Some integration formulas for a four-node isoparametric element (Q1072770)
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scientific article; zbMATH DE number 3943199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some integration formulas for a four-node isoparametric element |
scientific article; zbMATH DE number 3943199 |
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Some integration formulas for a four-node isoparametric element (English)
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1986
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In this paper we present analytical integration formulas for a four-node isoparametric element. All the formulas are constructed with three simple functions of element nodal values, and therefore they can be easily coded and have high cost-effectiveness. Some of the formulas are exact and some are approximate. However, even the approximate formulas have enough accuracy and do not suffer from the so-called ''hourglass'' instability, which is a major drawback of one-point quadrature.
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analytical integration formulas
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four-node isoparametric element
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three simple functions of element nodal values
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exact
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approximate
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