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An additive Schwarz method for variational inequalities |
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| Authors: | Lori Badea Junping Wang |
| Institution: | Institute of Mathematics, Romanian Academy of Sciences, Bucharest, Romania ; Department of Mathematics, University of Wyoming, Laramie, Wyoming 82071 |
| 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. |
| Keywords: | variational inequalities obstacle problems finite element methods domain decomposition methods |
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