Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
In this paper, we investigate the discretization of general convex optimal control problem
using the mixed finite element method. The state and co-state are discretized by the lowest …
using the mixed finite element method. The state and co-state are discretized by the lowest …
A virtual element method for an elliptic distributed optimal control problem with pointwise state constraints
SC Brenner, LY Sung, Z Tan - Mathematical Models and Methods in …, 2021 - World Scientific
A virtual element method for an elliptic distributed optimal control problem with pointwise state
constraints Page 1 OPEN ACCESS Mathematical Models and Methods in Applied Sciences …
constraints Page 1 OPEN ACCESS Mathematical Models and Methods in Applied Sciences …
New regularity results and improved error estimates for optimal control problems with state constraints∗
In this paper we are concerned with a distributed optimal control problem governed by an
elliptic partial differential equation. State constraints of box type are considered. We show …
elliptic partial differential equation. State constraints of box type are considered. We show …
A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints
O Benedix, B Vexler - Computational Optimization and Applications, 2009 - Springer
In this paper optimal control problems governed by elliptic semilinear equations and subject
to pointwise state constraints are considered. These problems are discretized using finite …
to pointwise state constraints are considered. These problems are discretized using finite …
A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints
SC Brenner, L Sung - SIAM Journal on Control and Optimization, 2017 - SIAM
We consider finite element methods for elliptic distributed optimal control problems with
pointwise state constraints on two and three dimensional convex polyhedral domains …
pointwise state constraints on two and three dimensional convex polyhedral domains …
Finite element approximations of an optimal control problem with integral state constraint
W Liu, D Yang, L Yuan, C Ma - SIAM journal on numerical analysis, 2010 - SIAM
An integral state-constrained optimal control problem governed by an elliptic partial
differential equation and its finite element approximation are considered. The finite element …
differential equation and its finite element approximation are considered. The finite element …
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (survey)
SC Brenner - Advances in Mathematical Sciences: AWM Research …, 2020 - Springer
Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise
State Constraints (Survey) | SpringerLink Skip to main content Advertisement SpringerLink …
State Constraints (Survey) | SpringerLink Skip to main content Advertisement SpringerLink …
Finite element discretization of state-constrained elliptic optimal control problems with semilinear state equation
I Neitzel, J Pfefferer, A Rösch - SIAM Journal on Control and Optimization, 2015 - SIAM
We study a class of semilinear elliptic optimal control problems with pointwise state
constraints. The purpose of this paper is twofold. First, we present convergence results for …
constraints. The purpose of this paper is twofold. First, we present convergence results for …
A symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints
We construct a symmetric interior penalty method for an elliptic distributed optimal control
problem with pointwise state constraints on general polygonal domains. The resulting …
problem with pointwise state constraints on general polygonal domains. The resulting …
Optimal control for Darcy's equation in a heterogeneous porous media
In this paper, we investigate optimal control problems in heterogeneous porous media. The
optimal control problem is governed by the Darcy's flow equation; where the pressure is the …
optimal control problem is governed by the Darcy's flow equation; where the pressure is the …