Explicit formulas for energy evaluations of B-spline surfaces

被引：0

作者：

机构：

[1] School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou

[2] Department of CISE, University of Florida, Gainesville, 32611, FL

[3] School of Science, East China University of Science and Technology, Shanghai

来源：

Lu, Lizheng | 1600年 / Binary Information Press卷 / 11期

基金：

中国国家自然科学基金;

关键词：

B-splines; Internal energy; Quadrature; Stiffness matrix;

D O I：

10.12733/jics20104491

中图分类号：

学科分类号：

摘要：

We derive explicit formulas for the exact integration of the product of B-spline basis functions, which are further used to calculate the stiffness matrix of B-spline surfaces. Based on the fact that the B-spline product can be expressed as a linear combination of high degree B-spline basis functions, we obtain the exact integration that depends only on the knot vector and shares parallel computing capability. Numerical experiments show that our method has high levels of accuracy slightly better than Gaussian quadrature, but with more operations required. Furthermore, the computation time can be greatly reduced by avoiding repeated computations. Copyright © 2014 Binary Information Press.

引用

页码：4679 / 4686

页数：7

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