Title:
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Approximation of immersed surfaces into a tetrahedral mesh generated by the meccano method
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Author:
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Socorro Marrero, Guillermo Valentín; Oliver Serra, Albert; Ruiz Gironès, Eloi; Cascón Barbero, José Manuel; Rodriguez Barrera, Eduardo; Escobar Sánchez, José M.; Montenegro Armas, Rafael; Sarrate Ramos, Josep
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
Abstract:
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In this paper, we present a new method to insert open surfaces into an existing tetrahedral mesh generated by the meccano method. The surfaces must be totally immersed in the mesh and must not intersect between them. The strategy includes a mesh re¿nement to obtain an initial approximation of each surface capturing its geometric features, the projection of the nodes from the approximation onto the actual surface, and the mesh optimization. The proposed method provides a high-quality conformal mesh with interpolations of the inserted surfaces. These approximations are suitable for operations where roughness is a major problem and a smoother solution is required, such as the estimation of normal vectors or the imposition of Neumann conditions. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització -Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica -Operations research -Difference equations--Numerical solutions -Meccano mesh -Kossaczký re¿nement -surface parameterization -simultaneous untangling and smoothing -element quality. -Investigació operativa -Equacions diferencials--solucions numèriques -Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science -Classificació AMS::65 Numerical analysis::65L Ordinary differential equations |
Rights:
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Document type:
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Article - Submitted version Conference Object |
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