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Harald Garcke

Identifiers

  • name variant Harald Garcke 0.60 · backfill

Papers (95)

  1. Weak and strong solutions for a class of quasilinear Allen--Cahn systems math.AP · 2026 · author #1
  2. Analysis of a Cahn-Hilliard-Canham-Helfrich system for the evolution of a two-phase membrane math.AP · 2026 · author #1
  3. A Parametric Finite Element Approach for an Anisotropic Multi-Phase Mullins-Sekerka Problem with Kinetic Undercooling math.NA · 2026 · author #2
  4. A convergent finite element method for two-phase Stokes flow driven by surface tension math.NA · 2025 · author #2
  5. An energy-stable parametric finite element method for Willmore flow with normal-tangential velocity splitting math.NA · 2025 · author #1
  6. Stable fully practical finite element methods for axisymmetric Willmore flow math.NA · 2025 · author #1
  7. Unfitted finite element methods for axisymmetric two-phase flow math.NA · 2023 · author #1
  8. Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics math.AP · 2023 · author #3
  9. A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains math.AP · 2023 · author #3
  10. Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches math.NA · 2022 · author #1
  11. A diffuse-interface approach for solid-state dewetting with anisotropic surface energies math.AP · 2022 · author #1
  12. Global regularity and asymptotic stabilization for the incompressible Navier-Stokes-Cahn-Hilliard model with unmatched densities math.AP · 2022 · author #2
  13. Phase field topology optimisation for 4D printing math.OC · 2022 · author #1
  14. Qualitative Properties for a System Coupling Scaled Mean Curvature Flow and Diffusion math.AP · 2022 · author #3
  15. Short Time Existence for Coupling of Scaled Mean Curvature Flow and Diffusion math.AP · 2022 · author #3
  16. A Cahn-Hilliard model coupled to viscoelasticity with large deformations math.AP · 2022 · author #3
  17. A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters math.NA · 2022 · author #2
  18. Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces math.NA · 2022 · author #2
  19. Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies math.OC · 2021 · author #1
  20. Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations math.NA · 2021 · author #2
  21. A phase-field approach to shape and topology optimization of acoustic waves in dissipative media math.OC · 2021 · author #1
  22. Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids math.AP · 2021 · author #1
  23. Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport math.NA · 2021 · author #1
  24. A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics q-bio.CB · 2021 · author #4
  25. Phase-Field Methods for Spectral Shape and Topology Optimization math.OC · 2021 · author #1
  26. Long-time dynamics of the Cahn--Hilliard equation with kinetic rate dependent dynamic boundary conditions math.AP · 2021 · author #1
  27. Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds math.NA · 2020 · author #1
  28. Sparse optimal control of a phase field tumour model with mechanical effects math.OC · 2020 · author #1
  29. Shape and Topology Optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach math.OC · 2020 · author #1
  30. Long-time Dynamics for a Cahn-Hilliard Tumor Growth Model with Chemotaxis math.AP · 2020 · author #1
  31. Cahn-Hilliard-Brinkman systems for tumour growth math.AP · 2020 · author #2
  32. Structure preserving discretisations of gradient flows for axisymmetric two-phase biomembranes math.NA · 2020 · author #1
  33. Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data math.NA · 2019 · author #3
  34. On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects math.AP · 2019 · author #1
  35. Stable approximations for axisymmetric Willmore flow for closed and open surfaces math.NA · 2019 · author #2
  36. Non-linear Stability of Double Bubbles under Surface Diffusion math.AP · 2019 · author #1
  37. On the Surface Diffusion Flow with Triple Junctions in Higher Space Dimensions math.AP · 2019 · author #1
  38. Stability analysis for stationary solutions of the Mullins-Sekerka flow with boundary contact math.AP · 2019 · author #1
  39. Parametric finite element approximations of curvature driven interface evolutions math.NA · 2019 · author #2
  40. Long Time Existence of Solutions to an Elastic Flow of Networks math.AP · 2019 · author #1
  41. On a Cahn-Hilliard-Brinkman model for tumour growth and its singular limits math.AP · 2018 · author #2
  42. Stable discretizations of elastic flow in Riemannian manifolds math.NA · 2018 · author #2
  43. Weak solutions of the Cahn-Hilliard system with dynamic boundary conditions: A gradient flow approach math.AP · 2018 · author #1
  44. Numerical approximation of curve evolutions in Riemannian manifolds math.NA · 2018 · author #2
  45. Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis math.AP · 2018 · author #2
  46. Finite element methods for fourth order axisymmetric geometric evolution equations math.NA · 2018 · author #2
  47. Variational discretization of axisymmetric curvature flows math.NA · 2018 · author #2
  48. Cahn--Hilliard inpainting with the double obstacle potential math.AP · 2018 · author #1
  49. Willmore Flow of planar networks math.AP · 2017 · author #1
  50. Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flow with Surfactants math.AP · 2017 · author #2
  51. Gradient flow dynamics of two-phase biomembranes: Sharp interface variational formulation and finite element approximation math.NA · 2017 · author #2
  52. A phase field approach to shape optimization in Navier--Stokes flow with integral state constraint math.OC · 2017 · author #1
  53. A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis math.AP · 2017 · author #1
  54. A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities physics.flu-dyn · 2017 · author #2
  55. Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model math.OC · 2016 · author #1
  56. Finite Element Approximation for the Dynamics of Fluidic Two-Phase Biomembranes math.NA · 2016 · author #2
  57. On a Cahn--Hilliard--Darcy system for tumour growth with solution dependent source terms math.AP · 2016 · author #1
  58. Two-phase flow with surfactants: Diffuse interface models and their analysis physics.flu-dyn · 2016 · author #2
  59. Global weak solutions and asymptotic limits of a Cahn--Hilliard--Darcy system modelling tumour growth math.AP · 2016 · author #1
  60. Optimal control of treatment time in a diffuse interface model of tumor growth math.OC · 2016 · author #1
  61. Diffuse interface approaches in atmosphere and ocean - modeling and numerical implementation math.NA · 2016 · author #1
  62. Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis math.AP · 2016 · author #1
  63. Well-posedness of a Cahn--Hilliard system modelling tumour growth with chemotaxis and active transport math.AP · 2015 · author #1
  64. A coupled surface-Cahn--Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes math.AP · 2015 · author #1
  65. A Cahn--Hilliard--Darcy model for tumour growth with chemotaxis and active transport math.AP · 2015 · author #1
  66. Segmentation of Three-dimensional Images with Parametric Active Surfaces and Topology Changes cs.CV · 2015 · author #2
  67. Standard Planar Double Bubbles are Stable under Surface Diffusion Flow math.AP · 2015 · author #3
  68. Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes cs.CV · 2015 · author #2
  69. Image Segmentation and Restoration Using Parametric Contours With Free Endpoints cs.CV · 2015 · author #2
  70. Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach math.OC · 2015 · author #1
  71. Numerical computations of the dynamics of fluidic membranes and vesicles physics.comp-ph · 2015 · author #2
  72. Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow math.OC · 2014 · author #1
  73. Numerical approximation of phase field based shape and topology optimization for fluids math.OC · 2014 · author #1
  74. Stable Numerical Approximation of Two-Phase Flow with a Boussinesq--Scriven Surface Fluid math.NA · 2014 · author #2
  75. On Convergence of Solutions to Equilibria for Fully Nonlinear Parabolic Systems with Nonlinear Boundary Conditions math.AP · 2014 · author #3
  76. Stability of Spherical Caps under the Volume-Preserving Mean Curvature Flow with Line Tension math.AP · 2014 · author #2
  77. Local Well-Posedness for Volume-Preserving Mean Curvature and Willmore Flows with Line Tension math.AP · 2014 · author #2
  78. A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow math.AP · 2014 · author #1
  79. Multi-material phase field approach to structural topology optimization math.OC · 2013 · author #3
  80. On the Stable Numerical Approximation of Two-Phase Flow with Insoluble Surfactant math.NA · 2013 · author #2
  81. A Stable Parametric Finite Element Discretization of Two-Phase Navier--Stokes Flow math.NA · 2013 · author #2
  82. Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes cs.CV · 2013 · author #2
  83. Eliminating Spurious Velocities with a Stable Approximation of Viscous Incompressible Two-Phase Stokes Flow math.NA · 2013 · author #2
  84. Diffuse interface modelling of soluble surfactants in two-phase flow physics.flu-dyn · 2013 · author #1
  85. Phase Field Models versus Parametric Front Tracking Methods: Are they accurate and computationally efficient? physics.comp-ph · 2012 · author #2
  86. Stable Phase Field Approximations of Anisotropic Solidification math.NA · 2012 · author #2
  87. On an Incompressible Navier-Stokes/Cahn-Hilliard System with Degenerate Mobility math.AP · 2012 · author #3
  88. On the stable discretization of strongly anisotropic phase field models with applications to crystal growth math.NA · 2012 · author #2
  89. Mean curvature flow with triple junctions in higher space dimensions math.AP · 2012 · author #2
  90. Numerical computations of facetted pattern formation in snow crystal growth cond-mat.mtrl-sci · 2012 · author #2
  91. Finite-Element Approximation of One-Sided Stefan Problems with Anisotropic, Approximately Crystalline, Gibbs--Thomson Law physics.comp-ph · 2012 · author #2
  92. Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities math.AP · 2011 · author #3
  93. Thermodynamically Consistent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities physics.flu-dyn · 2010 · author #2
  94. Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation math.AP · 2009 · author #2
  95. Nonlinear stability of stationary solutions for curvature flow with triple junction math.DS · 2008 · author #1

Mentions

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Frequent Coauthors