Adaptive semidiscrete finite element methods for semilinear parabolic integrodifferential optimal control problem with control constraint
type: Item
instance of: scholarly article
title: Adaptive semidiscrete finite element methods for semilinear parabolic integrodifferential optimal control problem with control constraint
zbMATH Open document ID: 1397.49043
DOI: 10.1155/2013/302935
author: Zuliang Lu
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: The aim of this work is to study the semidiscrete finite element discretization for a class of semilinear parabolic integrodifferential optimal control problems. We derive a posteriori error estimates in \(L^2(J;L^2(\Omega))\)-norm and \(L^2(J;H^1(\Omega))\)-norm for both the control and coupled state approximations. Such estimates can be used to construct reliable adaptive finite element approximation for semilinear parabolic integrodifferential optimal control problem. Furthermore, we introduce an adaptive algorithm to guide the mesh refinement. Finally, a numerical example is given to demonstrate the theoretical results.
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 6950604
Wikidata QID: Q59005243
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/302935
OpenAlex ID: W2035088404
description: scientific article; zbMATH DE number 6950604