A simple necessary and sufficient condition for the enrichment of the Crouzeix-Raviart element

DOI10.2298/AADM160610012BzbMath1474.65434MaRDI QIDQ5279890

Allal Guessab, Mostafa Bachar

Publication date: 19 July 2017

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

error estimatesnonconforming finite elementenriched finite element methodmultivariate trapezoidal cubature formulasenriched Crouzeix-Raviart element

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical integration (65D30)

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Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration ⋮ A unified enrichment approach of the standard three-node triangular element ⋮ A general class of enriched methods for the simplicial linear finite elements ⋮ New cubature formulas and Hermite-Hadamard type inequalities using integrals over some hyperplanes in the \(d\)-dimensional hyper-rectangle ⋮ A multivariate version of Hammer's inequality and its consequences in numerical integration ⋮ Numerical integration using integrals over hyperplane sections of simplices in a triangulation of a polytope ⋮ Extended Multidimensional Integration Formulas on Polytope Meshes ⋮ On the improvement of the triangular Shepard method by non conformal polynomial elements

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