BibTeX records: Harald Garcke

download as .bib file

@article{DBLP:journals/cma/GarckeNZ24,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric
                  two-phase flow},
  journal      = {Comput. Math. Appl.},
  volume       = {155},
  pages        = {209--223},
  year         = {2024},
  url          = {https://doi.org/10.1016/j.camwa.2023.12.013},
  doi          = {10.1016/J.CAMWA.2023.12.013},
  timestamp    = {Sat, 10 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/GarckeNZ24.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jnma/GarckeT24,
  author       = {Harald Garcke and
                  Dennis Trautwein},
  title        = {Corrigendum to: Numerical analysis for a Cahn-Hilliard system modelling
                  tumour growth with chemotaxis and active transport},
  journal      = {J. Num. Math.},
  volume       = {32},
  number       = {2},
  pages        = {213},
  year         = {2024},
  url          = {https://doi.org/10.1515/jnma-2024-0035},
  doi          = {10.1515/JNMA-2024-0035},
  timestamp    = {Tue, 09 Jul 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jnma/GarckeT24.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/EtoGN24,
  author       = {Tokuhiro Eto and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {A structure-preserving finite element method for the multi-phase Mullins-Sekerka
                  problem with triple junctions},
  journal      = {Numerische Mathematik},
  volume       = {156},
  number       = {4},
  pages        = {1479--1509},
  year         = {2024},
  url          = {https://doi.org/10.1007/s00211-024-01414-x},
  doi          = {10.1007/S00211-024-01414-X},
  timestamp    = {Sun, 04 Aug 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/EtoGN24.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-14206,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {A finite element method for anisotropic crystal growth on surfaces},
  journal      = {CoRR},
  volume       = {abs/2403.14206},
  year         = {2024},
  url          = {https://doi.org/10.48550/arXiv.2403.14206},
  doi          = {10.48550/ARXIV.2403.14206},
  eprinttype    = {arXiv},
  eprint       = {2403.14206},
  timestamp    = {Tue, 09 Apr 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2403-14206.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2406-13566,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Dennis Trautwein},
  title        = {Parametric finite element approximation of two-phase Navier-Stokes
                  flow with viscoelasticity},
  journal      = {CoRR},
  volume       = {abs/2406.13566},
  year         = {2024},
  url          = {https://doi.org/10.48550/arXiv.2406.13566},
  doi          = {10.48550/ARXIV.2406.13566},
  eprinttype    = {arXiv},
  eprint       = {2406.13566},
  timestamp    = {Fri, 12 Jul 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2406-13566.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2407-18529,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {A variational front-tracking method for multiphase flow with triple
                  junctions},
  journal      = {CoRR},
  volume       = {abs/2407.18529},
  year         = {2024},
  url          = {https://doi.org/10.48550/arXiv.2407.18529},
  doi          = {10.48550/ARXIV.2407.18529},
  eprinttype    = {arXiv},
  eprint       = {2407.18529},
  timestamp    = {Sat, 24 Aug 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2407-18529.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/GarckeNZ23,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {Structure-preserving discretizations of two-phase Navier-Stokes flow
                  using fitted and unfitted approaches},
  journal      = {J. Comput. Phys.},
  volume       = {489},
  pages        = {112276},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.jcp.2023.112276},
  doi          = {10.1016/J.JCP.2023.112276},
  timestamp    = {Mon, 05 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcphy/GarckeNZ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jns/GarckeKNZ23,
  author       = {Harald Garcke and
                  Patrik Knopf and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic
                  Surface Energies},
  journal      = {J. Nonlinear Sci.},
  volume       = {33},
  number       = {2},
  pages        = {34},
  year         = {2023},
  url          = {https://doi.org/10.1007/s00332-023-09889-y},
  doi          = {10.1007/S00332-023-09889-Y},
  timestamp    = {Mon, 05 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jns/GarckeKNZ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GarckeNZ23,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow},
  journal      = {J. Sci. Comput.},
  volume       = {97},
  number       = {1},
  pages        = {14},
  year         = {2023},
  url          = {https://doi.org/10.1007/s10915-023-02325-z},
  doi          = {10.1007/S10915-023-02325-Z},
  timestamp    = {Sun, 24 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/GarckeNZ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2301-08341,
  author       = {Abramo Agosti and
                  Pierluigi Colli and
                  Harald Garcke and
                  Elisabetta Rocca},
  title        = {A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of
                  viscoelasticity at large strains},
  journal      = {CoRR},
  volume       = {abs/2301.08341},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2301.08341},
  doi          = {10.48550/ARXIV.2301.08341},
  eprinttype    = {arXiv},
  eprint       = {2301.08341},
  timestamp    = {Fri, 27 Jan 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2301-08341.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2303-03085,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {Unfitted finite element methods for axisymmetric two-phase flow},
  journal      = {CoRR},
  volume       = {abs/2303.03085},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2303.03085},
  doi          = {10.48550/ARXIV.2303.03085},
  eprinttype    = {arXiv},
  eprint       = {2303.03085},
  timestamp    = {Tue, 14 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2303-03085.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-14915,
  author       = {Harald Garcke and
                  Dennis Trautwein},
  title        = {Approximation and existence of a viscoelastic phase-field model for
                  tumour growth in two and three dimensions},
  journal      = {CoRR},
  volume       = {abs/2305.14915},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2305.14915},
  doi          = {10.48550/ARXIV.2305.14915},
  eprinttype    = {arXiv},
  eprint       = {2305.14915},
  timestamp    = {Tue, 06 Jun 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2305-14915.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-19434,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric
                  two-phase flow},
  journal      = {CoRR},
  volume       = {abs/2305.19434},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2305.19434},
  doi          = {10.48550/ARXIV.2305.19434},
  eprinttype    = {arXiv},
  eprint       = {2305.19434},
  timestamp    = {Wed, 07 Jun 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2305-19434.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2309-11948,
  author       = {Tokuhiro Eto and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {A structure-preserving finite element method for the multi-phase Mullins-Sekerka
                  problem with triple junctions},
  journal      = {CoRR},
  volume       = {abs/2309.11948},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2309.11948},
  doi          = {10.48550/ARXIV.2309.11948},
  eprinttype    = {arXiv},
  eprint       = {2309.11948},
  timestamp    = {Mon, 25 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2309-11948.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BaoGNZ22,
  author       = {Weizhu Bao and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {Volume-preserving parametric finite element methods for axisymmetric
                  geometric evolution equations},
  journal      = {J. Comput. Phys.},
  volume       = {460},
  pages        = {111180},
  year         = {2022},
  url          = {https://doi.org/10.1016/j.jcp.2022.111180},
  doi          = {10.1016/J.JCP.2022.111180},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcphy/BaoGNZ22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jnma/GarckeT22,
  author       = {Harald Garcke and
                  Dennis Trautwein},
  title        = {Numerical analysis for a Cahn-Hilliard system modelling tumour growth
                  with chemotaxis and active transport},
  journal      = {J. Num. Math.},
  volume       = {30},
  number       = {4},
  pages        = {295--324},
  year         = {2022},
  url          = {https://doi.org/10.1515/jnma-2021-0094},
  doi          = {10.1515/JNMA-2021-0094},
  timestamp    = {Mon, 19 Dec 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jnma/GarckeT22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/ElliottGK22,
  author       = {Charles M. Elliott and
                  Harald Garcke and
                  Bal{\'{a}}zs Kov{\'{a}}cs},
  title        = {Numerical analysis for the interaction of mean curvature flow and
                  diffusion on closed surfaces},
  journal      = {Numerische Mathematik},
  volume       = {151},
  number       = {4},
  pages        = {873--925},
  year         = {2022},
  url          = {https://doi.org/10.1007/s00211-022-01301-3},
  doi          = {10.1007/S00211-022-01301-3},
  timestamp    = {Wed, 27 Jul 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/ElliottGK22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamam/WernerBFG22,
  author       = {Philipp Werner and
                  Martin Burger and
                  Florian Frank and
                  Harald Garcke},
  title        = {A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex
                  Coupling with Linker Dynamics},
  journal      = {{SIAM} J. Appl. Math.},
  volume       = {82},
  number       = {3},
  pages        = {1091--1112},
  year         = {2022},
  url          = {https://doi.org/10.1137/21m1433642},
  doi          = {10.1137/21M1433642},
  timestamp    = {Fri, 18 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamam/WernerBFG22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamco/GarckeMN22,
  author       = {Harald Garcke and
                  Sourav Mitra and
                  Vanja Nikolic},
  title        = {A Phase-Field Approach to Shape and Topology Optimization of Acoustic
                  Waves in Dissipative Media},
  journal      = {{SIAM} J. Control. Optim.},
  volume       = {60},
  number       = {4},
  pages        = {2297--2319},
  year         = {2022},
  url          = {https://doi.org/10.1137/21m1449294},
  doi          = {10.1137/21M1449294},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamco/GarckeMN22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-03302,
  author       = {Charles M. Elliott and
                  Harald Garcke and
                  Bal{\'{a}}zs Kov{\'{a}}cs},
  title        = {Numerical analysis for the interaction of mean curvature flow and
                  diffusion on closed surfaces},
  journal      = {CoRR},
  volume       = {abs/2202.03302},
  year         = {2022},
  url          = {https://arxiv.org/abs/2202.03302},
  eprinttype    = {arXiv},
  eprint       = {2202.03302},
  timestamp    = {Wed, 09 Feb 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2202-03302.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-06775,
  author       = {Weizhu Bao and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {A structure-preserving finite element approximation of surface diffusion
                  for curve networks and surface clusters},
  journal      = {CoRR},
  volume       = {abs/2202.06775},
  year         = {2022},
  url          = {https://arxiv.org/abs/2202.06775},
  eprinttype    = {arXiv},
  eprint       = {2202.06775},
  timestamp    = {Fri, 18 Feb 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2202-06775.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2204-04147,
  author       = {Harald Garcke and
                  Bal{\'{a}}zs Kov{\'{a}}cs and
                  Dennis Trautwein},
  title        = {Viscoelastic Cahn-Hilliard models for tumour growth},
  journal      = {CoRR},
  volume       = {abs/2204.04147},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2204.04147},
  doi          = {10.48550/ARXIV.2204.04147},
  eprinttype    = {arXiv},
  eprint       = {2204.04147},
  timestamp    = {Wed, 13 Apr 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2204-04147.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2210-01698,
  author       = {Harald Garcke and
                  Patrik Knopf and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {A diffuse-interface approach for solid-state dewetting with anisotropic
                  surface energies},
  journal      = {CoRR},
  volume       = {abs/2210.01698},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2210.01698},
  doi          = {10.48550/ARXIV.2210.01698},
  eprinttype    = {arXiv},
  eprint       = {2210.01698},
  timestamp    = {Fri, 07 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2210-01698.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2212-08398,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {Structure-preserving discretizations of two-phase Navier-Stokes flow
                  using fitted and unfitted approaches},
  journal      = {CoRR},
  volume       = {abs/2212.08398},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2212.08398},
  doi          = {10.48550/ARXIV.2212.08398},
  eprinttype    = {arXiv},
  eprint       = {2212.08398},
  timestamp    = {Mon, 02 Jan 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2212-08398.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/GarckeN21,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Numerical approximation of boundary value problems for curvature flow
                  and elastic flow in Riemannian manifolds},
  journal      = {Numerische Mathematik},
  volume       = {149},
  number       = {2},
  pages        = {375--415},
  year         = {2021},
  url          = {https://doi.org/10.1007/s00211-021-01231-6},
  doi          = {10.1007/S00211-021-01231-6},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/GarckeN21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamco/GarckeLS21,
  author       = {Harald Garcke and
                  Kei Fong Lam and
                  Andrea Signori},
  title        = {Sparse Optimal Control of a Phase Field Tumor Model with Mechanical
                  Effects},
  journal      = {{SIAM} J. Control. Optim.},
  volume       = {59},
  number       = {2},
  pages        = {1555--1580},
  year         = {2021},
  url          = {https://doi.org/10.1137/20M1372093},
  doi          = {10.1137/20M1372093},
  timestamp    = {Thu, 14 Oct 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamco/GarckeLS21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2107-06334,
  author       = {Philipp Werner and
                  Martin Burger and
                  Florian Frank and
                  Harald Garcke},
  title        = {A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex
                  Coupling with Linker Dynamics},
  journal      = {CoRR},
  volume       = {abs/2107.06334},
  year         = {2021},
  url          = {https://arxiv.org/abs/2107.06334},
  eprinttype    = {arXiv},
  eprint       = {2107.06334},
  timestamp    = {Tue, 27 Jul 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2107-06334.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2108-01507,
  author       = {Harald Garcke and
                  Dennis Trautwein},
  title        = {Numerical analysis for a Cahn-Hilliard system modelling tumour growth
                  with chemotaxis and active transport},
  journal      = {CoRR},
  volume       = {abs/2108.01507},
  year         = {2021},
  url          = {https://arxiv.org/abs/2108.01507},
  eprinttype    = {arXiv},
  eprint       = {2108.01507},
  timestamp    = {Thu, 05 Aug 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2108-01507.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2111-13565,
  author       = {Weizhu Bao and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg and
                  Quan Zhao},
  title        = {Volume-preserving parametric finite element methods for axisymmetric
                  geometric evolution equations},
  journal      = {CoRR},
  volume       = {abs/2111.13565},
  year         = {2021},
  url          = {https://arxiv.org/abs/2111.13565},
  eprinttype    = {arXiv},
  eprint       = {2111.13565},
  timestamp    = {Wed, 01 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2111-13565.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/GarckeK20,
  author       = {Harald Garcke and
                  Patrik Knopf},
  title        = {Weak Solutions of the Cahn-Hilliard System with Dynamic Boundary Conditions:
                  {A} Gradient Flow Approach},
  journal      = {{SIAM} J. Math. Anal.},
  volume       = {52},
  number       = {1},
  pages        = {340--369},
  year         = {2020},
  url          = {https://doi.org/10.1137/19M1258840},
  doi          = {10.1137/19M1258840},
  timestamp    = {Fri, 03 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamma/GarckeK20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-03127,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Structure preserving discretisations of gradient flows for axisymmetric
                  two-phase biomembranes},
  journal      = {CoRR},
  volume       = {abs/2003.03127},
  year         = {2020},
  url          = {https://arxiv.org/abs/2003.03127},
  eprinttype    = {arXiv},
  eprint       = {2003.03127},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2003-03127.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2012-02707,
  author       = {Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Numerical approximation of boundary value problems for curvature flow
                  and elastic flow in Riemannian manifolds},
  journal      = {CoRR},
  volume       = {abs/2012.02707},
  year         = {2020},
  url          = {https://arxiv.org/abs/2012.02707},
  eprinttype    = {arXiv},
  eprint       = {2012.02707},
  timestamp    = {Wed, 09 Dec 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2012-02707.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BarrettGN19,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Finite element methods for fourth order axisymmetric geometric evolution
                  equations},
  journal      = {J. Comput. Phys.},
  volume       = {376},
  pages        = {733--766},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.jcp.2018.10.006},
  doi          = {10.1016/J.JCP.2018.10.006},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcphy/BarrettGN19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/BarrettGN19,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Variational discretization of axisymmetric curvature flows},
  journal      = {Numerische Mathematik},
  volume       = {141},
  number       = {3},
  pages        = {791--837},
  year         = {2019},
  url          = {https://doi.org/10.1007/s00211-018-1013-z},
  doi          = {10.1007/S00211-018-1013-Z},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/BarrettGN19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/EbenbeckG19,
  author       = {Matthias Ebenbeck and
                  Harald Garcke},
  title        = {On a Cahn-Hilliard-Brinkman Model for Tumor Growth and Its Singular
                  Limits},
  journal      = {{SIAM} J. Math. Anal.},
  volume       = {51},
  number       = {3},
  pages        = {1868--1912},
  year         = {2019},
  url          = {https://doi.org/10.1137/18M1228104},
  doi          = {10.1137/18M1228104},
  timestamp    = {Fri, 03 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamma/EbenbeckG19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/0001GN19,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Stable Discretizations of Elastic Flow in Riemannian Manifolds},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {57},
  number       = {4},
  pages        = {1987--2018},
  year         = {2019},
  url          = {https://doi.org/10.1137/18M1227111},
  doi          = {10.1137/18M1227111},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/0001GN19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-01132,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Stable approximations for axisymmetric Willmore flow for closed and
                  open surfaces},
  journal      = {CoRR},
  volume       = {abs/1911.01132},
  year         = {2019},
  url          = {http://arxiv.org/abs/1911.01132},
  eprinttype    = {arXiv},
  eprint       = {1911.01132},
  timestamp    = {Mon, 11 Nov 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1911-01132.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1912-08036,
  author       = {Abramo Agosti and
                  Pasquale Ciarletta and
                  Harald Garcke and
                  Michael Hinze},
  title        = {Learning patient-specific parameters for a diffuse interface glioblastoma
                  model from neuroimaging data},
  journal      = {CoRR},
  volume       = {abs/1912.08036},
  year         = {2019},
  url          = {http://arxiv.org/abs/1912.08036},
  eprinttype    = {arXiv},
  eprint       = {1912.08036},
  timestamp    = {Sat, 23 Jan 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1912-08036.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/GarckeHKL18,
  author       = {Harald Garcke and
                  Michael Hinze and
                  Christian Kahle and
                  Kei Fong Lam},
  title        = {A phase field approach to shape optimization in Navier-Stokes flow
                  with integral state constraints},
  journal      = {Adv. Comput. Math.},
  volume       = {44},
  number       = {5},
  pages        = {1345--1383},
  year         = {2018},
  url          = {https://doi.org/10.1007/s10444-018-9586-8},
  doi          = {10.1007/S10444-018-9586-8},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/adcm/GarckeHKL18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamis/GarckeLS18,
  author       = {Harald Garcke and
                  Kei Fong Lam and
                  Vanessa Styles},
  title        = {Cahn-Hilliard Inpainting with the Double Obstacle Potential},
  journal      = {{SIAM} J. Imaging Sci.},
  volume       = {11},
  number       = {3},
  pages        = {2064--2089},
  year         = {2018},
  url          = {https://doi.org/10.1137/18M1165633},
  doi          = {10.1137/18M1165633},
  timestamp    = {Tue, 14 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamis/GarckeLS18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1801-05527,
  author       = {Harald Garcke and
                  Kei Fong Lam and
                  Vanessa Styles},
  title        = {Cahn-Hilliard inpainting with the double obstacle potential},
  journal      = {CoRR},
  volume       = {abs/1801.05527},
  year         = {2018},
  url          = {http://arxiv.org/abs/1801.05527},
  eprinttype    = {arXiv},
  eprint       = {1801.05527},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1801-05527.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ReitzleKGW17,
  author       = {Martin Reitzle and
                  Corine Kieffer{-}Roth and
                  Harald Garcke and
                  Bernhard Weigand},
  title        = {A volume-of-fluid method for three-dimensional hexagonal solidification
                  processes},
  journal      = {J. Comput. Phys.},
  volume       = {339},
  pages        = {356--369},
  year         = {2017},
  url          = {https://doi.org/10.1016/j.jcp.2017.03.001},
  doi          = {10.1016/J.JCP.2017.03.001},
  timestamp    = {Wed, 19 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcphy/ReitzleKGW17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BenninghoffG17,
  author       = {Heike Benninghoff and
                  Harald Garcke},
  title        = {Segmentation of Three-Dimensional Images with Parametric Active Surfaces
                  and Topology Changes},
  journal      = {J. Sci. Comput.},
  volume       = {72},
  number       = {3},
  pages        = {1333--1367},
  year         = {2017},
  url          = {https://doi.org/10.1007/s10915-017-0401-3},
  doi          = {10.1007/S10915-017-0401-3},
  timestamp    = {Sun, 22 Oct 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/BenninghoffG17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/BarrettGN17,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Finite element approximation for the dynamics of asymmetric fluidic
                  biomembranes},
  journal      = {Math. Comput.},
  volume       = {86},
  number       = {305},
  pages        = {1037--1069},
  year         = {2017},
  url          = {https://doi.org/10.1090/mcom/3162},
  doi          = {10.1090/MCOM/3162},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/moc/BarrettGN17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmiv/BenninghoffG16,
  author       = {Heike Benninghoff and
                  Harald Garcke},
  title        = {Segmentation and Restoration of Images on Surfaces by Parametric Active
                  Contours with Topology Changes},
  journal      = {J. Math. Imaging Vis.},
  volume       = {55},
  number       = {1},
  pages        = {105--124},
  year         = {2016},
  url          = {https://doi.org/10.1007/s10851-015-0616-6},
  doi          = {10.1007/S10851-015-0616-6},
  timestamp    = {Tue, 16 Aug 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jmiv/BenninghoffG16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/BarrettGN16,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {A stable numerical method for the dynamics of fluidic membranes},
  journal      = {Numerische Mathematik},
  volume       = {134},
  number       = {4},
  pages        = {783--822},
  year         = {2016},
  url          = {https://doi.org/10.1007/s00211-015-0787-5},
  doi          = {10.1007/S00211-015-0787-5},
  timestamp    = {Thu, 14 Oct 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/BarrettGN16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamco/BlankGHR16,
  author       = {Luise Blank and
                  Harald Garcke and
                  Claudia Hecht and
                  Christoph Rupprecht},
  title        = {Sharp Interface Limit for a Phase Field Model in Structural Optimization},
  journal      = {{SIAM} J. Control. Optim.},
  volume       = {54},
  number       = {3},
  pages        = {1558--1584},
  year         = {2016},
  url          = {https://doi.org/10.1137/140989066},
  doi          = {10.1137/140989066},
  timestamp    = {Thu, 09 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamco/BlankGHR16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BarrettGN16,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Computational Parametric Willmore Flow with Spontaneous Curvature
                  and Area Difference Elasticity Effects},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {54},
  number       = {3},
  pages        = {1732--1762},
  year         = {2016},
  url          = {https://doi.org/10.1137/16M1065379},
  doi          = {10.1137/16M1065379},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/BarrettGN16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tip/BenninghoffG16,
  author       = {Heike Benninghoff and
                  Harald Garcke},
  title        = {Image Segmentation Using Parametric Contours With Free Endpoints},
  journal      = {{IEEE} Trans. Image Process.},
  volume       = {25},
  number       = {4},
  pages        = {1639--1648},
  year         = {2016},
  url          = {https://doi.org/10.1109/TIP.2016.2529180},
  doi          = {10.1109/TIP.2016.2529180},
  timestamp    = {Sat, 30 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tip/BenninghoffG16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BarrettGN15,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Stable finite element approximations of two-phase flow with soluble
                  surfactant},
  journal      = {J. Comput. Phys.},
  volume       = {297},
  pages        = {530--564},
  year         = {2015},
  url          = {https://doi.org/10.1016/j.jcp.2015.05.029},
  doi          = {10.1016/J.JCP.2015.05.029},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcphy/BarrettGN15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BarrettGN15,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {A Stable Parametric Finite Element Discretization of Two-Phase Navier-Stokes
                  Flow},
  journal      = {J. Sci. Comput.},
  volume       = {63},
  number       = {1},
  pages        = {78--117},
  year         = {2015},
  url          = {https://doi.org/10.1007/s10915-014-9885-2},
  doi          = {10.1007/S10915-014-9885-2},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/BarrettGN15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/GarckeHHK15,
  author       = {Harald Garcke and
                  Claudia Hecht and
                  Michael Hinze and
                  Christian Kahle},
  title        = {Numerical Approximation of Phase Field Based Shape and Topology Optimization
                  for Fluids},
  journal      = {{SIAM} J. Sci. Comput.},
  volume       = {37},
  number       = {4},
  year         = {2015},
  url          = {https://doi.org/10.1137/140969269},
  doi          = {10.1137/140969269},
  timestamp    = {Thu, 30 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamsc/GarckeHHK15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BenninghoffG15,
  author       = {Heike Benninghoff and
                  Harald Garcke},
  title        = {Image Segmentation and Restoration Using Parametric Contours With
                  Free Endpoints},
  journal      = {CoRR},
  volume       = {abs/1504.07259},
  year         = {2015},
  url          = {http://arxiv.org/abs/1504.07259},
  eprinttype    = {arXiv},
  eprint       = {1504.07259},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/BenninghoffG15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BenninghoffG15a,
  author       = {Heike Benninghoff and
                  Harald Garcke},
  title        = {Segmentation and Restoration of Images on Surfaces by Parametric Active
                  Contours with Topology Changes},
  journal      = {CoRR},
  volume       = {abs/1505.00193},
  year         = {2015},
  url          = {http://arxiv.org/abs/1505.00193},
  eprinttype    = {arXiv},
  eprint       = {1505.00193},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/BenninghoffG15a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BenninghoffG15b,
  author       = {Heike Benninghoff and
                  Harald Garcke},
  title        = {Segmentation of Three-dimensional Images with Parametric Active Surfaces
                  and Topology Changes},
  journal      = {CoRR},
  volume       = {abs/1506.07136},
  year         = {2015},
  url          = {http://arxiv.org/abs/1506.07136},
  eprinttype    = {arXiv},
  eprint       = {1506.07136},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/BenninghoffG15b.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamis/BenninghoffG14,
  author       = {Heike Benninghoff and
                  Harald Garcke},
  title        = {Efficient Image Segmentation and Restoration Using Parametric Curve
                  Evolution with Junctions and Topology Changes},
  journal      = {{SIAM} J. Imaging Sci.},
  volume       = {7},
  number       = {3},
  pages        = {1451--1483},
  year         = {2014},
  url          = {https://doi.org/10.1137/130932430},
  doi          = {10.1137/130932430},
  timestamp    = {Tue, 14 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamis/BenninghoffG14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BenninghoffG13,
  author       = {Heike Benninghoff and
                  Harald Garcke},
  title        = {Fast image segmentation and restoration using parametric curve evolution
                  with junctions and topology changes},
  journal      = {CoRR},
  volume       = {abs/1308.2292},
  year         = {2013},
  url          = {http://arxiv.org/abs/1308.2292},
  eprinttype    = {arXiv},
  eprint       = {1308.2292},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/BenninghoffG13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/BarrettGN12,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Parametric approximation of isotropic and anisotropic elastic flow
                  for closed and open curves},
  journal      = {Numerische Mathematik},
  volume       = {120},
  number       = {3},
  pages        = {489--542},
  year         = {2012},
  url          = {https://doi.org/10.1007/s00211-011-0416-x},
  doi          = {10.1007/S00211-011-0416-X},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/BarrettGN12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/sp/12/BlankBGSS12,
  author       = {Luise Blank and
                  Martin Butz and
                  Harald Garcke and
                  Lavinia Sarbu and
                  Vanessa Styles},
  editor       = {G{\"{u}}nter Leugering and
                  Sebastian Engell and
                  Andreas Griewank and
                  Michael Hinze and
                  Rolf Rannacher and
                  Volker Schulz and
                  Michael Ulbrich and
                  Stefan Ulbrich},
  title        = {Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with
                  Optimization Techniques},
  booktitle    = {Constrained Optimization and Optimal Control for Partial Differential
                  Equations},
  series       = {International series of numerical mathematics},
  volume       = {160},
  pages        = {21--35},
  publisher    = {Birkh{\"{a}}user / Springer},
  year         = {2012},
  url          = {https://doi.org/10.1007/978-3-0348-0133-1\_2},
  doi          = {10.1007/978-3-0348-0133-1\_2},
  timestamp    = {Mon, 03 Jan 2022 21:52:42 +0100},
  biburl       = {https://dblp.org/rec/books/sp/12/BlankBGSS12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/sp/12/BlankGSSSV12,
  author       = {Luise Blank and
                  Harald Garcke and
                  Lavinia Sarbu and
                  Tarin Srisupattarawanit and
                  Vanessa Styles and
                  Axel Voigt},
  editor       = {G{\"{u}}nter Leugering and
                  Sebastian Engell and
                  Andreas Griewank and
                  Michael Hinze and
                  Rolf Rannacher and
                  Volker Schulz and
                  Michael Ulbrich and
                  Stefan Ulbrich},
  title        = {Phase-field Approaches to Structural Topology Optimization},
  booktitle    = {Constrained Optimization and Optimal Control for Partial Differential
                  Equations},
  series       = {International series of numerical mathematics},
  volume       = {160},
  pages        = {245--256},
  publisher    = {Birkh{\"{a}}user / Springer},
  year         = {2012},
  url          = {https://doi.org/10.1007/978-3-0348-0133-1\_13},
  doi          = {10.1007/978-3-0348-0133-1\_13},
  timestamp    = {Fri, 19 Jul 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/books/sp/12/BlankGSSSV12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BarrettGN10,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {On stable parametric finite element methods for the Stefan problem
                  and the Mullins-Sekerka problem with applications to dendritic growth},
  journal      = {J. Comput. Phys.},
  volume       = {229},
  number       = {18},
  pages        = {6270--6299},
  year         = {2010},
  url          = {https://doi.org/10.1016/j.jcp.2010.04.039},
  doi          = {10.1016/J.JCP.2010.04.039},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcphy/BarrettGN10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BarrettGN08,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {On the parametric finite element approximation of evolving hypersurfaces
                  in R\({}^{\mbox{3}}\)},
  journal      = {J. Comput. Phys.},
  volume       = {227},
  number       = {9},
  pages        = {4281--4307},
  year         = {2008},
  url          = {https://doi.org/10.1016/j.jcp.2007.11.023},
  doi          = {10.1016/J.JCP.2007.11.023},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcphy/BarrettGN08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/BarrettGN08,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {A variational formulation of anisotropic geometric evolution equations
                  in higher dimensions},
  journal      = {Numerische Mathematik},
  volume       = {109},
  number       = {1},
  pages        = {1--44},
  year         = {2008},
  url          = {https://doi.org/10.1007/s00211-007-0135-5},
  doi          = {10.1007/S00211-007-0135-5},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/BarrettGN08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/GarckeIK08,
  author       = {Harald Garcke and
                  Kazuo Ito and
                  Yoshihito Kohsaka},
  title        = {Nonlinear Stability of Stationary Solutions for Surface Diffusion
                  with Boundary Conditions},
  journal      = {{SIAM} J. Math. Anal.},
  volume       = {40},
  number       = {2},
  pages        = {491--515},
  year         = {2008},
  url          = {https://doi.org/10.1137/070694752},
  doi          = {10.1137/070694752},
  timestamp    = {Fri, 03 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamma/GarckeIK08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/BarrettGN08,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Parametric Approximation of Willmore Flow and Related Geometric Evolution
                  Equations},
  journal      = {{SIAM} J. Sci. Comput.},
  volume       = {31},
  number       = {1},
  pages        = {225--253},
  year         = {2008},
  url          = {https://doi.org/10.1137/070700231},
  doi          = {10.1137/070700231},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamsc/BarrettGN08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BarrettGN07,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {A parametric finite element method for fourth order geometric evolution
                  equations},
  journal      = {J. Comput. Phys.},
  volume       = {222},
  number       = {1},
  pages        = {441--467},
  year         = {2007},
  url          = {https://doi.org/10.1016/j.jcp.2006.07.026},
  doi          = {10.1016/J.JCP.2006.07.026},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcphy/BarrettGN07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/BarrettGN07,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {On the Variational Approximation of Combined Second and Fourth Order
                  Geometric Evolution Equations},
  journal      = {{SIAM} J. Sci. Comput.},
  volume       = {29},
  number       = {3},
  pages        = {1006--1041},
  year         = {2007},
  url          = {https://doi.org/10.1137/060653974},
  doi          = {10.1137/060653974},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamsc/BarrettGN07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/BarrettGN06,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Finite element approximation of a phase field model for surface diffusion
                  of voids in a stressed solid},
  journal      = {Math. Comput.},
  volume       = {75},
  number       = {253},
  pages        = {7--41},
  year         = {2006},
  url          = {https://doi.org/10.1090/S0025-5718-05-01802-8},
  doi          = {10.1090/S0025-5718-05-01802-8},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/moc/BarrettGN06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/GarckeW06,
  author       = {Harald Garcke and
                  Sandra Wieland},
  title        = {Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions
                  of {A} Coupled Degenerate System},
  journal      = {{SIAM} J. Math. Anal.},
  volume       = {37},
  number       = {6},
  pages        = {2025--2048},
  year         = {2006},
  url          = {https://doi.org/10.1137/040617017},
  doi          = {10.1137/040617017},
  timestamp    = {Fri, 03 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamma/GarckeW06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/GarckeW05,
  author       = {Harald Garcke and
                  Ulrich Weikard},
  title        = {Numerical approximation of the Cahn-Larch{\'{e}} equation},
  journal      = {Numerische Mathematik},
  volume       = {100},
  number       = {4},
  pages        = {639--662},
  year         = {2005},
  url          = {https://doi.org/10.1007/s00211-004-0578-x},
  doi          = {10.1007/S00211-004-0578-X},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/GarckeW05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/GarckeIK05,
  author       = {Harald Garcke and
                  Kazuo Ito and
                  Yoshihito Kohsaka},
  title        = {Linearized Stability Analysis of Stationary Solutions for Surface
                  Diffusion with Boundary Conditions},
  journal      = {{SIAM} J. Math. Anal.},
  volume       = {36},
  number       = {4},
  pages        = {1031--1056},
  year         = {2005},
  url          = {https://doi.org/10.1137/S0036141003437939},
  doi          = {10.1137/S0036141003437939},
  timestamp    = {Fri, 03 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamma/GarckeIK05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamam/StinnerNG04,
  author       = {Bj{\"{o}}rn Stinner and
                  Britta Nestler and
                  Harald Garcke},
  title        = {A Diffuse Interface Model for Alloys with Multiple Components and
                  Phases},
  journal      = {{SIAM} J. Appl. Math.},
  volume       = {64},
  number       = {3},
  pages        = {775--799},
  year         = {2004},
  url          = {https://doi.org/10.1137/S0036139902413143},
  doi          = {10.1137/S0036139902413143},
  timestamp    = {Wed, 20 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamam/StinnerNG04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BarrettGN03,
  author       = {John W. Barrett and
                  Harald Garcke and
                  Robert N{\"{u}}rnberg},
  title        = {Finite Element Approximation of Surfactant Spreading on a Thin Film},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {41},
  number       = {4},
  pages        = {1427--1464},
  year         = {2003},
  url          = {https://doi.org/10.1137/S003614290139799X},
  doi          = {10.1137/S003614290139799X},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/BarrettGN03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tvcg/GarckePRTWW01,
  author       = {Harald Garcke and
                  Tobias Preu{\ss}er and
                  Martin Rumpf and
                  Alexandru C. Telea and
                  Ulrich Weikard and
                  Jarke J. van Wijk},
  title        = {A Phase Field Model for Continuous Clustering on Vector Fields},
  journal      = {{IEEE} Trans. Vis. Comput. Graph.},
  volume       = {7},
  number       = {3},
  pages        = {230--241},
  year         = {2001},
  url          = {https://doi.org/10.1109/2945.942691},
  doi          = {10.1109/2945.942691},
  timestamp    = {Sun, 06 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tvcg/GarckePRTWW01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/visualization/GarckePRTWW00,
  author       = {Harald Garcke and
                  Tobias Preu{\ss}er and
                  Martin Rumpf and
                  Alexandru C. Telea and
                  Ulrich Weikard and
                  Jarke J. van Wijk},
  title        = {A continuous clustering method for vector fields},
  booktitle    = {11th {IEEE} Visualization Conference, {IEEE} Vis 2000, Salt Lake City,
                  UT, USA, October 8-13, 2000, Proceedings},
  pages        = {351--358},
  publisher    = {{IEEE} Computer Society and {ACM}},
  year         = {2000},
  url          = {https://doi.org/10.1109/VISUAL.2000.885715},
  doi          = {10.1109/VISUAL.2000.885715},
  timestamp    = {Thu, 23 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/visualization/GarckePRTWW00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamam/GarckeNS99,
  author       = {Harald Garcke and
                  Britta Nestler and
                  Barbara Stoth},
  title        = {A MultiPhase Field Concept: Numerical Simulations of Moving Phase
                  Boundaries and Multiple Junctions},
  journal      = {{SIAM} J. Appl. Math.},
  volume       = {60},
  number       = {1},
  pages        = {295--315},
  year         = {1999},
  url          = {https://doi.org/10.1137/S0036139998334895},
  doi          = {10.1137/S0036139998334895},
  timestamp    = {Wed, 20 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamam/GarckeNS99.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BarrettBG99,
  author       = {John W. Barrett and
                  James F. Blowey and
                  Harald Garcke},
  title        = {Finite Element Approximation of the Cahn-Hilliard Equation with Degenerate
                  Mobility},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {37},
  number       = {1},
  pages        = {286--318},
  year         = {1999},
  url          = {https://doi.org/10.1137/S0036142997331669},
  doi          = {10.1137/S0036142997331669},
  timestamp    = {Mon, 11 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/BarrettBG99.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/BarrettBG98,
  author       = {John W. Barrett and
                  James F. Blowey and
                  Harald Garcke},
  title        = {Finite element approximation of a fourth order nonlinear degenerate
                  parabolic equation},
  journal      = {Numerische Mathematik},
  volume       = {80},
  number       = {4},
  pages        = {525--556},
  year         = {1998},
  url          = {https://doi.org/10.1007/s002110050377},
  doi          = {10.1007/S002110050377},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nm/BarrettBG98.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}