Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation

DOI10.1016/j.cam.2020.112857zbMath1436.65145OpenAlexW3013445406MaRDI QIDQ1987453

Yan Xu, Fengna Yan

Publication date: 15 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112857

zbMATH Keywords

error estimatesAllen-Cahn equationenergy stabilitylocal discontinuous Galerkin methodsemi-implicit spectral deferred correction scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

L-stable spectral deferred correction methods and applications to phase field models ⋮ Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes

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