Error estimates and superconvergence of mixed finite element methods for convex optimal control problems

Y Chen, Y Huang, W Liu, N Yan - Journal of Scientific Computing, 2010 - Springer
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 …

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 …

New regularity results and improved error estimates for optimal control problems with state constraints∗

E Casas, M Mateos, B Vexler - ESAIM: Control, Optimisation and …, 2014 - cambridge.org
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 …

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 …

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 …

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 …

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 …

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 …

A symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints

SC Brenner, J Gedicke, LY Sung - Computational Methods in …, 2023 - degruyter.com
We construct a symmetric interior penalty method for an elliptic distributed optimal control
problem with pointwise state constraints on general polygonal domains. The resulting …

Optimal control for Darcy's equation in a heterogeneous porous media

SH Jeong, S Lee - Applied Numerical Mathematics, 2025 - Elsevier
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 …