کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
499005 | 863022 | 2010 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Efficient quadrature for NURBS-based isogeometric analysis Efficient quadrature for NURBS-based isogeometric analysis](/preview/png/499005.png)
We initiate the study of efficient quadrature rules for NURBS-based isogeometric analysis. A rule of thumb emerges, the “half-point rule”, indicating that optimal rules involve a number of points roughly equal to half the number of degrees-of-freedom, or equivalently half the number of basis functions of the space under consideration. The half-point rule is independent of the polynomial order of the basis. Efficient rules require taking into account the precise smoothness of basis functions across element boundaries. Several rules of practical interest are obtained, and a numerical procedure for determining efficient rules is presented.We compare the cost of quadrature for typical situations arising in structural mechanics and fluid dynamics. The new rules represent improvements over those used previously in isogeometric analysis.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 199, Issues 5–8, 1 January 2010, Pages 301–313