A Superconvergent Finite Element Method for the Korteweg-de Vries Equation

DOI10.2307/2007462zbMath0487.76028OpenAlexW4235115308MaRDI QIDQ3948738

Douglas N. Arnold, Ragnar Winther

Publication date: 1982

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007462

zbMATH Keywords

Korteweg-de Vries equationunconditionally stableoptimal order global estimatesquasiprojection used as perturbationsmall time-independent forcing termsuperconvergent at nodes

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Basic methods in fluid mechanics (76M99)

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