An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

DOI10.4208/cicp.OA-2020-0036zbMath1473.65179OpenAlexW3082198153WikidataQ115481487 ScholiaQ115481487MaRDI QIDQ5162351

Ping Lin, Emine Celiker

Publication date: 2 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2020-0036

zbMATH Keywords

finite element methoderror estimationcorner singularitiesmesh refinementAllen-Cahn equationnon-convex polygoninvariant energy quadratization

Mathematics Subject Classification ID

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) Applications to the sciences (65Z05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Uses Software

• p1afem

Cites Work

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