A posteriori error estimates for some model boundary control problems
type: Item
instance of: scholarly article
title: A posteriori error estimates for some model boundary control problems
zbMATH Open document ID: 0963.65072
DOI: 10.1016/S0377-0427(00)00308-3
published in: Journal of Computational and Applied Mathematics
publication date: 2000-09-04T00:00:00Z
review text: Convex optimal boundary control problems are considered. A finite element approximation of the problem is investigated. In order to obtain a numerical solution of desired accuracy the finite element meshes have to be refined. For adaptive finite element approximation a posteriori error indicators are necessary. Full a posteriori error estimates are derived for the state and the control. An adaptive algorithm based on the estimates is described.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 1501742
zbMATH Keywords: mesh refinement
zbMATH Keywords: convex optimal boundary control problems
zbMATH Keywords: finite element approximation
zbMATH Keywords: a posteriori error estimates
author: Wenbin Liu
author: Ningning Yan
MaRDI profile type: Publication
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full work available at URL: s0377-0427(00)00308-3
OpenAlex ID: W2022132737
description: scientific article; zbMATH DE number 1501742