Harald Garcke

University of Regensburg — Germany

Computer Science · Physical Sciences

42h-index6.9kcitations327works0.82yr avg
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Research Topics

Advanced Mathematical Modeling in Engineering(160), Solidification and crystal growth phenomena(132), Advanced Numerical Methods in Computational Mathematics(50), Fluid Dynamics and Thin Films(44), Lattice Boltzmann Simulation Studies(34)

Publications327 total

The anisotropic Cahn–Hilliard equation with degenerate mobility: Existence of weak solutions
Analysis and Applications·2025
On a Cahn–Hilliard equation for the growth and division of chemically active droplets modelling protocells
European Journal of Applied Mathematics·2025· 1 citedOpen Access
A Parametric Finite Element Method for a Degenerate Multi-Phase Stefan Problem with Triple Junctions
Computational Methods in Applied Mathematics·2025Open Access
Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves
Journal of Scientific Computing·2025· 2 citedOpen Access
Convergence analysis for the Barrett--Garcke--Nurnberg method of transport type for evolving curves
ArXiv.org·2025Open Access
Structure-preserving parametric finite element methods for two-phase Stokes flow based on Lagrange multiplier approaches
arXiv (Cornell University)·2025Open Access
Error estimates for a surface finite element method for anisotropic mean curvature flow
arXiv (Cornell University)·2025Open Access
Isoparametric finite element methods for mean curvature flow and surface diffusion
Journal of Computational Physics·2025Open Access
An energy-stable parametric finite element method for Willmore flow with normal-tangential velocity splitting
arXiv (Cornell University)·2025Open Access
Structure-Preserving Parametric Finite Element Method for Surface Diffusion Based on Lagrange Multiplier Approaches
SIAM Journal on Scientific Computing·2025· 2 cited
Stable fully practical finite element methods for axisymmetric Willmore flow
arXiv (Cornell University)·2025Open Access
Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions
arXiv (Cornell University)·2025Open Access
Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness
Calculus of Variations and Partial Differential Equations·2025· 6 citedOpen Access
An energy-stable minimal deformation rate scheme for mean curvature flow and surface diffusion
arXiv (Cornell University)·2025Open Access
On a Cahn-Hilliard equation for the growth and division of chemically active droplets modeling protocells
arXiv (Cornell University)·2025Open Access
The anisotropic Cahn--Hilliard equation with degenerate mobility: Existence of weak solutions
arXiv (Cornell University)·2025Open Access
A variational front-tracking method for multiphase flow with triple junctions
Mathematics of Computation·2025· 2 citedOpen Access
Structure-preserving parametric finite element methods for two-phase Stokes flow based on Lagrange multiplier approaches
SSRN Electronic Journal·2025Open Access
Isoparametric Finite Element Methods For Mean Curvature Flow and Surface Diffusion
SSRN Electronic Journal·2025Open Access
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity
IMA Journal of Numerical Analysis·2024· 1 citedOpen Access
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Frequent Co-authors

John W. Barrett(19), Robert Nürnberg(16), Britta Nestler(7), Björn Stinner(5), Barbara Stoth(4), Vanessa Styles(4), Günther Grün(3), James F. Blowey(3), Luise Blank(3), Charles M. Elliott(2), Roberta Dal Passo(2), Kei Fong Lam(2), Frank Wendler(2), Michael Selzer(2), Lavinia Sarbu(2), Michael Hinze(2), Christian Kahle(2), Helmut Abels(1), Emanuel Sitka(1), Michiel Bertsch(1)