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Parallel Node-based Local Tetrahedral Mesh Generation

Y.F. Nie, Y.Q. Li, L. Wang

Computer Modeling in Engineering & Sciences 2012, 83(6), 575-598. https://doi.org/10.3970/cmes.2012.083.575

Abstract

In this paper, we introduce the parallel Node-based Local FEM (NLFEM)-a novel version of FEM with natural parallel performances and adaptivity to various complex parallel environments. As a crucial part of 3D NLFEM, the Node-based Local Tetrahedron Mesh Generation (NLTMG) algorithm is presented, where guaranteeing the global conformity of local meshes is a strategy of ensuring the validity of the NLFEM and decoupling the NLFEM. In order to generate conforming local mesh, we search the neighbor nodes by the neighborhood of a corresponding multilevel bucket and then those nodes are Delaunay tetrahedralized by the TetGen. Accordingly, we prove that the global conformity of local mesh should be guaranteed if the maximum of nodes' numerical in a bucket, denoted by P, meets the following condition: P > l*V\qopname \relax mmax, where Vmax is the maximum of nodes' number connected with a node in the Delaunay tetrahedralization of the overall nodes set. Based on our experiments, estimates of l are provided.

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APA Style
Nie, Y., Li, Y., Wang, L. (2012). Parallel node-based local tetrahedral mesh generation. Computer Modeling in Engineering & Sciences, 83(6), 575-598. https://doi.org/10.3970/cmes.2012.083.575
Vancouver Style
Nie Y, Li Y, Wang L. Parallel node-based local tetrahedral mesh generation. Comput Model Eng Sci. 2012;83(6):575-598 https://doi.org/10.3970/cmes.2012.083.575
IEEE Style
Y. Nie, Y. Li, and L. Wang, “Parallel Node-based Local Tetrahedral Mesh Generation,” Comput. Model. Eng. Sci., vol. 83, no. 6, pp. 575-598, 2012. https://doi.org/10.3970/cmes.2012.083.575



cc Copyright © 2012 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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