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Title: Strategies for optimization of hexahedral meshes and their comparative study
Authors: López González, José Iván 
Brovka, Marina 
Escobar Sánchez, José María 
Montenegro Armas, Rafael 
Socorro Marrero, Guillermo V. 
UNESCO Clasification: 3314 Tecnología médica
Keywords: Hexahedral meshes
Mesh optimization
Mesh untangling
Issue Date: 2017
Project: Integración de Nuevas Metodologías en Simulación de Campos de Viento, Radiación Solar y Calidad Del Aire 
Journal: Engineering with Computers 
Abstract: In this work, we study several strategies based on different objective functions for optimization of hexahedral meshes. We consider two approaches to construct objective functions. The first one is based on the decomposition of a hexahedron into tetrahedra. The second one is derived from the Jacobian matrix of the trilinear mapping between the reference and physical hexahedral element. A detailed description of all proposed strategies is given in the present work. Some computational experiments have been developed to test and compare the untangling capabilities of the considered objective functions. In the experiments, a sample of highly distorted hexahedral elements is optimized with the proposed objective functions, and the rate of success of each function is obtained. The results of these experiments are presented and analyzed.
ISSN: 0177-0667
DOI: 10.1007/s00366-016-0454-1
Source: Engineering with Computers [ISSN 0177-0667], v. 33, p. 33-43, (Enero 2017)
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