Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method

Pashos, G; Kavousanakis, ME; Spyropoulos, AN; Palyvos, JA; Boudouvis, AG

dc.contributor.author	Pashos, G	en
dc.contributor.author	Kavousanakis, ME	en
dc.contributor.author	Spyropoulos, AN	en
dc.contributor.author	Palyvos, JA	en
dc.contributor.author	Boudouvis, AG	en
dc.date.accessioned	2014-03-01T01:31:55Z
dc.date.available	2014-03-01T01:31:55Z
dc.date.issued	2009	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19977
dc.subject	Deflation	en
dc.subject	Eigenvalue	en
dc.subject	GMRES	en
dc.subject	MPI	en
dc.subject	Preconditioner	en
dc.subject	Singularity	en
dc.subject	Superlinear speedup	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Linear systems	en
dc.subject.other	Linearization	en
dc.subject.other	Message passing	en
dc.subject.other	Switching systems	en
dc.subject.other	Deflation	en
dc.subject.other	Eigenvalue	en
dc.subject.other	GMRES	en
dc.subject.other	MPI	en
dc.subject.other	Preconditioner	en
dc.subject.other	Singularity	en
dc.subject.other	Superlinear speedup	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.title	Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cam.2008.07.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cam.2008.07.012	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	A method for simultaneous solution of large and sparse linearized equation sets and the corresponding eigenvalue problems is presented. Such problems arise from the discretization and the solution of nonlinear problems with the finite element method and Newton iteration. The method is based on a parallel version of the preconditioned GMRES(m) by deflation. The parallel code exploits the architecture of the computational clusters using the MPI (Message Passing Interface). The convergence rate, the parallel speedup and the memory requirements of the proposed method are reported and evaluated. (C) 2008 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Computational and Applied Mathematics	en
dc.identifier.doi	10.1016/j.cam.2008.07.012	en
dc.identifier.isi	ISI:000265004100019	en
dc.identifier.volume	227	en
dc.identifier.issue	1	en
dc.identifier.spage	196	en
dc.identifier.epage	205	en