Advanced solution methods in topology optimization and shape sensitivity analysis

Papadrakakis, M; Tsompanakis, Y; Hinton, E; Sienz, J

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Tsompanakis, Y	en
dc.contributor.author	Hinton, E	en
dc.contributor.author	Sienz, J	en
dc.date.accessioned	2014-03-01T01:11:39Z
dc.date.available	2014-03-01T01:11:39Z
dc.date.issued	1996	en
dc.identifier.issn	0264-4401	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11762
dc.subject	hybrid systems	en
dc.subject	optimization techniques	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	Algorithms	en
dc.subject.other	Computational methods	en
dc.subject.other	Finite element method	en
dc.subject.other	Interactive computer graphics	en
dc.subject.other	Problem solving	en
dc.subject.other	Sensitivity analysis	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Structural design	en
dc.subject.other	Image processing	en
dc.subject.other	Optimization	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Topology	en
dc.subject.other	Lanczos algorithms	en
dc.subject.other	Preconditioned conjugate gradient (PCG) algorithms	en
dc.subject.other	Shape sensitivity analysis	en
dc.subject.other	Topology optimization	en
dc.subject.other	Shape optimization method	en
dc.subject.other	Topology optimization method	en
dc.subject.other	Computer aided design	en
dc.title	Advanced solution methods in topology optimization and shape sensitivity analysis	en
heal.type	journalArticle	en
heal.identifier.primary	10.1108/02644409610120696	en
heal.identifier.secondary	http://dx.doi.org/10.1108/02644409610120696	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	Investigates the efficiency of hybrid solution methods when incorporated into large-scale topology and shape optimization problems and to demonstrate their influence on the overall performance of the optimization algorithms. Implements three innovative solution methods based on the preconditioned conjugate gradient (PCG) and Lanczos algorithms. The first method is a PCG algorithm with a preconditioner resulted from a complete or an incomplete Cholesky factorization, the second is a PCG algorithm in which a truncated Neumann series expansion is used as preconditioner, and the third is a preconditioned Lanczos algorithm properly modified to treat multiple right-hand sides. The numerical tests presented demonstrate the computational advantages of the proposed methods which become more pronounced in large-scale and/or computationally intensive optimization problems.	en
heal.publisher	MCB UNIV PRESS LTD	en
heal.journalName	Engineering Computations (Swansea, Wales)	en
dc.identifier.doi	10.1108/02644409610120696	en
dc.identifier.isi	ISI:A1996WC14700004	en
dc.identifier.volume	13	en
dc.identifier.issue	5	en
dc.identifier.spage	57	en
dc.identifier.epage	90	en