A posteriori error estimators of gradient recovery type for FEM of a model optimal control problem
type: Item
instance of: scholarly article
title: A posteriori error estimators of gradient recovery type for FEM of a model optimal control problem
zbMATH Open document ID: 1027.65087
DOI: 10.1023/A:1022800401298
published in: Advances in Computational Mathematics
publication date: 2003-05-04T00:00:00Z
review text: The adaptive finite element method (FEM) is widely used in different fields of applied mathematics and plays a very important role in numerical solution of optimal control problems. In this paper a posteriori error estimators of gradient recovery type of the adaptive finite element method for a model optimal control problem of elliptic systems is derived. It is shown that the a posteriori error estimator is equivalent to the discrimination error in a norm of energy type on general meshes. When the solution of the optimal control problem is smooth and the meshes are uniform then the a posteriori estimators are asymptotically exact.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 1904002
zbMATH Keywords: optimal control problem
zbMATH Keywords: a posteriori error estimator
zbMATH Keywords: gradient recovery method
zbMATH Keywords: finite element
author: Ningning Yan
reviewed by: Asaf D. Iskenderov
MaRDI profile type: Publication
full work available at URL: a:1022800401298
OpenAlex ID: W102640039
description: scientific article; zbMATH DE number 1904002