Superconvergence error estimate of a linearized energy-stable Galerkin scheme for semilinear wave equation

DOI10.1016/j.aml.2020.107006zbMath1468.65154OpenAlexW3119393844MaRDI QIDQ2021475

Huaijun Yang

Publication date: 27 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.107006

zbMATH Keywords

semilinear wave equationlinearized energy-stable schemesuperconvergence error estimate

Mathematics Subject Classification ID

Wave equation (35L05) 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)

Related Items (4)

A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations ⋮ Unconditionally optimal error estimate of mass- and energy-stable Galerkin method for Schrödinger equation with cubic nonlinearity ⋮ Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin-Bona-Mahony-Burgers equation ⋮ An efficient numerical simulation of the two-dimensional semilinear wave equation

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