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Isogeometric finite element data structures based on Bézier extraction of T-splines

Scott, Michael A. ; Borden, Michael J. ; Verhoosel, Clemens V. ; Sederberg, Thomas W. ; Hughes, Thomas J. R.

International journal for numerical methods in engineering, 2011-10, Vol.88 (2), p.126-156 [Periódico revisado por pares]

Chichester, UK: John Wiley & Sons, Ltd

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Título:
Isogeometric finite element data structures based on Bézier extraction of T-splines
Autor: Scott, Michael A. ; Borden, Michael J. ; Verhoosel, Clemens V. ; Sederberg, Thomas W. ; Hughes, Thomas J. R.
Assuntos: Applied sciences ; Arrays ; Bezier ; Byproducts ; Bézier extraction ; Computational techniques ; Computer aided design ; Computer science; control theory; systems ; Data structures ; Exact sciences and technology ; Extraction ; Finite element method ; finite elements ; Finite-element and galerkin methods ; isogeometric analysis ; Mathematical analysis ; Mathematical methods in physics ; Operators ; Physics ; Software ; T-splines
É parte de: International journal for numerical methods in engineering, 2011-10, Vol.88 (2), p.126-156
Notas: ArticleID:NME3167
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Descrição: 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 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.
Editor: Chichester, UK: John Wiley & Sons, Ltd
Idioma: Inglês

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Isogeometric finite element data structures based on Bézier extraction of T-splines

Scott, Michael A. ; Borden, Michael J. ; Verhoosel, Clemens V. ; Sederberg, Thomas W. ; Hughes, Thomas J. R.

Chichester, UK: John Wiley & Sons, Ltd

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