Solution techniques for the p-Version of the adaptive finite element method

Papadrakakis, Manolis; Babilis George, P

dc.contributor.author	Papadrakakis, Manolis	en
dc.contributor.author	Babilis George, P	en
dc.date.accessioned	2014-03-01T01:10:17Z
dc.date.available	2014-03-01T01:10:17Z
dc.date.issued	1994	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11355
dc.subject	Adaptive Finite Element Method	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Adaptive method	en
dc.subject.other	Domain decomposition	en
dc.subject.other	Systems of linear equations	en
dc.subject.other	Finite element method	en
dc.title	Solution techniques for the p-Version of the adaptive finite element method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620370809	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620370809	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	This paper investigates the performance of a class of methods based on the Preconditioned Conjugate Gradient (PCG) method for the solution of large and sparse systems of linear equations which arise from the p-version of the adaptive finite element method. The hierarchical type of preconditioning used in the past is extended to the SSOR and incomplete factorization type preconditioning and applied with a global handling of the stiffness matrix. The paper also presents some new ideas on Domain Decomposition (DD) matrix-handling techniques, whereby the explicit formulation of the resulting Schur complement is avoided by utilizing the PCG method with efficient preconditioners and by processing separately on the coarse and the fine mesh. The suitability of the methods to the p-version of the adaptive finite element method is demonstrated through extensive numerical tests in two dimensions.	en
heal.publisher	Publ by John Wiley & Sons Ltd, Chichester, United Kingdom	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620370809	en
dc.identifier.isi	ISI:A1994NJ71900008	en
dc.identifier.volume	37	en
dc.identifier.issue	8	en
dc.identifier.spage	1413	en
dc.identifier.epage	1431	en