An efficient nonconforming finite element two-grid method for Allen-Cahn equation

DOI10.1016/j.aml.2019.06.037zbMath1464.65112OpenAlexW2953499080WikidataQ127555250 ScholiaQ127555250MaRDI QIDQ2275213

Qian Liu, Dong-Yang Shi

Publication date: 2 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.06.037

zbMATH Keywords

stability analysisnonconforming elementtwo-grid methodAllen-Cahn equationsuperconvergent estimate

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Dynamics of phase boundaries in solids (74N20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (4)

Superconvergent estimate of a Galerkin finite element method for nonlinear Poisson-Nernst-Planck equations ⋮ A two‐grid finite element method for the Allen‐Cahn equation with the logarithmic potential ⋮ Nonconforming finite element method for coupled <scp>Poisson–Nernst–Planck</scp> equations ⋮ A new combined scheme of \(H^1\)-Galerkin FEM and TGM for bacterial equations

Cites Work

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• A Novel Two-Grid Method for Semilinear Elliptic Equations
• A two-level finite element method for the Allen–Cahn equation
• Approximation of Nonconforming Quasi-Wilson Element for Sine-Gordon Equations

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