0
TECHNICAL BRIEFS

Singularities in p-Type Finite Element Computations: Numerical Experiments on the Locality of Pollution Effects

[+] Author and Article Information
G. Becker, P. Carnevali, B. Chayapathy, W. Imaino, R. B. Morris, Y. Tsuji, B. Yendler

IBM Research Division, Almaden Research Center, San Jose, CA 95120-6099

J. Appl. Mech 58(2), 586-588 (Jun 01, 1991) (3 pages) doi:10.1115/1.2897228 History: Received November 17, 1989; Revised April 15, 1990; Online March 31, 2008

Abstract

Using a recently developed code for three-dimensional p -type finite element computations in elasticity, we have studied, with a series of numerical experiments, the behavior of the solution in the presence of singularities. Worst-cast theoretical estimates predict a global pollution of the solution, unless optimally graded meshes are used. On the other hand, we observe that except in an immediate neighborhood of a singularity, and even using uniform meshes, the quality of the solution is not degraded to any practically relevant extent. This has important practical consequences because it allows modelers to introduce artifical singularities for the purpose of simplifying models. The size of the area around a singularity where the solution is appreciably degraded can be estimated in terms of the minimum effective wavelength of the basis functions used; the latter, in turn, can be related to the element size and the polynomial order used.

Copyright © 1991 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In