3 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…