Volume 4, pp. 75-88, 1996.

A preconditioner for the mortar finite element method

Mario A. Casarin and Olof B. Widlund

Abstract

Mortar elements form a family of nonconforming finite element methods that are more flexible than conforming finite elements and are known to be as accurate as their conforming counterparts. A fast iterative method is developed for linear, second order elliptic equations in the plane. Our algorithm is modeled on a hierarchical basis preconditioner previously analyzed and tested, for the conforming case, by Barry Smith and the second author. A complete analysis and results of numerical experiments are given for lower order mortar elements and geometrically conforming decompositions of the region into subregions.

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Key words

domain decomposition, mortar finite element method, hierarchical preconditioner.

AMS subject classifications

65F30, 65N22, 65N30, 65N55.

ETNA articles which cite this article

Vol. 11 (2000), pp. 43-54 Barbara I. Wohlmuth: A multigrid method for saddle point problems arising from mortar finite element discretizations
Vol. 26 (2007), pp. 34-54 Leszek Marcinkowski: An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D

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