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dc.contributor.authorRoca Navarro, Francisco Javier
dc.contributor.authorSarrate Ramos, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationRoca, X., Sarrate, J. Least-squares approximation of affine mappings for sweep mesh generation. Functional analysis and applications. "Engineering with computers", Gener 2013, vol. 29, núm. 1, p. 1-15.
dc.description.abstractSweep methods are one of the most robust techniques to generate hexahedral meshes in extrusion volumes. The main issue in sweep algorithms is the projection of cap surface meshes along the sweep path. The most competitive technique to determine this projection is to find a least-squares approximation of an affine mapping. Several functional formulations have been defined to carry out this least-squares approximation. However, these functionals generate unacceptable meshes for several common geometries in CAD models. In this paper we present a new comparative analysis between these classical functional formulations and a new functional presented by the authors. In particular, we prove under which conditions the minimization of the analyzed functionals leads to a full rank linear system. Moreover, we also prove the equivalences between these formulations. These allow us to point out the advantages of the proposed functional. Finally, from this analysis we outline an automatic algorithm to compute the nodes location in the inner layers.
dc.format.extent15 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshNumerical analysis
dc.subject.otherFinite element method Mesh generation Hexahedral elements Sweep Affine mapping
dc.titleLeast-squares approximation of affine mappings for sweep mesh generation. Functional analysis and applications
dc.subject.lemacAnàlisi numèrica
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65Y Computer aspects of numerical algorithms
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
local.citation.authorRoca, X.; Sarrate, J.
local.citation.publicationNameEngineering with computers

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