activity
20142023
most citedA finite element method for Dirichlet boundary control problems governed by parabolic PDEs

4 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2023

Mixed virtual element methods for elliptic optimal control problems with boundary observations in L^2(Gamma)

Minghui Yang, Zhaojie Zhou

In this paper we study the mixed virtual element approximation to an elliptic optimal control problem with boundary observations. The objective functional of this type of optimal c…

math.OC2023

Adaptive finite element approximation of bilinear optimal control with fractional Laplacian

Fangyuan Wang, Qiming Wang, Zhaojie Zhou

We investigate the application of a posteriori error estimates to a fractional optimal control problem with pointwise control constraints. Specifically, we address a problem in whi…

math.NA2023

Adaptive finite element approximation of sparse optimal control with integral fractional Laplacian

Fangyuan Wang, Qiming Wang, Zhaojie Zhou

In this paper we present and analyze a weighted residual a posteriori error estimate for an optimal control problem. The problem involves a nondifferentiable cost functional, a sta…

math.NA2016

Convergence of -norm based adaptive finite element method for elliptic optimal control problems

Wei Gong, Ningning Yan, Zhaojie Zhou

This paper aims to study the convergence of adaptive finite element method for control constrained elliptic optimal control problems under -norm. We prove the contraction prop…

math.OC2014★ 4 cited

A finite element method for Dirichlet boundary control problems governed by parabolic PDEs

Wei Gong, Michael Hinze, Zhaojie Zhou

Finite element approximations of Dirichlet boundary control problems governed by parabolic PDEs on convex polygonal domains are studied in this paper. The existence of a unique sol…