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第十届全国工程计算方法学术会议暨GCWCOME2012

作者： J.X.Hu X.W.Gao State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology

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.

关键词： complex-variable differentiation method isogeometric analysis NURBS B-spline h-refinement point inversion

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Development of complex-variable differentiation method and its application in isogeometric analysis

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AUSTRALIAN JOURNAL OF MECHANICAL ENGINEERING 2013年第1期11卷 37-43页

作者： Hu, J. X. Gao, X. W. Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Dalian Peoples R China

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 the 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 the derived formulations in the paper is correct and the computation of derivatives using CVDM in isogeometric analysis is much simpler than using the traditional NURBS derivative formula.

关键词： complex-variable differentiation method isogeometric analysis NURBS B-spline h-refinement point inversion

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