Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/115062
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dc.contributor.authorMontenegro Armas, Rafaelen_US
dc.contributor.authorCascón, J. Men_US
dc.contributor.authorEscobar Sánchez, José Men_US
dc.contributor.authorRodríguez Barrera, Eduardo Miguelen_US
dc.contributor.authorMontero García, Gustavoen_US
dc.date.accessioned2022-06-09T12:04:04Z-
dc.date.available2022-06-09T12:04:04Z-
dc.date.issued2010en_US
dc.identifier.urihttp://hdl.handle.net/10553/115062-
dc.description.abstractWe have recently introduced the meccano technique for constructing adaptive tetrahedral meshes of solids. The method requires a surface triangulation of the solid, a meccano and a tolerance that fixes the desired approximation of the solid surface. The name of the method stems from the fact that the process starts from an outline of the solid, i.e. a meccano composed by connected polyhedral pieces. The method builds a 3-D triangulation of the solid as a deformation of an appropriate tetrahedral mesh of the meccano. The main idea of the new mesh generator is to combine an automatic parametrization of surface triangulations, a local refinement algorithm for 3-D nested triangulations and a simultaneous untangling and smoothing procedure. In this paper, we present significant advances in the method. Specifically, we describe the procedure for a solid whose boundary is a surface of genus 0; i.e. a surface that is homeomorphic to the surface of a sphere. In this case, the meccano is a single cube, and we define an automatic parametrization of a solid surface triangulation to the meccano boundary such that the global mapping is the combination of six patch-mapping. A crucial consequence of our technique is the volume parametrization of a complex solid to a cube. The efficiency of the proposed technique is shown with several applications.en_US
dc.languageengen_US
dc.relation.ispartofBook of Abstracts of the Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2010)en_US
dc.subject12 Matemáticasen_US
dc.subject120326 Simulaciónen_US
dc.subject.otherTetrahedral mesh generationen_US
dc.subject.otherAdaptive refinementen_US
dc.subject.otherNested meshesen_US
dc.subject.otherMesh untangling and smoothingen_US
dc.subject.otherSurface and volume parametrizationen_US
dc.titleSimultaneous volume parametrization and adaptive tetrahedral mesh generation with the Meccano methoden_US
dc.typeinfo:eu-repo/semantics/conferenceobjecten_US
dc.typeConferenceObjecten_US
dc.relation.conferenceThird Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2010)en_US
dc.relation.volume3en_US
dc.investigacionIngeniería y Arquitecturaen_US
dc.type2Actas de congresosen_US
dc.utils.revisionen_US
dc.date.coverdate2010en_US
dc.identifier.ulpgcen_US
dc.contributor.buulpgcBU-INGen_US
item.fulltextCon texto completo-
item.grantfulltextopen-
crisitem.author.deptGIR SIANI: Modelización y Simulación Computacional-
crisitem.author.deptIU Sistemas Inteligentes y Aplicaciones Numéricas-
crisitem.author.deptDepartamento de Matemáticas-
crisitem.author.deptGIR SIANI: Modelización y Simulación Computacional-
crisitem.author.deptIU Sistemas Inteligentes y Aplicaciones Numéricas-
crisitem.author.deptDepartamento de Señales y Comunicaciones-
crisitem.author.deptGIR SIANI: Modelización y Simulación Computacional-
crisitem.author.deptIU Sistemas Inteligentes y Aplicaciones Numéricas-
crisitem.author.deptDepartamento de Informática y Sistemas-
crisitem.author.deptGIR SIANI: Modelización y Simulación Computacional-
crisitem.author.deptIU Sistemas Inteligentes y Aplicaciones Numéricas-
crisitem.author.deptDepartamento de Matemáticas-
crisitem.author.orcid0000-0002-4164-457X-
crisitem.author.orcid0000-0002-8608-7076-
crisitem.author.orcid0000-0002-2701-2971-
crisitem.author.orcid0000-0001-5641-442X-
crisitem.author.parentorgIU Sistemas Inteligentes y Aplicaciones Numéricas-
crisitem.author.parentorgIU Sistemas Inteligentes y Aplicaciones Numéricas-
crisitem.author.parentorgIU Sistemas Inteligentes y Aplicaciones Numéricas-
crisitem.author.parentorgIU Sistemas Inteligentes y Aplicaciones Numéricas-
crisitem.author.fullNameMontenegro Armas, Rafael-
crisitem.author.fullNameEscobar Sánchez, José M-
crisitem.author.fullNameRodríguez Barrera, Eduardo Miguel-
crisitem.author.fullNameMontero García, Gustavo-
Appears in Collections:Actas de congresos
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