A finite element method for Allen-Cahn equation on deforming surface

DOI10.1016/j.camwa.2021.03.018OpenAlexW3043663963MaRDI QIDQ2019611

Vladimir Yushutin, Xianmin Xu, Maxim A. Olshanskii

Publication date: 21 April 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09531

zbMATH Keywords

Allen-Cahnevolving surfacesgeodesic mean curvature flowsurface PDEstrace FEM

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (max. 100)

Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem ⋮ Regularization and Separation for Evolving Surface Cahn–Hilliard Equations ⋮ Unconditionally stable Monte Carlo simulation for solving the multi-dimensional Allen-Cahn equation ⋮ Numerical Surgery for Mean Curvature Flow of Surfaces ⋮ Cahn–Hilliard equations on an evolving surface

Uses Software

• DROPS
• CutFEM

Cites Work

• Unnamed Item
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