A triangular finite element with new approximation properties

DOI10.1134/S0081543817020079zbMath1369.65141OpenAlexW2611666293MaRDI QIDQ2362418

N. V. Baidakova

Publication date: 7 July 2017

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

Full work available at URL: https://doi.org/10.1134/s0081543817020079

zbMATH Keywords

finite element methodmaximum angle conditionmultidimensional interpolationsplines on triangulations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Cites Work

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• On angle conditions in the finite element method
• Influence of smoothness on the error of approximation of derivatives under local interpolation on triangulations
• Dependence of estimates of a multidimensional piecewise polynomial approximation on the geometric characteristics of the triangulation
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods

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