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

Papadrakakis, M; Babilis, G; Braouzi, P

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Babilis, G	en
dc.contributor.author	Braouzi, P	en
dc.date.accessioned	2014-03-01T01:12:49Z
dc.date.available	2014-03-01T01:12:49Z
dc.date.issued	1997	en
dc.identifier.issn	0264-4401	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12255
dc.subject	Adaptive Finite Element Method	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Adaptive algorithms	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Efficiency	en
dc.subject.other	Error analysis	en
dc.subject.other	Finite element method	en
dc.subject.other	Optimization	en
dc.subject.other	Approximation theory	en
dc.subject.other	Data reduction	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Estimation	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Polynomials	en
dc.subject.other	Problem solving	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Refinement procedures	en
dc.subject.other	Adaptivity index	en
dc.subject.other	Legendre polynomials	en
dc.subject.other	Polynomial degrees	en
dc.subject.other	Elasticity	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	journalArticle	en
heal.identifier.primary	10.1108/02644409710157640	en
heal.identifier.secondary	http://dx.doi.org/10.1108/02644409710157640	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	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 hierarchical 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 extent, 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	MCB UNIV PRESS LTD	en
heal.journalName	Engineering Computations (Swansea, Wales)	en
dc.identifier.doi	10.1108/02644409710157640	en
dc.identifier.isi	ISI:A1997XC96200006	en
dc.identifier.volume	14	en
dc.identifier.issue	1	en
dc.identifier.spage	98	en
dc.identifier.epage	118	en