Stability analysis of magnetohydrostatic equilibrium by the finite element method and Arnoldi and Lanczos eigensolvers

Siettos, CI; Papadopoulos, DT; Boudouvis, AG; Chronopoulos, AT

dc.contributor.author	Siettos, CI	en
dc.contributor.author	Papadopoulos, DT	en
dc.contributor.author	Boudouvis, AG	en
dc.contributor.author	Chronopoulos, AT	en
dc.date.accessioned	2014-03-01T01:12:17Z
dc.date.available	2014-03-01T01:12:17Z
dc.date.issued	1996	en
dc.identifier.issn	0965-9978	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12052
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0030270454&partnerID=40&md5=5a493182bdf2a30b3e8e905c1313391d	en
dc.subject	Arnoldi	en
dc.subject	Eigenproblems	en
dc.subject	Lanczos	en
dc.subject	Stability	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Ferromagnetic materials	en
dc.subject.other	Finite element method	en
dc.subject.other	Iterative methods	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Stability	en
dc.subject.other	Galerkins method	en
dc.subject.other	Linearized eigenproblem	en
dc.subject.other	Magnetohydrostatic equilibrium	en
dc.subject.other	Newton iteration	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Computation theory	en
dc.title	Stability analysis of magnetohydrostatic equilibrium by the finite element method and Arnoldi and Lanczos eigensolvers	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	The methods of Arnoldi and Lanczos are used for solving large and sparse eigenvalue problems. Such problems arise in the computation of stability of solutions of parameter-dependent, nonlinear partial differential equations discretized by the Galerkin/finite element method. Results are presented for the stability of equilibrium solutions of axisymmetric ferromagnetic liquid interfaces in external magnetic field of varying strength. Copyright (C) 1996 Civil-Comp Limited and Elsevier Science Limited	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Advances in Engineering Software	en
dc.identifier.isi	ISI:A1996VH72400016	en
dc.identifier.volume	27	en
dc.identifier.issue	1-2	en
dc.identifier.spage	145	en
dc.identifier.epage	153	en