Implementation and performance of Arnoldi and Lanczos eigensolvers in Galerkin-finite element computations

Papadopoulos, D; Siettos, C; Boudouvis, AG; Chronopoulos, AT

dc.contributor.author	Papadopoulos, D	en
dc.contributor.author	Siettos, C	en
dc.contributor.author	Boudouvis, AG	en
dc.contributor.author	Chronopoulos, AT	en
dc.date.accessioned	2014-03-01T02:48:16Z
dc.date.available	2014-03-01T02:48:16Z
dc.date.issued	1994	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/33679
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0028729642&partnerID=40&md5=627daf06921be28806944867258716ce	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Ferromagnetic materials	en
dc.subject.other	Interfaces (materials)	en
dc.subject.other	Linearization	en
dc.subject.other	Magnetic fields	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Vectors	en
dc.subject.other	Arnoldi and Lanczos eigensolvers	en
dc.subject.other	Galerkin method	en
dc.subject.other	Finite element method	en
dc.title	Implementation and performance of Arnoldi and Lanczos eigensolvers in Galerkin-finite element computations	en
heal.type	conferenceItem	en
heal.publicationDate	1994	en
heal.abstract	The methods of Arnoldi and Lanczos are implemented 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.	en
heal.publisher	Civil-Comp Limited, Edinburgh, United Kingdom	en
heal.journalName	International Conference on Computational Structures Technology - Proceedings	en
dc.identifier.spage	253	en
dc.identifier.epage	261	en