\(L^2\)-error analysis of discontinuous Galerkin approximations for nonlinear Sobolev equations

DOI10.1007/s13160-012-0096-7zbMath1273.65126OpenAlexW2049386108MaRDI QIDQ1943088

Yanyan Li

Publication date: 15 March 2013

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-012-0096-7

zbMATH Keywords

semidiscretizationsymmetric interior penalty methodnonlinear Sobolev equations\(L^2\)-error estimationdiscontinuous Galerkin approximations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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