Generate mesh with shape parameters

作     者：HAN Jing HAN Xuli 

作者机构：School of Mathematics and StatisticsCentral South University 

基　　金：Supported by National Natural Science Foundation of China(No.60970097 No.11271376) 

出 版 物：《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造（英文版）)

年 卷 期：2013年第23卷第1期

页      码：36-40页

摘      要：In CAD/CAM, mesh rather than smooth surface is only needed sometimes. A mesh-generating method from permanence principle of Coons patch is developed. A new mesh point is defined through local small subpatch and all mesh points are computed by a linear system with special symmetric block tridiagonal coefficient matrix. By simplification, the determinant of coefficient matrix is determined by determinants of submatrices. Condition of existence of solution is given. Whether coefficient matrix is singular can be judged by a simple polynomial function with the eigenvalue of submatrix as variable. Numerical examples demonstrate the effects of shape parameters.

主 题 词：Coons patches mesh symmetric block tridiagonal matrix shape parameter 

学科分类：081203[081203] 08[工学] 0835[0835] 0812[工学-测绘类] 

D　O　I：10.19583/j.1003-4951.2013.01.007

馆 藏 号：203550518...