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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-…
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…
A Generalized Finite Element Method for the Obstacle Problem of Plates
Susanne C. Brenner, Christopher B. Davis, Li-yeng Sung
A generalized finite element method for the displacement obstacle problem of clamped Kirchhoff plates is considered in this paper. We derive optimal error estimates and present num…