The Mortar Element Method with Locally Nonconforming Elements |
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Authors: | Leszek Marcinkowski |
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Institution: | (1) Department of Mathematics, Informatics and Mechanics Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland. email: lmarcin@mimuw.edu.pl |
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Abstract: | We consider a discretization of linear elliptic boundary value problems in 2-D by the new version of the mortar finite element method which uses locally nonconforming Crouzeix-Raviart elements. We show that if a solution of the original differential problem belongs to the space H
2(), then an error is of the same order as in the standard nonconforming finite element method. We also propose an additive Schwarz method of solving the discrete problem and show that its rate of convergence is almost optimal. |
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Keywords: | Domain decomposition mortar finite element method nonconforming elements error estimate elliptic equations additive Schwarz method |
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