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\(C^ 1\) rational finite elements

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Publication:1179389
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DOI10.1016/0898-1221(91)90064-BzbMath0739.65006OpenAlexW1968549456MaRDI QIDQ1179389

Eugene L. Wachspress

Publication date: 26 June 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(91)90064-b


zbMATH Keywords

rational approximationrational basis functionsrational finite elements


Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Approximation by rational functions (41A20) Numerical interpolation (65D05)


Related Items (4)

Rational shape functions for \(C^ 1\)-interpolation on quadrilaterals ⋮ \(C^1,C^2\)-smooth interpolants on curved sides element ⋮ A counterexample of the construction of \(C^ 1\)-rational finite element due to Wachspress ⋮ Dimensions of spaces of Wachspress type \(C^ 1\)-rational finite elements




Cites Work

  • Integration techniques for isoparametric and higher order bases on finite elements with a curved side
  • A counterexample of the construction of \(C^ 1\)-rational finite element due to Wachspress
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