Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems
type: Item
instance of: scholarly article
title: Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems
zbMATH Open document ID: 1002.65116
DOI: 10.1016/S0898-1221(02)00143-8
author: Jichun Li
publication date: 2002-08-15T00:00:00Z
review text: Two families of discontinuous finite element methods for singularly perturbed reaction-diffusion problems are studied. They contain multiple scales spanning the whole problem domain because of a small perturbation parameters. To solve such a multiscale problem, an anisotropic mesh is proposed. This mesh use a finer mesh inside small scale regions, where boundary layers are located, and elsewhere large scale regions are applied. Uniform optimal error estimates in the energy norm are determined for both families on the anisotropical mesh.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1781565
zbMATH Keywords: singular perturbation
zbMATH Keywords: discontinuous finite element methods
zbMATH Keywords: reaction-diffusion problems
zbMATH Keywords: multiscale problem
zbMATH Keywords: anisotropic mesh
zbMATH Keywords: error estimates
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1781565