Fast smoothing of mixed volume meshes based on the effective geometric element transformation method

Vartziotis, D; Wipper, J

dc.contributor.author	Vartziotis, D	en
dc.contributor.author	Wipper, J	en
dc.date.accessioned	2014-03-01T02:09:00Z
dc.date.available	2014-03-01T02:09:00Z
dc.date.issued	2012	en
dc.identifier.issn	00457825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29771
dc.subject	Finite element mesh	en
dc.subject	GETMe	en
dc.subject	Hybrid mesh	en
dc.subject	Mesh quality	en
dc.subject	Mesh smoothing	en
dc.subject	Mixed mesh	en
dc.subject.other	Finite element meshes	en
dc.subject.other	GETMe	en
dc.subject.other	Hybrid meshes	en
dc.subject.other	Mesh quality	en
dc.subject.other	Mesh smoothing	en
dc.subject.other	Mixed mesh	en
dc.subject.other	Finite element method	en
dc.subject.other	Geometry	en
dc.subject.other	Global optimization	en
dc.subject.other	Mathematical transformations	en
dc.title	Fast smoothing of mixed volume meshes based on the effective geometric element transformation method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cma.2011.09.008	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2011.09.008	en
heal.publicationDate	2012	en
heal.abstract	The geometric element transformation method (GETMe) is an efficient geometry driven approach to mesh smoothing. It is based on regularizing element transformations which, if applied iteratively to a single element, improve its regularity and with this its quality. The smoothing method has already successfully been applied in the case of mixed surface meshes as well as all-tetrahedral and all-hexahedral meshes. In this paper, a GETMe-based approach for smoothing mixed volume meshes is presented. For this purpose, dual element-based regularizing transformations for tetrahedral, hexahedral, pyramidal, and prismatic elements are introduced and analyzed. Furthermore, it is shown that the general concept of GETMe smoothing also applies to mixed volume meshes requiring only minor modifications. Numerical results demonstrate that high quality meshes comparable to those obtained by a state of the art global optimization-based approach can be achieved within significantly shorter runtimes. © 2011 Elsevier B.V.	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/j.cma.2011.09.008	en
dc.identifier.volume	201-204	en
dc.identifier.spage	65	en
dc.identifier.epage	81	en