The interpolation theorem for narrow quadrilateral isoparametric finite elements (Q1907129)
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scientific article; zbMATH DE number 839152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The interpolation theorem for narrow quadrilateral isoparametric finite elements |
scientific article; zbMATH DE number 839152 |
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The interpolation theorem for narrow quadrilateral isoparametric finite elements (English)
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16 June 1996
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The authors prove \(L^2\) and \(H^1\) error bounds for bilinear interpolation on long, thin quadrilaterals. The angles of such a quadrilateral are required to be bounded away from 0 and \(\pi\), and two sides are required to be much longer than the others and nearly parallel. Such quadrilaterals fit naturally to the geometry of some applications.
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narrow quadrilateral isoparametric finite elements
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error bounds
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bilinear interpolation
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