✦ LIBER ✦
First Cesaro sums for high order finite elements near singularities
✍ Scribed by M. P. Rossow; A. K. Mehta; G. Petruska
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 152 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
High order finite elements often exhibit an oscillatory behaviour near stress singularities which appears similar to the Gibbs phenomenon in the theory of Fourier series. It is known that under certain conditions the average of successive partial sums (the first Cesaro sum) of a Fourier series exhibiting the Gibbs phenomenon will converge monotonically to the function being approximated. An analogous device introduced for high order finite element approximations near a stress singularity successfully smooths the oscillations of the computed stress.