dorsal/arxiv
View SchemaThe Reason for the Efficiency of the Pian-Sumihara Basis
| Authors | S. J. Childs, B. D. Reddy |
|---|---|
| Categories | |
| ArXiv ID | physics/9909002 |
| URL | https://arxiv.org/abs/physics/9909002 |
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.
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"abstract": "A logical explanation as to why the choice of the Pian-Sumihara basis (as a\nlinear basis to approximate stress) leads to greater efficiency in enhanced\nstrain problems, is presented. An Airy stress function and the consequent\nselective simplification resulting from the differentiation of an implied,\nsingle, parent approximating polynomial, are the essence of this argument.",
"arxiv_id": "physics/9909002",
"authors": [
"S. J. Childs",
"B. D. Reddy"
],
"categories": [
"physics.comp-ph"
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"title": "The Reason for the Efficiency of the Pian-Sumihara Basis",
"url": "https://arxiv.org/abs/physics/9909002"
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