The effect of numerical integration on the finite element approximation of linear functionals

DOI10.1007/s00211-010-0335-2zbMath1210.65188OpenAlexW1975961621MaRDI QIDQ621309

Hengguang Li, Ivo M. Babuška, Uday Banerjee

Publication date: 2 February 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0335-2

zbMATH Keywords

convergencenumerical integrationfinite element methodnumerical experimentserror estimationapproximation of linear functionals

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

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• The effect of quadrature errors in the numerical solution of two- dimensional boundary value problems by variational techniques
• The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
• The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors
• The Effect of Numerical Quadrature in the p-Version of the Finite Element Method
• Interior Maximum-Norm Estimates for Finite Element Methods, Part II
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