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Isogeometric finite element data structures based on Bézier extraction of T-splines
| Content Provider | Semantic Scholar |
|---|---|
| Author | Scott, Michael A. Borden, Michael J. Verhoosel, Cv Clemens Sederberg, Thomas W. Hughes, Thomas J. R. |
| Copyright Year | 2011 |
| Abstract | We develop finite element data structures for T-splines based on Bezier extraction generalizing our previous work for NURBS. As in traditional finite element analysis, the extracted Bezier elements are defined in terms of a fixed set of polynomial basis functions, the so-called Bernstein basis. The Bezier elements may be processed in the same way as in a standard finite element computer program, utilizing exactly the same data processing arrays. In fact, only the shape function subroutine needs to be modified while all other aspects of a finite element program remain the same. A byproduct of the extraction process is the element extraction operator. This operator localizes the topological and global smoothness information to the element level, and represents a canonical treatment of T-junctions, referred to as ‘hanging nodes’ in finite element analysis and a fundamental feature of T-splines. A detailed example is presented to illustrate the ideas. Copyright © 2011 John Wiley & Sons, Ltd. |
| Starting Page | 126 |
| Ending Page | 156 |
| Page Count | 31 |
| File Format | PDF HTM / HTML |
| DOI | 10.1002/nme.3167 |
| Volume Number | 88 |
| Alternate Webpage(s) | https://www.oden.utexas.edu/media/reports/2010/1045.pdf |
| Alternate Webpage(s) | https://doi.org/10.1002/nme.3167 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
