Automatic indexed calculation of wachspress' rational finite element functions

A numerical method of calculating all of the polynomial coefficients for Wachspress' rational finite element functions is presented. It requires only linear algebraic computations of matrix algebra and avoids the complicated constructions of geometric algebra used in the development of the rati...

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Published inComputers & mathematics with applications (1987) Vol. 11; no. 6; pp. 625 - 641
Main Author Dalton, G.R.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.01.1985
Online AccessGet full text
ISSN0898-1221
1873-7668
DOI10.1016/0898-1221(85)90045-8

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Abstract A numerical method of calculating all of the polynomial coefficients for Wachspress' rational finite element functions is presented. It requires only linear algebraic computations of matrix algebra and avoids the complicated constructions of geometric algebra used in the development of the rational elements.
AbstractList A numerical method of calculating all of the polynomial coefficients for Wachspress' rational finite element functions is presented. It requires only linear algebraic computations of matrix algebra and avoids the complicated constructions of geometric algebra used in the development of the rational elements.
Author Dalton, G.R.
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10.1098/rspa.1979.0157
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References Lecot (BIB1) March 28–31, 1983
Patternoster (BIB2) 1983
Yerry, Shephard (BIB7) January/February 1983
Scheid (BIB6) 1968
Dalton (BIB5) 1983
Cline (BIB4) 1979
McLeod (BIB8) 1979; A369
Wachspress (BIB3) 1975
Cline (10.1016/0898-1221(85)90045-8_BIB4) 1979
Lecot (10.1016/0898-1221(85)90045-8_BIB1) 1983
Dalton (10.1016/0898-1221(85)90045-8_BIB5) 1983
Yerry (10.1016/0898-1221(85)90045-8_BIB7) 1983
Scheid (10.1016/0898-1221(85)90045-8_BIB6) 1968
McLeod (10.1016/0898-1221(85)90045-8_BIB8) 1979; A369
Wachspress (10.1016/0898-1221(85)90045-8_BIB3) 1975
Patternoster (10.1016/0898-1221(85)90045-8_BIB2) 1983
References_xml – year: 1983
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  publication-title: Elements of the Theory of the Generalized Inverses of Matrices
  doi: 10.1007/978-1-4684-6717-8
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  article-title: A Linear Characteristic-Nodal Transport Method for the Two-Dimensional (x,y)-Geometry Multigroup Discrete Ordinates Equations Over An Arbitrary Traigle Mesh
– year: 1968
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  article-title: Spatial Convergence Properties of Some Characteristic Methods for the SN Equations in (x,y)-Geometry
  publication-title: Proceedings of the ANS Topical Meeting on Advances in Reactor Computations, Salt Lake City, Utah
– year: 1983
  ident: 10.1016/0898-1221(85)90045-8_BIB5
– volume: A369
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  article-title: The Steiner surface revisited
  publication-title: Proc. R. Soc. London
  doi: 10.1098/rspa.1979.0157
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