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M. Dryja, A. Gantner, O.B. Widlund, B.I. Wohlmuth

Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods

Keywords: domain decomposition, elliptic mortar finite element method, non-matching triangulations, preconditioned conjugate gradients, additive Schwarz methods

Mortar elements form a family of special non-overlapping domain decomposition methods which allows the coupling of different triangulations across subdomain boundaries. We discuss and analyze a multilevel preconditioner for mortar finite elements on nonmatching triangulations. The analysis is carried out within the abstract framework of additive Schwarz methods. Numerical results show a performance of our preconditioner as predicted by the theory. Our condition number estimate depends quadratically on the number of refinement levels.

Journal of Numerical Mathematics, Walter de Gruyter

Print ISSN: 1570-2820
Volume: 12, 04/2004
Pages: 23 - 38

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