A posteriori error estimation for fully discrete hierarchic models of elliptic boundary value problems on thin domains
type: Item
instance of: scholarly article
title: A posteriori error estimation for fully discrete hierarchic models of elliptic boundary value problems on thin domains
zbMATH Open document ID: 0912.65087
author: Mark Ainsworth
published in: Numerische Mathematik
publication date: 1999-05-03T00:00:00Z
review text: The goal of an adaptive solution process is to reduce the total error to a prescribed tolerance. The total error consists of the two parts arising from each step of the overall process of modelling and discretization. This paper deals with a posteriori error estimators for fully discrete hierarchic modelling on thin domains. An approach to provide computable upper bounds on the discretization error and on the totol error is presented. An overview of the results when applied to a non-laminated material is given.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1228450
zbMATH Keywords: a posteriori error estimates
zbMATH Keywords: fully discrete hierarchic models
zbMATH Keywords: elliptic boundary value problems
zbMATH Keywords: thin domains
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
full work available at URL: s002110050370
OpenAlex ID: W2081330222
DOI: 10.1007/S002110050370
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description: scientific article; zbMATH DE number 1228450