Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499619 | Computer Methods in Applied Mechanics and Engineering | 2008 | 21 Pages |
Abstract
We study the discretization behavior of classical finite element and NURBS approximations on problems of structural vibrations and wave propagation. We find that, on the basis of equal numbers of degrees-of-freedom and bandwidth, NURBS have superior approximation properties. In fact, we observe that the high mode behavior of classical finite elements is divergent with the order of approximation, a surprisingly negative result. On the other hand, NURBS offer almost spectral approximation properties, and all modes converge with increasing order of approximation.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
T.J.R. Hughes, A. Reali, G. Sangalli,