Approximations of the partial derivatives by averaging

DOI10.2478/S11533-011-0107-YzbMath1259.65049OpenAlexW2047212908MaRDI QIDQ432256

Josef Dalík

Publication date: 3 July 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0107-y

zbMATH Keywords

numerical exampleshigh-order approximation of derivativesLagrange finite elementregular simplicial triangulation

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Related Items (1)

Averaging of gradient in the space of linear triangular and bilinear rectangular finite elements

Cites Work

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• Averaging of directional derivatives in vertices of nonobtuse regular triangulations
• Superconvergence phenomenon in the finite element method arising from averaging gradients
• How to recover the gradient of linear elements on nonuniform triangulations
• The polynomial-preserving recovery for higher order finite element methods in 2D and 3D
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• A New Finite Element Gradient Recovery Method: Superconvergence Property

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