Characterization of the existence of an enriched linear finite element approximation using biorthogonal systems

DOI10.1007/s00025-016-0565-4zbMath1416.65431OpenAlexW2437555993MaRDI QIDQ346576

Allal Guessab, Mostafa Bachar

Publication date: 29 November 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0565-4

zbMATH Keywords

error estimatesbiorthogonal systemsnonconforming finite elementenriched finite element methodmultivariate trapezoidal cubature formulas

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical integration (65D30)

Related Items (7)

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

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