Applicability of the Bramble-Hilbert lemma in interpolation problems of narrow quadrilateral isoparametric finite elements

DOI10.1016/0377-0427(95)00053-4zbMath0847.41003OpenAlexW2061093068WikidataQ124838767 ScholiaQ124838767MaRDI QIDQ1917845

Michèle Vanmaele, Alexander Ženíšek

Publication date: 15 July 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00053-4

zbMATH Keywords

interpolation theoremsnarrow quadrilateral isoparametric finite elements

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

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Cites Work

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• On semiregular families of triangulations and linear interpolation
• The interpolation theorem for narrow quadrilateral isoparametric finite elements
• On the finite element method
• Bounds for a class of linear functionals with applications to Hermite interpolation
• Interpolation polynomials on the triangle
• Interpolation theory over curved elements, with applications to finite element methods
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• Triangular Elements in the Finite Element Method