Accession Number:

ADA478678

Title:

Duality and Unified Analysis of Discrete Approximations in Structural Dynamics and Wave Propagation: Comparison of rho-method Finite Elements with kappa-method NURBS (Preprint)

Descriptive Note:

Journal article

Corporate Author:

TEXAS UNIV AT AUSTIN DEPT OF MTHEMATICS AND INST OF COMPUTATIONAL ENGINEERING AND SCIENCES

Personal Author(s):

• Hughes, T. J.
• Reali, A.
• Sangalli, G.

Report Date:

2007-10-10

Pagination or Media Count:

53.0

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.

Descriptors:

• *VIBRATION
• *WAVE PROPAGATION
• FINITE ELEMENT ANALYSIS
• EQUATIONS
• DISPERSION RELATIONS
• SMOOTHING(MATHEMATICS)
• EVANESCENT WAVES
• AMPLITUDE
• EIGENVALUES
• DEGREES OF FREEDOM

Subject Categories:

• Numerical Mathematics
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE