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 …

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 …

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 …

A finite element method for an elliptic optimal control problem with integral state constraints

K Porwal, P Shakya - Applied Numerical Mathematics, 2021 - Elsevier
In this article, we discuss a priori error estimates of a bubble enriched nonconforming finite
element method for a linear quadratic elliptic distributed optimal control problem with …

P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions

SC Brenner, M Oh, LY Sung - Results in Applied Mathematics, 2020 - Elsevier
P1 finite element methods for an elliptic state-constrained distributed optimal control problem
with Neumann boundary conditions - ScienceDirect Skip to main contentSkip to article …

Discontinuous Galerkin methods for an elliptic optimal control problem with a general state equation and pointwise state constraints

S Liu, Z Tan, Y Zhang - Journal of Computational and Applied Mathematics, 2024 - Elsevier
We investigate discontinuous Galerkin methods for an elliptic optimal control problem with a
general state equation and pointwise state constraints on general polygonal domains. We …

Error estimates for a bubble-enriched C0 interior penalty method to a reduced state constrained elliptic optimal control problem

T Gudi, P Shakya - Journal of Computational and Applied Mathematics, 2025 - Elsevier
In this article, we study a bubble-enriched C 0 interior penalty method for the elliptic optimal
control problem with pointwise control constraints. We have used the strategy of converting …

Adaptive finite element methods for a fourth order obstacle problem and a state constrained optimal control problem

D Garg, K Porwal - Mathematics and Computers in Simulation, 2023 - Elsevier
This article discusses, a posteriori error analysis for HCT and Morley finite element methods
for the fourth order obstacle problem (with simply supported boundary conditions) as well as …

Finite element approximation to optimal Dirichlet boundary control problem: A priori and a posteriori error estimates

S Du, X He - Computers & Mathematics with Applications, 2023 - Elsevier
In this paper, based on the KKT system (the first order optimality condition) for elliptic
Dirichlet boundary control problems governed by the Laplacian operator, we develop a new …

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 …