OPTIMAL TRIANGULAR MESH GENERATION BY COORDINATE TRANSFORMATION

被引：66

作者：

DAZEVEDO, EF ^{[1
]}

机构：

[1] UNIV WATERLOO,DEPT COMP SCI,WATERLOO N2L 3G1,ONTARIO,CANADA

来源：

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING | 1991年 / 12卷 / 04期

关键词：

OPTIMAL TRIANGULAR MESH; FUNCTION INTERPOLATION; COORDINATE TRANSFORMATION;

D O I：

10.1137/0912040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：755 / 786

页数：32

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