Paper Info
Title
Iso-geometric Finite Element Analysis Based on Catmull-Clark : ubdivision Solids
Abstract
We present a volumetric iso-geometric finite element analysis based on Catmull-Clark solids. This concept allows one to use the same representation for the modeling, the physical simulation, and the visualization, which optimizes the design process and narrows the gap between CAD and CAE. In our method the boundary of the solid model is a Catmull-Clark surface with optional corners and creases to support the modeling phase. The crucial point in the simulation phase is the need to perform efficient integration for the elements. We propose a method similar to the standard subdivision surface evaluation technique, such that numerical quadrature can be used. Experiments show that our approach converges faster than methods based on tri-linear and tri-quadratic elements. However, the topological structure of Catmull-Clark elements is as simple as the structure of linear elements. Furthermore, the Catmull-Clark elements we use are C-2-continuous on the boundary and in the interior except for irregular vertices and edges.
Year
DOI
Venue
2010
10.1111/j.1467-8659.2010.01766.x
COMPUTER GRAPHICS FORUM
Keywords
Field
DocType
finite element analysis
Vertex (geometry),Computer science,Numerical integration,Extended finite element method,Algorithm,Finite element method,Theoretical computer science,Subdivision surface,Engineering design process,Geometry,Mixed finite element method,Catmull–Clark subdivision surface
Journal
Volume
Issue
ISSN
29.0
5.0
0167-7055
Citations 
PageRank 
References 
29
1.73
16
Authors
3
Name
Order
Citations
PageRank
D. Burkhart1362.55
Bernd Hamann22283206.78
Georg Umlauf313416.86