Optimal error estimates of the local discontinuous Galerkin method and high-order time discretization scheme for the Swift-Hohenberg equation

DOI10.1007/s10915-022-02014-3zbMath1503.65254OpenAlexW4297475445MaRDI QIDQ2103410

Ruihan Guo, Lingling Zhou

Publication date: 13 December 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-02014-3

zbMATH Keywords

error estimateSwift-Hohenberg equationenergy stabilitylocal discontinuous Galerkin methodspectral deferred correction method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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