Adaptive finite element method for elliptic optimal control problems: convergence and optimality
type: Item
instance of: scholarly article
title: Adaptive finite element method for elliptic optimal control problems: convergence and optimality
zbMATH Open document ID: 1364.65125
author: W. Gong
author: Ningning Yan
published in: Numerische Mathematik
publication date: 2017-04-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1505.01632
review text: The authors consider the convergence analysis of the adaptive finite element method for elliptic optimal control problems with pointwise control constraints. Variational discretization concepts are used to discretize the control variable and piecewise linear and continuous finite elements to approximate the state variable. The convergence and quasi-optimality of the method is proved, by using the so-called perturbation argument. Numerical tests confirm the given theoretical analysis.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6705758
zbMATH Keywords: finite element method
zbMATH Keywords: elliptic optimal control problems
zbMATH Keywords: convergence
zbMATH Keywords: quasi-optimality
zbMATH Keywords: numerical test
MaRDI profile type: Publication
OpenAlex ID: W3102072430
arXiv ID: 1505.01632
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DOI: 10.1007/S00211-016-0827-9
description: scientific article