Variational discretization of axisymmetric curvature flows. Numerische Mathematik 141(3): 791-837 (2019) - [j34]Matthias Ebenbeck, Harald Garcke:
On a Cahn-Hilliard-Brinkman Model for Tumor Growth and Its Singular Limits. SIAM J. Math. Anal. 51(3): 1868-1912 (2019) - [j33]John W. Barrett, Harald Garcke, Robert Nürnberg:
Stable Discretizations of Elastic Flow in Riemannian Manifolds. SIAM J. Numer. Anal. 57(4): 1987-2018 (2019) - [i7]John W. Barrett, Harald Garcke, Robert Nürnberg:
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. CoRR abs/1911.01132 (2019) - [i6]Abramo Agosti, Pasquale Ciarletta, Harald Garcke, Michael Hinze:
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. CoRR abs/1912.08036 (2019) - 2018
- [j32]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): 1345-1383 (2018) - [j31]Harald Garcke, Kei Fong Lam, Vanessa Styles:
Cahn-Hilliard Inpainting with the Double Obstacle Potential. SIAM J. Imaging Sci. 11(3): 2064-2089 (2018) - [i5]Harald Garcke, Kei Fong Lam, Vanessa Styles:
Cahn-Hilliard inpainting with the double obstacle potential. CoRR abs/1801.05527 (2018) - 2017
- [j30]Martin Reitzle, Corine Kieffer-Roth, Harald Garcke, Bernhard Weigand:
A volume-of-fluid method for three-dimensional hexagonal solidification processes. J. Comput. Phys. 339: 356-369 (2017) - [j29]Heike Benninghoff, Harald Garcke:
Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes. J. Sci. Comput. 72(3): 1333-1367 (2017) - [j28]John W. Barrett, Harald Garcke, Robert Nürnberg:
Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Math. Comput. 86(305): 1037-1069 (2017) - 2016
- [j27]Heike Benninghoff, Harald Garcke:
Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes. J. Math. Imaging Vis. 55(1): 105-124 (2016) - [j26]John W. Barrett, Harald Garcke, Robert Nürnberg:
A stable numerical method for the dynamics of fluidic membranes. Numerische Mathematik 134(4): 783-822 (2016) - [j25]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): 1558-1584 (2016) - [j24]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): 1732-1762 (2016) - [j23]Heike Benninghoff, Harald Garcke:
Image Segmentation Using Parametric Contours With Free Endpoints. IEEE Trans. Image Process. 25(4): 1639-1648 (2016) - 2015
- [j22]John W. Barrett, Harald Garcke, Robert Nürnberg:
Stable finite element approximations of two-phase flow with soluble surfactant. J. Comput. Phys. 297: 530-564 (2015) - [j21]John W. Barrett, Harald Garcke, Robert Nürnberg:
A Stable Parametric Finite Element Discretization of Two-Phase Navier-Stokes Flow. J. Sci. Comput. 63(1): 78-117 (2015) - [j20]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) - [i4]Heike Benninghoff, Harald Garcke:
Image Segmentation and Restoration Using Parametric Contours With Free Endpoints. CoRR abs/1504.07259 (2015) - [i3]Heike Benninghoff, Harald Garcke:
Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes. CoRR abs/1505.00193 (2015) - [i2]Heike Benninghoff, Harald Garcke:
Segmentation of Three-dimensional Images with Parametric Active Surfaces and Topology Changes. CoRR abs/1506.07136 (2015) - 2014
- [j19]Heike Benninghoff, Harald Garcke:
Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes. SIAM J. Imaging Sci. 7(3): 1451-1483 (2014) - 2013
- [i1]Heike Benninghoff, Harald Garcke:
Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes. CoRR abs/1308.2292 (2013) - 2012
- [j18]John W. Barrett, Harald Garcke, Robert Nürnberg:
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Numerische Mathematik 120(3): 489-542 (2012) - [p2]Luise Blank, Martin Butz, Harald Garcke, Lavinia Sarbu, Vanessa Styles:
Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 21-35 - [p1]Luise Blank, Harald Garcke, Lavinia Sarbu, Tarin Srisupattarawanit, Vanessa Styles, Axel Voigt:
Phase-field Approaches to Structural Topology Optimization. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 245-256 - 2010
- [j17]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): 6270-6299 (2010)
2000 – 2009
- 2008
- [j16]John W. Barrett, Harald Garcke, Robert Nürnberg:
On the parametric finite element approximation of evolving hypersurfaces in R3. J. Comput. Phys. 227(9): 4281-4307 (2008) - [j15]John W. Barrett, Harald Garcke, Robert Nürnberg:
A variational formulation of anisotropic geometric evolution equations in higher dimensions. Numerische Mathematik 109(1): 1-44 (2008) - [j14]Harald Garcke, Kazuo Ito, Yoshihito Kohsaka:
Nonlinear Stability of Stationary Solutions for Surface Diffusion with Boundary Conditions. SIAM J. Math. Anal. 40(2): 491-515 (2008) - [j13]John W. Barrett, Harald Garcke, Robert Nürnberg:
Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations. SIAM J. Sci. Comput. 31(1): 225-253 (2008) - 2007
- [j12]John W. Barrett, Harald Garcke, Robert Nürnberg:
A parametric finite element method for fourth order geometric evolution equations. J. Comput. Phys. 222(1): 441-467 (2007) - [j11]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): 1006-1041 (2007) - 2006
- [j10]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): 7-41 (2006) - [j9]Harald Garcke, Sandra Wieland:
Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of A Coupled Degenerate System. SIAM J. Math. Anal. 37(6): 2025-2048 (2006) - 2005
- [j8]Harald Garcke, Ulrich Weikard:
Numerical approximation of the Cahn-Larché equation. Numerische Mathematik 100(4): 639-662 (2005) - [j7]Harald Garcke, Kazuo Ito, Yoshihito Kohsaka:
Linearized Stability Analysis of Stationary Solutions for Surface Diffusion with Boundary Conditions. SIAM J. Math. Anal. 36(4): 1031-1056 (2005) - 2004
- [j6]Björn Stinner, Britta Nestler, Harald Garcke:
A Diffuse Interface Model for Alloys with Multiple Components and Phases. SIAM J. Appl. Math. 64(3): 775-799 (2004) - 2003
- [j5]John W. Barrett, Harald Garcke, Robert Nürnberg:
Finite Element Approximation of Surfactant Spreading on a Thin Film. SIAM J. Numer. Anal. 41(4): 1427-1464 (2003) - 2001
- [j4]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): 230-241 (2001) - 2000
- [c1]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: 351-358
1990 – 1999
- 1999
- [j3]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): 295-315 (1999) - [j2]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): 286-318 (1999) - 1998
- [j1]John W. Barrett, James F. Blowey, Harald Garcke:
Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Numerische Mathematik 80(4): 525-556 (1998)
Coauthor Index
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