A global preconditioner for the element-by-element solution methods

Papadrakakis, M; Dracopoulos, MC

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Dracopoulos, MC	en
dc.date.accessioned	2014-03-01T01:08:12Z
dc.date.available	2014-03-01T01:08:12Z
dc.date.issued	1991	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10339
dc.subject	Element By Element	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computer Programming	en
dc.subject.other	Mathematical Techniques - Finite Element Method	en
dc.subject.other	Structural Analysis - Computer Applications	en
dc.subject.other	Coefficient Matrix-Vector Products	en
dc.subject.other	Element-Element Solution Method	en
dc.subject.other	Iterative Method Convergence Properties	en
dc.subject.other	Iterative Method Global Preconditioner	en
dc.subject.other	Preconditioning Techniques	en
dc.subject.other	Mathematical Techniques	en
dc.title	A global preconditioner for the element-by-element solution methods	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7825(91)90090-S	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7825(91)90090-S	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	Two computational strategies are proposed in this paper to be implemented for preconditioning of basic iterative methods in the finite element environment. The preconditioning technique employed is called partial preconditioning, which uses a drop-off parameter to control the elements to be retained in the preconditioning matrix without making any alterations to the initial coefficient matrix. We develop a framework for constructing the preconditioning matrices based on the partial preconditioning concept without the need to store the complete coefficient matrix. In those cases where, due to storage limitations, the coefficient matrix-vector products are performed on the element level, as well as in a number of nonlinear applications where the formation of the coefficient matrix is not necessary, the proposed techniques produce a global preconditioner for accelerating an iterative element-by-element solution procedure. The first technique is general and can handle any type of finite element, while the second is particularly adjusted to problems comprising only one-dimensional elements. © 1991.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/0045-7825(91)90090-S	en
dc.identifier.isi	ISI:A1991FY93200001	en
dc.identifier.volume	88	en
dc.identifier.issue	3	en
dc.identifier.spage	275	en
dc.identifier.epage	286	en