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Additive Schwarz Preconditioners for the Obstacle Problem of Clamped Kirchhoff Plates
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 active set algorithm. In this paper we develop and
analyze additive Schwarz preconditioners for the systems that appear in each
iteration of the primal-dual active set algorithm. Numerical results that
corroborate the theoretical estimates are also presented