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24 April 2024

» arxiv » 1811.7809

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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 ;
Date:	19 Nov 2018
Abstract:	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-dual active set algorithm, where the auxiliary system in each iteration is solved by a preconditioned conjugate gradient method based on additive Schwarz preconditioners. Condition number estimates are given and verified by a numerical example.
Source:	arXiv, 1811.7809
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