Anisotropic mesh refinement in polyhedral domains: error estimates with data inL2(Ω)

DOI10.1051/m2an/2013134zbMath1312.65175arXiv1303.2960OpenAlexW3103983157MaRDI QIDQ2877717

Ariel L. Lombardi, Thomas Apel, Max Winkler

Publication date: 25 August 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2960

zbMATH Keywords

error estimatesfinite element methodPoisson equationoptimal control problemelliptic boundary value problemnumerical resultdiscrete compactness propertyanisotropic mesh gradingedge and vertex singularitiesquasi-interpolantion operator

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 (6)

Finite element approximations for PDEs with irregular Dirichlet boundary data on boundary concentrated meshes ⋮ A mixed discretization of elliptic problems on polyhedra using anisotropic hybrid meshes ⋮ Error estimates for the finite element approximation of bilinear boundary control problems ⋮ Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains ⋮ Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra ⋮ Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients

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