Uniform error estimates for certain narrow Lagrange finite elements
Mathematics of Computation
Modelling 94 Proceedings of the 1994 international symposium on Mathematical modelling and computational methods
Error estimates for 3-d narrow finite elements
Mathematics of Computation
SIAM Journal on Numerical Analysis
Lagrange and average interpolation over 3D anisotropic elements
Journal of Computational and Applied Mathematics
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Convergence analysis for quadrilateral rotated Q1 elements
Scientific computing and applications
An anisotropic, superconvergent nonconforming plate finite element
Journal of Computational and Applied Mathematics
A subspace of the DSSY nonconforming quadrilateral finite element space for the Stokes equations
Journal of Computational and Applied Mathematics
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In this paper, a four-parameter quadrilateral nonconforming finite element with double set parameter (DSP) is presented. The element is originated from the nonconforming rotated Q1 element and bilinear element, thus we can call it QB element. We prove that it is an anisotropic and superconvergent nonconforming quadrilateral finite element. The results of this paper can be regarded as extensions of the DSP method to the second order problems, which show some new merits of it. Finally, numerical results are presented, which coincides with our theoretical analysis.