Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
type: Item
instance of: scholarly article
title: Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
zbMATH Open document ID: 0951.65108
DOI: 10.1023/A:1011591328604
author: V. Girault
author: Beatrice Riviere
author: Mary F. Wheeler
published in: Computational Geosciences
publication date: 2000-06-07T00:00:00Z
review text: The authors discuss three numerical algorithms for elliptic problems which employ discontinuous approximation spaces and obtain optimal a priori \(hp\) error estimates in \(H^1\) and \(L^2\) or \(H^1\) for all three procedures. The three methods are called the non-symmetric interior penalty Galerkin method, the non-symmetric constrained Galerkin method, and the discontinuous Galerkin method. The three algorithms are closely related in that the underlying bilinear form for all three is the same and is non-symmetric. All three methods are locally conservative.
reviewed by: Ziwen Jiang
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1456881
zbMATH Keywords: discontinuous spaces
zbMATH Keywords: elliptic equations
zbMATH Keywords: error estimates
zbMATH Keywords: constrained spaces
zbMATH Keywords: algorithms
zbMATH Keywords: non-symmetric interior penalty Galerkin method
zbMATH Keywords: non-symmetric constrained Galerkin method
zbMATH Keywords: discontinuous Galerkin method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1456881