Title: Some geometrical results and estimates for quadrilateral finite elements
Abstract: The concept of the equivalent parallelogram associated with a quadrilateral is introduced. The quadrilateral may be regarded as a perturbation of this parallelogram, which is most conveniently described by making use of properties of the isoparametric map which defines the quadrilateral. The equivalent parallelogram generates a natural means of defining a regular family of quadrilaterals; this definition is used together with other properties to obtain in a relatively simple manner estimates, in appropriate seminorms or norms, of the isoparametric map and its Jacobian, for use in the determination of finite element interpolation error estimates.
Publication Year: 1995
Publication Date: 1995-05-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 21
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