Development of Complex-variable Differentiation Method and its Application in Isogeometric Analysis
The Complex-variable differentiation method (CVDM) is a very promising method to compute derivatives of complicated functions and is free from cancellation errors which often occur in the finite difference method. In this paper, CVDM is developed for the two-variable situation and is first applied to isogeometric analysis method in which the computation of derivatives of rational functions represented by Non-Uniform Rational B-Splines (NURBS) method is very complicated. An example about h-refinement is given and the computational results show that CVDM in isogeometric analysis is correct and much simpler than using the traditional NURBS derivative formula.
Complex-variable differentiation method isogeometric analysis NURBS B-spline h-refinement point inversion
J.X. Hu X.W. Gao
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology,Dalian ,116024, China
国际会议
长沙
英文
1-8
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）