Adaptive finite element methods for elliptic equations with non-smooth coefficients
type: Item
instance of: scholarly article
title: Adaptive finite element methods for elliptic equations with non-smooth coefficients
zbMATH Open document ID: 0962.65096
published in: Numerische Mathematik
publication date: 2000-08-15T00:00:00Z
review text: This paper concerns a second-order elliptic equation with discontinuous or anisotropic coefficients in a bounded two- or three-dimensional polyhedral domain with a Lipschitz-continuous boundary, and its finite element discretization. Some a priori and a posteriori error estimates in an appropriate norm, which are independent of the variation of the coefficients, are proved.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 1491746
zbMATH Keywords: adaptive finite element methods
zbMATH Keywords: non-smooth coefficients
zbMATH Keywords: second-order elliptic equation
zbMATH Keywords: error estimates
author: Christine Bernardi
author: Rüdiger Verfürth
MaRDI profile type: Publication
DOI: 10.1007/S002110000135
description: scientific article; zbMATH DE number 1491746