Application of Harmonic Ana-lysis in Automatic Mesh Generation for FEM

Zheng Hong; Ge Xiurun

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Application of Harmonic Ana-lysis in Automatic Mesh Generation for FEM

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- Application of Harmonic Ana-lysis in Automatic Mesh Generation for FEM
- Vol. 12, Issue 2, (1991)
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- Online First：15 February 1991，
  
  Published：1991
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Zheng Hong, Ge Xiurun. Application of Harmonic Ana-lysis in Automatic Mesh Generation for FEM[J]. 1991, 12(2).
DOI：

Zheng Hong, Ge Xiurun. Application of Harmonic Ana-lysis in Automatic Mesh Generation for FEM[J]. 1991, 12(2). DOI：

摘要

本文先以调和函数建立起参考域和物理域之间的映射

并把这种映射拓广到了三角形域间的变换。然后通过有限单元法求解两个Dirichlet问题的数值解来给出物理域中各节点的坐标值。最后详述了如何根据各子域间的拓扑关系

将这些子域拼装成一个可含有节理或空洞的真实域。文中给出了程序框图和若个算例。

Abstract

In this paper

the mapping between reference region and physical region is built in advance by harmonic function

and which is extended to the transformation between triangular regions. Then all of the nodal coordinates in physical region are obtained by the numerical solutions of two Dirichlet’s problems through F.E.A. Finally

it is detailed that some sub-regions are combined a real region with joints or holes

according to their top logic relationships. The flow-chart of program and calculating examples are given in this paper.

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