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Approximation of immersed surfaces into a tetrahedral mesh generated by the meccano method

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hdl:2117/114328

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Socorro Marrero, Guillermo Valentín
Oliver Serra, AlbertMés informació
Ruiz Gironès, Eloi
Cascón Barbero, José Manuel
Rodriguez Barrera, Eduardo
Escobar Sánchez, José M.
Montenegro Armas, Rafael
Sarrate Ramos, JosepMés informacióMés informacióMés informació
Document typeConference report
Defense date2017
Rights accessRestricted access - publisher's policy
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
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.
CitationSocorro, G., Oliver , A., Ruiz Gironès , E., Cascón, J., Rodriguez, E., Escobar, J.M., Montenegro, R., Sarrate, J. Approximation of immersed surfaces into a tetrahedral mesh generated by the meccano method. A: Congreso de Ecuaciones Diferenciales y Aplicaciones. Congreso de Matemática Aplicada. "XXV Congreso de Ecuaciones Diferenciales y Aplicaciones / XV Congreso de Matemática Aplicada: Cartagena, Murcia, España: junio 26-30, 2017: libro de actas". Cartagena: 2017, p. 1-6. 
URIhttp://hdl.handle.net/2117/114328
ISBN978-84-944402-1-2
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  • Departament d'Enginyeria Civil i Ambiental - Ponències/Comunicacions de congressos [1.066]
  • LaCàN - Mètodes Numèrics en Ciències Aplicades i Enginyeria - Ponències/Comunicacions de congressos [145]
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