3 papers
math.NA2025
Convergence analysis of a balancing domain decomposition method for an elliptic optimal control problem with HDG discretizations
Sijing Liu, Jinjin Zhang
In this work, a balancing domain decomposition by constraints (BDDC) algorithm is applied to the nonsymmetric positive definite linear system arising from the hybridizable disconti…
math.NA2025
A balancing domain decomposition by constraints preconditioner for a hybridizable discontinuous Galerkin discretization of an elliptic optimal control problem
Sijing Liu, Jinjin Zhang
We consider a hybridizable discontinuous Galerkin (HDG) method for an elliptic distributed optimal control problem and we propose a balancing domain decomposition by constraints (B…
math.NA2024
Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation
Sijing Liu, Valeria Simoncini
We consider discontinuous Galerkin methods for an elliptic distributed optimal control problem constrained by a convection-dominated problem. We prove global optimal convergence ra…