Time discretizations of anisotropic Allen-Cahn equations

DOI10.1093/imanum/drs043zbMath1279.65085OpenAlexW2141942500MaRDI QIDQ2856619

Carsten Gräser, Uli Sack, Ralf Kornhuber

Publication date: 30 October 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3b69319b3db6dce50b75f8b76fa5271085596480

zbMATH Keywords

stabilitynumerical experimentsphase transitionsmultigridtime discretizationanisotropic Allen-Cahn equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (10)

An explicit hybrid finite difference scheme for the Allen-Cahn equation ⋮ Optimal control of anisotropic Allen-Cahn equations ⋮ Numerical approximation of multi-phase Penrose-Fife systems ⋮ Optimal control of a quasilinear parabolic equation and its time discretization ⋮ Lack of robustness and accuracy of many numerical schemes for phase-field simulations ⋮ A diffuse-interface approach for solid-state dewetting with anisotropic surface energies ⋮ The anisotropic Cahn-Hilliard equation: regularity theory and strict separation properties ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ On the stability and accuracy of partially and fully implicit schemes for phase field modeling ⋮ Algorithm 997

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