Abstract
An important class of rectangular finite elements are those of reduced Hermite interpolation type. They have a set of nodes which can be considered as a subset of the interpolation data of a corresponding Hermite tensor product scheme. Those nodes are omitted which do not contribute to the desired properties such as degree of exactness, i.e. the maximal degree of polynomials which are interpolated exactly, or the degree of conformity, i.e. the maximal degree of derivatives which are continuous when interpolating on a rectangular grid using the same scheme several times. This reduction of the number of parameters avoids the computation of unwanted information. Conforming elements of that kind are defined for example in the works of MELKES [5] and WATKINS [7].
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© 1982 Birkhäuser Verlag Basel
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Baszenski, G., Delvos, FJ., Hackenberg, K. (1982). Remarks on Reduced Hermite Interpolation. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 61. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7189-1_4
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DOI: https://doi.org/10.1007/978-3-0348-7189-1_4
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