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A new least-squares approximation of affine mappings for sweep algorithms
dc.contributor.author | Roca Navarro, Francisco Javier |
dc.contributor.author | Sarrate Ramos, Josep |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2015-11-18T19:16:54Z |
dc.date.available | 2015-11-18T19:16:54Z |
dc.date.issued | 2010-06 |
dc.identifier.citation | Roca, X., Sarrate, J., Huerta, A. A new least-squares approximation of affine mappings for sweep algorithms. "Engineering with computers", Juny 2010, vol. 26, núm. 3, p. 327-337. |
dc.identifier.issn | 0177-0667 |
dc.identifier.uri | http://hdl.handle.net/2117/79451 |
dc.description | The final publication is available at Springer via http://dx.doi.org/10.1007/s00366-009-0161-2 |
dc.description.abstract | This paper presents a new algorithm to generate hexahedral meshes in extrusion geometries. Several algorithms have been devised to generate hexahedral meshes by projecting the cap surfaces along a sweep path. In all of these algorithms the crucial step is the placement of the inner layer of nodes. That is, the projection of the source surface mesh along the sweep path. From the computational point of view, sweep methods based on a least-squares approximation of an affine mapping are the fastest alternative to compute these projections. Several functionals have been introduced to perform the least-squares approximation. However, for very simple and typical geometrical configurations they may generate low-quality projected meshes. For instance, they may induce skewness and flattening effects on the projected discretizations. In addition, for these configurations the minimization of these functionals may lead to a set of normal equations with singular system matrix. In this work we analyze previously defined functionals. Based on this analysis we propose a new functional and show that its minimization overcomes these drawbacks. Finally, we present several examples to assess the properties of the proposed functional. |
dc.format.extent | 11 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Finite element method--Mathematical models |
dc.subject.lcsh | Least squares |
dc.subject.other | Finite element method |
dc.subject.other | Mesh generation |
dc.subject.other | Hexahedral elements |
dc.subject.other | Sweep |
dc.subject.other | Node projection |
dc.subject.other | Affine mapping |
dc.title | A new least-squares approximation of affine mappings for sweep algorithms |
dc.type | Article |
dc.subject.lemac | Mínims quadrats |
dc.subject.lemac | Elements finits, Mètode dels |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1007/s00366-009-0161-2 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://link.springer.com/article/10.1007%2Fs00366-009-0161-2 |
dc.rights.access | Open Access |
local.identifier.drac | 2093886 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Roca, X.; Sarrate, J.; Huerta, A. |
local.citation.publicationName | Engineering with computers |
local.citation.volume | 26 |
local.citation.number | 3 |
local.citation.startingPage | 327 |
local.citation.endingPage | 337 |
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