259 citations · 283 across the 18 of their papers we have counts for
4 papers · 2 filters
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…
Additive Schwarz preconditioners for a state constrained elliptic distributed optimal control problem discretized by a partition of unity method
Susanne C. Brenner, Christopher B. Davis, Li-yeng Sung
We present additive Schwarz preconditioners for a class of elliptic optimal control problems discretized by a partition of unity method. The discrete problem is solved by a primal-…
A Balancing Domain Decomposition by Constraints Preconditioner for a Interior Penalty Method
Susanne C. Brenner, Eun-Hee Park, Li-Yeng Sung +1
We develop a nonoverlapping domain decomposition preconditioner for the interior penalty method, a discontinuous Galerkin method, for the biharmonic problem. The precondition…
Additive Schwarz Preconditioners for the Obstacle Problem of Clamped Kirchhoff Plates
Susanne C. Brenner, Christopher B. Davis, Li-yeng Sung
When the obstacle problem of clamped Kirchhoff plates is discretized by a partition of unity method, the resulting discrete variational inequalities can be solved by a primal-dual…