有限单元法的非结构化网格及其自动生成

本文介绍了有限单元法非结构化网格的基本原理及其自动形成方法。由于有限元法是一种离散的数值求解方法，其近似求解方法的精确度，很大程度上取决于所形成网格的质量。另外，对于工程中一些形状复杂的问题，一般的网格生成方法很难对其进行离散。非结构化网格及其自动生成，使复杂形状的工程问题容易地进行离散，改善所形成网格的质量，提高近似计算的精确度，并且在有限元网格修正自适应分析中具有重要作用。

Unstructured Mesh of Finite Element Method and Automatic Mesh Generation

This paper describes the principle of unstructured mesh of finite element method and automaticmesh generation. Since the finite element method is one of numerical methods by discretization, the accuracyof its approximate solution directly depends on what a mesh it generates. It is difficult to generate a complicatedly shaped domain for discretization in some engineering problems. The unstructured mesh with automatic mesh generation plays an important part in the discretization of complicatedly shaped domains so as to improve the mesh quality and the accuracy of approximate solution, as well as an adaptive mesh refinement tothe finite element method.