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Approximation of the derivatives of a function in Lagrange interpolation on low-dimensional simplices

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Publication:828606
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DOI10.1134/S008154382101017XzbMath1464.41001OpenAlexW3157764673MaRDI QIDQ828606

N. V. Baidakova, Yu. N. Subbotin

Publication date: 5 May 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154382101017x


zbMATH Keywords

finite element methodmultidimensional interpolation


Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)




Cites Work

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  • Dependence of estimates of a multidimensional piecewise polynomial approximation on the geometric characteristics of the triangulation
  • On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices
  • On Synge-type angle condition for \(d\)-simplices.
  • General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
  • On the Maximum Angle Condition for Linear Tetrahedral Elements
  • On a Class of Finite Elements Generated by Lagrange Interpolation
  • Simplicial Partitions with Applications to the Finite Element Method
  • On Jamet’s Estimates for the Finite Element Method with Interpolation at Uniform Nodes of a Simplex
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