An adaptive numerical integration algorithm for polygons

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• 作者：Chong-Jun Li ; Catterina Dagnino
• 关键词：Adaptive algorithm ; Numerical cubature ; Spline finite element ; Convergence ; Triangulated quadrangulation
• 刊名：Applied Numerical Mathematics
• 出版年：2010
• 出版时间：March 2010
• 年：2010
• 卷：60
• 期：3
• 页码：165-175
• 全文大小：2897 K

文摘

In this paper an adaptive numerical integration algorithm for polygons is constructed by cubatures based on finite quadrilateral elements, with particular reference to an 8-node spline finite element. Some numerical examples are given to evaluate the performance of the proposed algorithm, combined with several cubatures with accuracy of order two. The results are also compared with those obtained by two cubatures based on triangulation and a recent method based on the Green's integral formula and Gaussian rules.