Stability, convergence and order of the extrapolations of the residual smoothing scheme in energy norm

DOI10.1142/S1793744211000436zbMath1230.65103OpenAlexW2093453151MaRDI QIDQ643860

Magali Ribot, Michelle Schatzman

Publication date: 2 November 2011

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793744211000436

zbMATH Keywords

stabilityconvergenceHilbert spacepreconditioningfinite element methodsmethod of linesfinite difference methodsEuler methodenergy normspectral methodparabolic equationsRichardson extrapolationabstract differential equationresidual smoothing scheme

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Linear differential equations in abstract spaces (34G10) Preconditioners for iterative methods (65F08)

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