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2002 | OriginalPaper | Buchkapitel

A FETI - DP Method for a Mortar Discretization of Elliptic Problems

verfasst von : Maksymilian Dryja, Olof B. Widlund

Erschienen in: Recent Developments in Domain Decomposition Methods

Verlag: Springer Berlin Heidelberg

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In this paper, an iterative substructuring method with Lagrange multipliers is proposed for discrete problems arising from approximation of elliptic problem in two dimensions on non-matching meshes. The problem is formulated using a mortar technique. The algorithm belongs to the family of dual-primal FETI (Finite Element Tearing and Interconnecting) methods which has been analyzed recently for discretization on matching meshes. In this method the unknowns at the vertices of substructures are eliminated together with those of the interior nodal points of these substructures. It is proved that the preconditioner proposed is almost optimal; it is also well suited for parallel computations.

Metadaten
Titel
A FETI - DP Method for a Mortar Discretization of Elliptic Problems
verfasst von
Maksymilian Dryja
Olof B. Widlund
Copyright-Jahr
2002
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-56118-4_3

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