Recent progress in robust and quality Delaunay mesh generation

Recent progress in robust and quality Delaunay mesh generation
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DOI:
10.1016/j.cam.2005.07.014
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发表时间:
2006-10-15
影响因子:
2.4
通讯作者:
Wang, Desheng
Wang, Desheng
中科院分区:
数学2区
文献类型:
--
作者:
Du, Qiang;Wang, Desheng

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在本文中,解决了 Delaunay 网格生成和优化的一些当前问题,特别强调网格划分过程的鲁棒性和生成网格的质量。我们还报告了在三个维度上稳健一致和约束边界恢复以及基于质心 Voronoi 曲面细分的质量网格生成方面的新进展。讨论了微分方程数值求解的应用以及与其他软件的集成,包括对联合网格和求解器自适应策略的简要讨论。 (c) 2005 Elsevier B.V. 保留所有权利。
In this paper, some current issues of Delaunay mesh generation and optimization are addressed, with particular emphasis on the robustness of the meshing procedure and the quality of the resulting mesh. We also report new progress on the robust conforming and constrained boundary recovery in three dimensions, along with the quality mesh generation based on Centroidal Voronoi tessellations. Applications to the numerical solution of differential equations and integrations with other softwares are discussed, including a brief discussion on the joint mesh and solver adaptation strategy. (c) 2005 Elsevier B.V. All rights reserved.