A posteriori error estimators and adaptivity for finite element approximation of the non-homogeneous Dirichlet problem

DOI10.1023/A:1014240508621zbMath0999.65116OpenAlexW1561367884MaRDI QIDQ5959270

Donald W. Kelly, Mark Ainsworth

Publication date: 26 March 2002

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014240508621

zbMATH Keywords

Dirichlet problemfinite element methodnumerical examplesa posteriori error estimatesPoisson equationtriangular mesh

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

Guaranteed computable bounds on quantities of interest in finite element computations ⋮ Some improvements to the flux-type a posteriori error estimators ⋮ Asymptotic exactness of an a posteriori error estimator based on the equilibrated residual method ⋮ A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations ⋮ Inhomogeneous Dirichlet boundary condition in the \textit{a posteriori} error control of the obstacle problem ⋮ An improved a priori error analysis of Nitsche's method for Robin boundary conditions ⋮ LOCALLY EFFICIENT AND RELIABLEA POSTERIORIERROR ESTIMATORS FOR DIRICHLET PROBLEMS ⋮ Error analysis of Nitsche's mortar method