A posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problems

DOI10.1016/j.cam.2010.11.032zbMath1210.65187OpenAlexW2055792370MaRDI QIDQ629557

Thomas Apel, Serge Nicaise, Dieter Sirch

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.11.032

zbMATH Keywords

interpolationSobolev spacesstabilizationbubble functionsa posteriori error estimateelliptic problemanisotropic diffusionanisotropic finite elementsstreamline upwind Petrov-Galerkin methodSUPGseminormoptimal lower bounddiffusion-convection-reaction problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

An integral equation method for the Helmholtz problem in the presence of small anisotropic inclusions ⋮ Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012 ⋮ Robust a posteriori error estimates for conforming discretizations of diffusion problems with discontinuous coefficients on anisotropic meshes ⋮ On the superconvergence patch recovery techniques for the linear finite element approximation on anisotropic meshes ⋮ Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problems

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