Pseudo-conforming polynomial finite elements on quadrilaterals

DOI10.1080/00207160902759342zbMath1177.65172OpenAlexW2016432471MaRDI QIDQ3643167

Jean-Marie Thomas, Eric Dubach, Robert Luce

Publication date: 10 November 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00342656/file/CMMSE2008_luce_V2.pdf

zbMATH Keywords

convergencenumerical resultserror estimatespolynomial approximationsecond-order elliptic problemsquadrilateral meshesnon-conforming approximationLagrange and mixed finite elements

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (2)

Robust nonconforming polynomial finite elements over quadrilaterals ⋮ A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials

Cites Work

• Unnamed Item
• Pseudo-conform polynomial Lagrange finite elements on quadrilaterals and hexahedra
• Mixed and Hybrid Finite Element Methods
• New mixed finite element method on polygonal and polyhedral meshes
• Approximation by quadrilateral finite elements
• Convergence analysis and error estimates for mixed finite element method on distorted meshes
• QuadrilateralH(div) Finite Elements

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