A new superconvergence property of nonconforming rotated \(Q_1\) element in 3D

DOI10.1016/j.cma.2007.07.013zbMath1185.65202OpenAlexW1971493815MaRDI QIDQ839171

Yun Xu, Pingbing Ming, Zhong-Ci Shi

Publication date: 1 September 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.07.013

zbMATH Keywords

finite element methodnumerical examplessuperconvergencenonconforming rotated \(Q_1\) elementthree dimensional second order elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (2)

Effect of numerical integration on a new rotated nonconforming quadrilateral element ⋮ Some numerical quadrature schemes of a non-conforming quadrilateral finite element

Cites Work

• Optimal \(L^{\infty}\)-error estimates for nonconforming and mixed finite element methods of lowest order
• Differencing of the diffusion equation in Lagrangian hydrodynamic codes
• The computation of the dynamics of the martensitic transformation
• Multipoint Taylor formulas and applications to the finite element method
• Superconvergence and Reduced Integration in the Finite Element Method
• Simple nonconforming quadrilateral Stokes element
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Interior Maximum-Norm Estimates for Finite Element Methods, Part II
• Analysis of a class of nonconforming finite elements for crystalline microstructures
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