文献类型：期刊文献

英文题名：Explicit formulas for energy evaluations of B-spline surfaces

作者：Lu, Lizheng[1]; Nguyen, Thien T.[2]; Zhao, Hongqing[3]

机构：[1] School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, China; [2] Department of CISE, University of Florida, Gainesville, FL, United States; [3] School of Science, East China University of Science and Technology, Shanghai, China

年份：2014

卷号：11

期号：13

起止页码：4679

外文期刊名：Journal of Information and Computational Science

收录：EI(收录号：20144100087765)

语种：英文

外文关键词：Numerical methods - Interpolation - Stiffness - Functions

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.