A Finite Element Splitting Extrapolation for Second Order Hyperbolic Equations

DOI10.1137/070703090zbMath1205.65269OpenAlexW1989080020MaRDI QIDQ3066203

Xiaoming He, Tao Lü

Publication date: 10 January 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10919/48160

zbMATH Keywords

finite elementsasymptotic expansionnumerical examplesdomain decompositionsemidiscretizationparallel algorithmRichardson extrapolationa posteriori error estimatenonlinear hyperbolic equationssecond order hyperbolic equationsdiscontinuous problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with low regular coefficients and/or low regular data (35R05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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