6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.NA2023
Robust Multigrid Methods for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem
Sijing Liu
We consider discontinuous Galerkin methods for an elliptic distributed optimal control problem and we propose multigrid methods to solve the discretized system. We prove that the $…
math.NA2023★ 6 cited
Discontinuous Galerkin Methods for an Elliptic Optimal Control Problem with a General State Equation and Pointwise State Constraints
Sijing Liu, Zhiyu Tan, Yi Zhang
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…
math.NA2018
Multigrid methods for saddle point problems: Karush-Kuhn-Tucker systems
Susanne C. Brenner, Sijing Liu, Li-yeng Sung
We construct multigrid methods for an elliptic distributed optimal control problem that are robust with respect to a regularization parameter. We prove the uniform convergence of t…