کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
498454 | 862995 | 2011 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A hierarchical approach to adaptive local refinement in isogeometric analysis A hierarchical approach to adaptive local refinement in isogeometric analysis](/preview/png/498454.png)
Adaptive local refinement is one of the key issues in isogeometric analysis. In this article we present an adaptive local refinement technique for isogeometric analysis based on extensions of hierarchical B-splines. We investigate the theoretical properties of the spline space to ensure fundamental properties like linear independence and partition of unity. Furthermore, we use concepts well-established in finite element analysis to fully integrate hierarchical spline spaces into the isogeometric setting. This also allows us to access a posteriori error estimation techniques. Numerical results for several different examples are given and they turn out to be very promising.
► We present hierarchical adaptive local refinements for isogeometric analysis.
► The theoretical properties of the spline space ensure key requirements.
► The hierarchical spline spaces are fully integrated into the isogeometric setting.
► Promising numerical results are given.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 200, Issues 49–52, 1 December 2011, Pages 3554–3567