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 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 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 …

A Quadratic C 0 Interior Penalty Method for an Elliptic Optimal Control Problem with State Constraints

SC Brenner, LY Sung, Y Zhang - … Equations: 2012 John H Barrett Memorial …, 2014 - Springer
We consider an elliptic distributed optimal control problem on convex polygonal domains
with pointwise state constraints and solve it as a fourth order variational inequality for the …

Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints

SC Brenner, J Gedicke, LY Sung - SIAM Journal on Numerical Analysis, 2018 - SIAM
$C^0$ Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on
Nonconvex Polygonal Domains with Pointwise Page 1 Copyright © by SIAM. Unauthorized …

[PDF][PDF] A priori error analysis of mixed virtual element methods for optimal control problems governed by Darcy equation

X Wang, Q Wang, Z Zhou - East Asian J. Appl. Math, 2023 - global-sci.com
A mixed virtual element discretization of optimal control problems governed by the Darcy
equation with pointwise control constraint is investigated. A discrete scheme uses virtual …

Error estimates for finite element approximations of parabolic equations with measure data

W Gong - Mathematics of computation, 2013 - ams.org
In this paper we study the a priori error estimates for the finite element approximations of
parabolic equations with measure data, especially we consider problems with separate …

Additive Schwarz methods for fourth-order variational inequalities

J Park - Journal of Scientific Computing, 2024 - Springer
Fourth-order variational inequalities are encountered in various scientific and engineering
disciplines, including elliptic optimal control problems and plate obstacle problems. In this …

[PDF][PDF] P 1 finite element methods for an elliptic optimal control problem with pointwise state constraints

SC Brenner, L Sung, J Gedicke - IMA Journal of Numerical …, 2020 - academic.oup.com
P1 finite element methods for an elliptic optimal control problem with pointwise state
constraints Page 1 IMA Journal of Numerical Analysis (2020) 40, 1–28 doi:10.1093/imanum/dry071 …