An Interface Strip Preconditioner for Domain Decomposition Methods

A preconditioner for iterative solution of the interface problem in Schur Complement Domain Decomposition Methods is presented. This preconditioner is based on solving a problem in a narrow strip around the interface. It requires much less memory and computing time than classical Neumann-Neumann pre...

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Bibliographic Details
Authors: Storti, Mario Alberto, Dalcin, Lisandro Daniel, Paz, Rodrigo Rafael, Yommi, Andrea, Sonzogni, Victorio Enrique, Nigro, Norberto Marcelo
Format: article
Status:Published version
Publication Date:2006
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/26358
Online Access:http://hdl.handle.net/11336/26358
Access Level:Open access
Keyword:Domain Decomposition Methods
Finite Element Method
Parallel Computing
Description
Summary:A preconditioner for iterative solution of the interface problem in Schur Complement Domain Decomposition Methods is presented. This preconditioner is based on solving a problem in a narrow strip around the interface. It requires much less memory and computing time than classical Neumann-Neumann preconditioner and its variants, and handles correctly the flux splitting among subdomains that share the interface. The performance of this preconditioner is assessed with an analytical study of Schur complement matrix eigenvalues. Results in a production parallel finite element code are given in a companion paper [1].

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