A posteriori H1 error estimation for a singularly perturbed reaction diffusion problem on anisotropic meshes

DOI10.1093/imanum/drh009zbMath1072.65141OpenAlexW1993409040MaRDI QIDQ4670204

Gerd Kunert

Publication date: 18 April 2005

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drh009

zbMATH Keywords

stabilitysingular perturbationnumerical experimentsefficiencyerror boundsanisotropic meshesreaction diffusion problemreliable error estimatorsresidual error estimatorslocal problem estimators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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