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Published in:
2005 | OriginalPaper | Chapter
On an Additive Schwarz Preconditioner for the Crouzeix-Raviart Mortar Finite Element
Authors : Talal Rahman, Xuejun Xu, Ronald H.W. Hoppe
Published in: Domain Decomposition Methods in Science and Engineering
Publisher: Springer Berlin Heidelberg
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We consider an additive Schwarz preconditioner for the algebraic system resulting from the discretization of second order elliptic equations with discontinuous coefficients, using the lowest order Crouzeix-Raviart element on nonmatching meshes. The overall discretization is based on the mortar technique for coupling nonmatching meshes. A convergence analysis of the preconditioner has recently been given in Rahman et al. [2003]. In this paper, we give a matrix formulation of the preconditioner, and discuss some of its numerical properties.