TY  - EJOU
AU  - Xiang-YangLi, 
AU  - Teng, Shang-Hua 
AU  - Wan, Peng-Jun 

TI  - To Generate Good Triangular Meshes, Conforming to Control Spacing Requirements
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2001
VL  - 2
IS  - 1
SN  - 1526-1506

AB  - To conduct numerical simulations by finite element methods, we often need to generate a high quality mesh, yet with a smaller number of elements. Moreover, the size of each of the elements in the mesh should be approximately equal to a given size requirement. Li <i>et al</i>. recently proposed a new method, named <i>biting</i>, which combines the strengths of advancing front and sphere packing. It generates high quality meshes with a theoretical guarantee. In this paper, we show that biting squares instead of circles not only generates high quality meshes but also has the following advantages. It is easier to generate high quality elements near the boundary with theoretical guarantee; it is very efficient time-wise; in addition, it is easier to implement. Furthermore, it provides simple and straightforward boundary protections in three dimensions.
KW  - Unstructured mesh generation
KW  -  advancing front
KW  -  biting
KW  -  sphere packing
KW  -  spacing function

DO  - 10.3970/cmes.2001.002.097