Umarkhon Rakhimov

A Function-Space Framework for BDDC Preconditioning in Control- and State-Constrained Sparse Optimal Control

We develop a Balancing Domain Decomposition by Constraints (BDDC) preconditioner for the interface systems arising from active-set semi-smooth Newton linearizations of elliptic optimal control problems with box-constrained controls, $L^1$-sparsity, and Moreau--Yosida regularized state constraints. The domain decomposit...