کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1140599 1489417 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mesh generation for FEM based on centroidal Voronoi tessellations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Mesh generation for FEM based on centroidal Voronoi tessellations
چکیده انگلیسی

Centroidal Voronoi tessellations (CVTs) are very useful in a variety of applications, which can be used in triangular or tetrahedral mesh generations. There are several algorithms for determining CVTs, including MacQueen's method, Lloyd's method, and generalized probabilistic Lloyd's method. The latter is a combination of MacQueen's method and Lloyd's method, which is thought to be one of the most efficient methods to determine high-quality CVTs without the need to explicitly construct Voronoi diagrams. However, the convergence of these methods is difficult to achieve, since they are inclined to be trapped at local minima of cost functional. In this paper, simulated annealing (SA) is introduced to overcome this problem, which is applied to make mesh generation in domains including convex domains, a concaved domain, a multi-connected domain, and a circular domain. The efficiency of this method, and 2-D and 3-D mesh generations are successfully verified through examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 97, March 2014, Pages 68–79
نویسندگان
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