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AC 2 finite element and interpolation

EinC 2-finites Element und Interpolation

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Abstract

In this paper, we define so-called QT triangulation of a given partition with quadrilateral, establish aC 2 finite element and interpolation of the space of piecewise bivariate polynomial of total degree 6, and in the process obtain a local bases for the space.

Zusammenfassung

In diesem Artikel wird eine sogenannte QT-Triangulierung einer gegebenen Vierecksunterteilung eingeführt. Ein Finite-Elemente-Unterraum des RaumesC 2 wird konstruiert. Dieser Unterraum besteht aus den Funktionen, die stückweise Polynome von zwei Veränderlichen des Gesamtgrades 6 sind und gewissen Interpolationsbedingungen Genügen.

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Authors and Affiliations

  1. Department of Mathematics, Wuhan University, 430072, Wuhan, People's Republic of China

    J. Gao

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  1. J. Gao
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Gao, J. AC 2 finite element and interpolation. Computing 50, 69–76 (1993). https://doi.org/10.1007/BF02280040

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  • DOI: https://doi.org/10.1007/BF02280040

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