Efficiency of refinement procedures for the p- version of the adaptive finite element method

Papadrakakis, M; Babilis, G; Braouzi, GP

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Babilis, G	en
dc.contributor.author	Braouzi, GP	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/123456789/33675
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0028729462&partnerID=40&md5=530f96405340164e8a979a9cfc5caae4	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Elasticity	en
dc.subject.other	Hierarchical systems	en
dc.subject.other	Iterative methods	en
dc.subject.other	Stiffness	en
dc.subject.other	Conjugate gradient method	en
dc.subject.other	Error estimation	en
dc.subject.other	Linear equations	en
dc.subject.other	Finite element method	en
dc.title	Efficiency of refinement procedures for the p- version of the adaptive finite element method	en
heal.type	conferenceItem	en
heal.publicationDate	1994	en
heal.abstract	The paper presents an efficiency study of different refinement procedures for the p-version of the adaptive finite element method in two-dimensional elasticity problems. The refinement strategy, based on the estimated error in energy norm, attempts an optimal distribution of the nodeless degrees of freedom associated with the basic approximation parameter of the order p of the hierarchic shape functions. This procedure is combined with appropriate matrix handling techniques and equation solvers in order to achieve a solution of a given accuracy with the minimum computational resources in terms of computing time and storage. To this extend convergence studies are performed with constant and variable adaptivity indices, with error estimators based on global and elemental approaches and with domain decomposition matrix handling techniques and the preconditioned conjugate gradient solver.	en
heal.publisher	Civil-Comp Limited, Edinburgh, United Kingdom	en
heal.journalName	International Conference on Computational Structures Technology - Proceedings	en
dc.identifier.spage	111	en
dc.identifier.epage	124	en