Full-discrete adaptive FEM for quasi-parabolic integro-differential PDE-constrained optimal control problem
type: Item
instance of: scholarly article
title: Full-discrete adaptive FEM for quasi-parabolic integro-differential PDE-constrained optimal control problem
zbMATH Open document ID: 1383.49041
published in: Boundary Value Problems
publication date: 2016-08-08T00:00:00Z
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 6609964
zbMATH Keywords: full-discrete adaptive FEM
zbMATH Keywords: equivalent a posteriori error estimates
zbMATH Keywords: linear quasi-parabolic integro-differential PDE
zbMATH Keywords: optimal control problem
zbMATH Keywords: optimality conditions
zbMATH Keywords: constrained control
author: Wanfang Shen
MaRDI profile type: Publication
full work available at URL: s13661-016-0626-3
OpenAlex ID: W2470420611
Wikidata QID: Q59467319
cites work: Q5288844
cites work: Sobolev-Volterra projection and numerical analysis of finite element methods for integro-differential equations
cites work: Q5601627
cites work: On the approximation of infinite optimization problems with an application to optimal control problems
cites work: Approximation of a class of optimal control problems with order of convergence estimates
cites work: Approximation of an elliptic control problem by the finite element method
cites work: Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems
cites work: Q4303526
cites work: Q3317635
cites work: Error estimates for the discretization of state constrained convex control problems
cites work: Finite element methods for optimal control problems governed by integral equations and integro-differential equations
cites work: Finite element methods for optimal control problems governed by linear quasi-parabolic integro-differential equations
cites work: Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
cites work: An optimal control approach to a posteriori error estimation in finite element methods
cites work: Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
cites work: A posteriori error estimates for distributed convex optimal control problems
cites work: ERROR ESTIMATES IN THE APPROXIMATION OF OPTIMIZATION PROBLEMS GOVERNED BY NONLINEAR OPERATORS
cites work: A posteriori error estimates for convex boundary control problems
cites work: A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems
cites work: Q5628582
cites work: Sharp a posteriori error estimates for optimal control governed by parabolic integro-differential equations
cites work: Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
cites work: Q4162607
cites work: Q4886148
cites work: On multi-mesh \(H\)-adaptive methods
DOI: 10.1186/S13661-016-0626-3
description: scientific article; zbMATH DE number 6609964