Lower estimates for the error of approximation of derivatives for composite finite elements with smoothness property

DOI10.1134/S0081543815020042zbMath1326.41041MaRDI QIDQ2516591

N. V. Baidakova

Publication date: 3 August 2015

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

zbMATH Keywords

finite element methodmultidimensional interpolationsplines on triangulationssmallest angle condition

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

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Cites Work

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• 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
• Interpolation polynomials on the triangle
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• On the Angle Condition in the Finite Element Method
• On some interpolation process by polynomials of degree 4m+1 on the triangle
• Maximum-Angle Condition and Triangular Finite Elements of Hermite Type
• Triangular Elements in the Finite Element Method

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