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FETI Domain Decomposition Methods for Second Order Elliptic Partial Differential Equations
Author(s) -
Klawonn Axel
Publication year - 2006
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201490036
Subject(s) - feti , domain decomposition methods , elliptic partial differential equation , mortar methods , partial differential equation , mathematics , scalar (mathematics) , lagrange multiplier , mathematical analysis , finite element method , mathematical optimization , physics , geometry , thermodynamics
A survey on certain F inite E lement T earing and I nterconnecting (FETI) methods for second order elliptic partial differential equations is given. FETI methods are nonoverlapping domain decomposition algorithms where continuity across subdomain boundaries is treated, sometimes only in parts, by Lagrange multipliers. The family of FETI algorithms is among the best known and most severely tested domain decomposition methods for elliptic partial differential equations. In this article, an overview is given of the classical one‐level FETI method and the more recent dual‐primal FETI methods; both type of algorithms are considered for scalar, second order, elliptic equations and the system of linear elasticity, and are illustrated by some computational results. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)