| Autor: |
Scott, M.A., Borden, M.J., Verhoosel, C.V., Sederberg, T.W., Hughes, T.J.R. |
| Jazyk: |
angličtina |
| Rok vydání: |
2011 |
| Zdroj: |
International Journal for Numerical Methods in Engineering, 88(2), 126-156. Wiley |
| ISSN: |
0029-5981 |
| Popis: |
We develop finite element data structures for T-splines based on Bézier extraction generalizing our previous work for NURBS. As in traditional finite element analysis, the extracted Bézier elements are defined in terms of a fixed set of polynomial basis functions, the so-called Bernstein basis. The Bézier 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, all other aspects of a finite element program remaining 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. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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