A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis
type: Item
instance of: scholarly article
title: A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis
zbMATH Open document ID: 0940.65076
DOI: 10.1016/S0898-1221(99)00117-0
author: J. Tinsley Oden
author: Ivo Babuška
author: Carlos Erik Baumann
publication date: 2000-01-20T00:00:00Z
review text: The mathematical background for a new type of discontinuous Galerkin method is reported, including stability analysis and error estimates, and is illustrated by the numerical analysis of a steady state 1-D diffusion problem. The shape functions are discontinuous at the element boundaries. The main features of the method are: auxiliary variables are not needed; robustness; the method yields elementwise conservative approximations; resulting matrices are positive-definite, well conditioned and convenient for the treatment of transient problems; adaptive error control; acceptable costs.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 1391558
zbMATH Keywords: discontinuous \(hp\) finite element method
zbMATH Keywords: stability
zbMATH Keywords: error analysis
zbMATH Keywords: 1-D steady state diffusion equation
zbMATH Keywords: discontinuous Galerkin method
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1391558