A balancing domain decomposition by constraints preconditioner for a hybridizable discontinuous Galerkin discretization of an elliptic optimal control problem
We consider a hybridizable discontinuous Galerkin (HDG) method for an elliptic distributed optimal control problem and we propose a balancing domain decomposition by constraints (BDDC) preconditioner to solve the discretized system. We establish an error estimate of the HDG methods with explicit tracking of a regularization parameter β. We observe that the BDDC preconditioner is robust with respect to β. Numerical results are shown to support our findings.
@article{arxiv.2504.02072,
title = {A balancing domain decomposition by constraints preconditioner for a hybridizable discontinuous Galerkin discretization of an elliptic optimal control problem},
author = {Sijing Liu and Jinjin Zhang},
journal= {arXiv preprint arXiv:2504.02072},
year = {2025}
}