Optimal Triangular Mesh Generation by Coordinate Transformation
Optimal Triangular Mesh Generation by Coordinate Transformation
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DOI：
10.1137/0912040
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发表时间：
1991-05
期刊：
影响因子：
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通讯作者：
E. D'Azevedo
中科院分区：
文献类型：
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作者：
E. D'Azevedo
本文介绍了动机和建设的坐标变换，产生最佳效率的网格线性插值。坐标变换是从微分几何中表征“平坦”空间的结果导出的。最优性结果证明了一些数值例子。PLTMG生成的自适应网格[R. E.银行，PLTMG：A Software Package for Solving Elliptic Partial Differential Equations，Society for Industrial and Applied Mathematics，Philadelphia，PA，1990]中的一个软件包进行比较。本文认为，坐标变换是研究有限元分析中更复杂的网格优化问题的一种很有前途的方法。
This paper presents the motivation for and construction of coordinate transformations that generate optimally efficient meshes for linear interpolation. The coordinate transformations are derived from a result in differential geometry characterizing a “flat” space. The optimality results are demonstrated for some numerical examples. Adaptive meshes produced by PLTMG [R. E. Bank, PLTMG: A Software Package for Solving Elliptic Partial Differential Equations, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1990] are included for comparison. The paper concludes that coordinate transformation is a promising strategy for investigation into more complex optimal meshing problems in finite element analysis.