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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Detalles Bibliográficos
Autores: Storti, Mario Alberto, Dalcin, Lisandro Daniel, Paz, Rodrigo Rafael, Yommi, Andrea, Sonzogni, Victorio Enrique, Nigro, Norberto Marcelo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/26358
Acceso en línea:http://hdl.handle.net/11336/26358
Access Level:acceso abierto
Palabra clave:Domain Decomposition Methods
Finite Element Method
Parallel Computing
Descripción
Sumario: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].