The Reason for the Efficiency of the Pian-Sumihara Basis
Computational Physics
2007-05-23 v1
Abstract
A logical explanation as to why the choice of the Pian-Sumihara basis (as a linear basis to approximate stress) leads to greater efficiency in enhanced strain problems, is presented. An Airy stress function and the consequent selective simplification resulting from the differentiation of an implied, single, parent approximating polynomial, are the essence of this argument.
Cite
@article{arxiv.physics/9909002,
title = {The Reason for the Efficiency of the Pian-Sumihara Basis},
author = {S. J. Childs and B. D. Reddy},
journal= {arXiv preprint arXiv:physics/9909002},
year = {2007}
}
Comments
6 pages, in review (2nd tier journal)