非合格砂浆有限元方法的多层加性Schwarz预调节器

J. Num. Math. Pub Date : 2004-04-01 DOI:10.1515/1569395041172917

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

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引用次数: 10

摘要

砂浆单元形成了一系列特殊的非重叠区域分解方法，允许跨子区域边界的不同三角形耦合。讨论和分析了非匹配三角形条件下砂浆有限元的多级预条件。分析是在加性Schwarz方法的抽象框架内进行的。数值结果表明，该预调节器的性能与理论预测一致。我们的条件数估计二次依赖于细化级别的数量。

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Multilevel additive Schwarz preconditioner for nonconforming mortar finite element 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.

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来源期刊

J. Num. Math.

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