Please use this identifier to cite or link to this item:
http://hdl.handle.net/10553/115062
DC Field | Value | Language |
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dc.contributor.author | Montenegro Armas, Rafael | en_US |
dc.contributor.author | Cascón, J. M | en_US |
dc.contributor.author | Escobar Sánchez, José M | en_US |
dc.contributor.author | Rodríguez Barrera, Eduardo Miguel | en_US |
dc.contributor.author | Montero García, Gustavo | en_US |
dc.date.accessioned | 2022-06-09T12:04:04Z | - |
dc.date.available | 2022-06-09T12:04:04Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.uri | http://hdl.handle.net/10553/115062 | - |
dc.description.abstract | We 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.language | eng | en_US |
dc.relation.ispartof | Book of Abstracts of the Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2010) | en_US |
dc.subject | 12 Matemáticas | en_US |
dc.subject | 120326 Simulación | en_US |
dc.subject.other | Tetrahedral mesh generation | en_US |
dc.subject.other | Adaptive refinement | en_US |
dc.subject.other | Nested meshes | en_US |
dc.subject.other | Mesh untangling and smoothing | en_US |
dc.subject.other | Surface and volume parametrization | en_US |
dc.title | Simultaneous volume parametrization and adaptive tetrahedral mesh generation with the Meccano method | en_US |
dc.type | info:eu-repo/semantics/conferenceobject | en_US |
dc.type | ConferenceObject | en_US |
dc.relation.conference | Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2010) | en_US |
dc.relation.volume | 3 | en_US |
dc.investigacion | Ingeniería y Arquitectura | en_US |
dc.type2 | Actas de congresos | en_US |
dc.utils.revision | Sí | en_US |
dc.date.coverdate | 2010 | en_US |
dc.identifier.ulpgc | Sí | en_US |
dc.contributor.buulpgc | BU-ING | en_US |
item.fulltext | Con texto completo | - |
item.grantfulltext | open | - |
crisitem.author.dept | GIR SIANI: Modelización y Simulación Computacional | - |
crisitem.author.dept | IU Sistemas Inteligentes y Aplicaciones Numéricas | - |
crisitem.author.dept | Departamento de Matemáticas | - |
crisitem.author.dept | GIR SIANI: Modelización y Simulación Computacional | - |
crisitem.author.dept | IU Sistemas Inteligentes y Aplicaciones Numéricas | - |
crisitem.author.dept | Departamento de Señales y Comunicaciones | - |
crisitem.author.dept | GIR SIANI: Modelización y Simulación Computacional | - |
crisitem.author.dept | IU Sistemas Inteligentes y Aplicaciones Numéricas | - |
crisitem.author.dept | Departamento de Informática y Sistemas | - |
crisitem.author.dept | GIR SIANI: Modelización y Simulación Computacional | - |
crisitem.author.dept | IU Sistemas Inteligentes y Aplicaciones Numéricas | - |
crisitem.author.dept | Departamento de Matemáticas | - |
crisitem.author.orcid | 0000-0002-4164-457X | - |
crisitem.author.orcid | 0000-0002-8608-7076 | - |
crisitem.author.orcid | 0000-0002-2701-2971 | - |
crisitem.author.orcid | 0000-0001-5641-442X | - |
crisitem.author.parentorg | IU Sistemas Inteligentes y Aplicaciones Numéricas | - |
crisitem.author.parentorg | IU Sistemas Inteligentes y Aplicaciones Numéricas | - |
crisitem.author.parentorg | IU Sistemas Inteligentes y Aplicaciones Numéricas | - |
crisitem.author.parentorg | IU Sistemas Inteligentes y Aplicaciones Numéricas | - |
crisitem.author.fullName | Montenegro Armas, Rafael | - |
crisitem.author.fullName | Escobar Sánchez, José M | - |
crisitem.author.fullName | Rodríguez Barrera, Eduardo Miguel | - |
crisitem.author.fullName | Montero García, Gustavo | - |
Appears in Collections: | Actas de congresos |
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