Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 88, Issue 2, Pages 126-156Publisher
WILEY-BLACKWELL
DOI: 10.1002/nme.3167
Keywords
Bezier extraction; isogeometric analysis; T-splines; finite elements
Funding
- Office of Naval Research [N00014-08-1-0992]
- National Science Foundation [CMI-0700807]
- SINTEF [UTA10-000374]
- ICES
- Sandia National Laboratories
- United States Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
Ask authors/readers for more resources
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 (C) 2011 John Wiley & Sons, Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available