On a posteriori error estimators in the infinite element method on anisotropic meshes

zbMath0934.65122MaRDI QIDQ1292264

Christoph Pflaum, Steffen Gräf, Manfred Dobrowolski

Publication date: 21 June 1999

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120197

zbMATH Keywords

numerical examplefinite elementsanisotropic meshesPoisson equationa posteriori error estimatorsinfinite element method

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

Anisotropic finite elements for the Stokes problem: a posteriori error estimator and adaptive mesh ⋮ A new methodology for anisotropic mesh refinement based upon error gradients ⋮ Anisotropic mesh refinement for finite element methods based on error reduction ⋮ A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates ⋮ Metric tensors for anisotropic mesh generation ⋮ Robust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshes ⋮ Zienkiewicz–Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes ⋮ An equilibrated residual method with a computable error approximation for a singularly perturbed reaction-diffusion problem on anisotropic finite element meshes

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