An additive Schwarz method for variational inequalities

Badea, Lori; Wang, Junping

doi:10.1090/S0025-5718-99-01164-3

An additive Schwarz method for variational inequalities
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by Lori Badea and Junping Wang;

Math. Comp. 69 (2000), 1341-1354

DOI: https://doi.org/10.1090/S0025-5718-99-01164-3

Published electronically: May 20, 1999

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Abstract:

This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to converge with a geometric rate depending on the decomposition of the domain. The result is based on an abstract framework of convergence analysis established for general variational inequalities in Hilbert spaces.

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