Stabilized Galerkin methods and layer-adapted grids for elliptic problems

DOI10.1016/S0045-7825(98)00089-9zbMath0951.65118OpenAlexW2087464489MaRDI QIDQ1299292

R. Hangleiter, Gert Lube

Publication date: 6 December 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00089-9

zbMATH Keywords

singular perturbationerror estimatesstabilizationboundary layerssecond-order elliptic boundary value problemsGalerkin finite element methods

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)

Related Items (7)

A brief survey on numerical methods for solving singularly perturbed problems ⋮ A posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problems ⋮ Finite element analysis of convection dominated reaction--diffusion problems. ⋮ Error estimates and adaptive finite element methods ⋮ A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation ⋮ A posteriori error estimation for convection dominated problems on anisotropic meshes ⋮ Stabilized finite element methods with shock capturing for advection-diffusion problems

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