Article ID Journal Published Year Pages File Type
1710518 Applied Mathematics Letters 2007 7 Pages PDF
Abstract

A class of preconditioners for the linear system arising from the discretization by the mortar method is studied. We focus on the substructuring approach already applied by Achdou et al. [Y. Achdou, Y. Maday, O. Widlund, Substructuring preconditioners for the mortar method in dimension two, SIAM J. Numer. Anal. 36 (1999) 551–580] to the mortar method for the case of order one finite elements. The estimate that we provide relies on abstract assumptions so our result holds for finite elements of any order, as well as for spaces of different kinds, e.g. wavelets.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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