Local error estimates for the SUPG method applied to evolutionary convection-reaction-diffusion equations

DOI10.1007/s10915-015-0035-2zbMath1336.65151OpenAlexW1982033970MaRDI QIDQ257090

Javier de Frutos, Julia Novo, Bosco García-Archilla

Publication date: 15 March 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-015-0035-2

zbMATH Keywords

singular perturbationstabilizationboundary value problemnumerical experimentimplicit Euler schemeevolutionary convection-diffusiongeneral finite elementslocal error boundsstationary convection-diffusionstreamline upwind Petrov-Galerkin method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) 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) 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)

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