Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/113715
Title: Simultaneous untangling and smoothing of tetrahedral meshes on distributed-memory parallel computers.
Authors: Benítez Díaz, Domingo Juan 
Escobar Sánchez, José María 
Montenegro Armas, Rafael 
Rodríguez Barrera, Eduardo Miguel 
UNESCO Clasification: 1206 Análisis numérico
120407 Geometrías finitas
Keywords: Discretización. Elementos Finitos, Optimización de Mallas
Issue Date: 2003
Journal: Computer Methods in Applied Mechanics and Engineering 
Abstract: The quality improvement in mesh optimisation techniques that preserve its connectivity are obtained by an iterative process in which each node of the mesh is moved to a new position that minimises a certain objective function. The objective function is derived from some quality measure of the local submesh, that is, the set of tetrahedra connected to the adjustable or free node. Although these objective functions are suitable to improve the quality of a mesh in which there are non-inverted elements, they are not when the mesh is tangled. This is due to the fact that usual objective functions are not defined on all and they present several discontinuities and local minima that prevent the use of conventional optimisation procedures. Otherwise, when the mesh is tangled, there are local submeshes for which the free node is out of the feasible region, or this does not exist. In this paper we propose the substitution of objective functions having barriers by modified versions that are defined and regular on all . With these modifications, the optimisation process is also directly applicable to meshes with inverted elements, making a previous untangling procedure unnecessary. This simultaneous procedure allows to reduce the number of iterations for reaching a prescribed quality. To illustrate the effectiveness of our approach, we present several applications where it can be seen that our results clearly improve those obtained by other authors.
URI: http://hdl.handle.net/10553/113715
URL: https://www.semanticscholar.org/paper/Simultaneous-untangling-and-smoothing-of-meshes-on-Benitez-Escobar/0e2523cd1932b01dbb17fc5b85784db95184920b
Appears in Collections:Actas de congresos
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