Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

DOI10.4208/NMTMA.OA-2020-0155zbMath1488.65229OpenAlexW3172584543MaRDI QIDQ5017530

Hyundong Kim, Yibao Li, Junseok Kim, Chaeyoung Lee, Yongho Choi

Publication date: 17 December 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2020-0155

zbMATH Keywords

Laplace-Beltrami operatorhybrid numerical methodAllen-Cahn equationtriangular surface mesh

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

Fast and efficient numerical method for solving the Allen-Cahn equation on the cubic surface ⋮ Shape transformation on curved surfaces using a phase-field model ⋮ A simple and efficient numerical method for the Allen-Cahn equation on effective symmetric triangular meshes

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