Some numerical quadrature schemes of a non-conforming quadrilateral finite element

DOI10.1007/s10255-012-0127-9zbMath1355.65155OpenAlexW1968510183MaRDI QIDQ511077

Ming-Xia Li, Xiao-Fei Guan, Shao-Chun Chen

Publication date: 14 February 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-012-0127-9

zbMATH Keywords

numerical integrationoptimal error estimatenon-conforming quadrilateral finite element

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)

Related Items (2)

Some superconvergence results of high-degree finite element method for a second order elliptic equation with variable coefficients ⋮ High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations

Cites Work

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• The Generalized Patch Test
• Simple nonconforming quadrilateral Stokes element
• Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
• Quadrature rules for brick based finite elements
• Variational methods for the solution of problems of equilibrium and vibrations

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