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- Publisher
- de Gruyter
- Copyright
- Copyright 2004, Walter de Gruyter
- ISSN
- 1570-2820
- eISSN
- 1569-3953
- DOI
- 10.1515/1569395041172917
- Publisher site
- See Article on Publisher Site
Abstract
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
Journal of Numerical Mathematics – de Gruyter
Published: Apr 1, 2004
Keywords: domain decomposition,; elliptic mortar finite element method,; non-matching triangulations,; preconditioned conjugate gradients,; additive Schwarz methods.