Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/73959
Title: A new rotated nonconforming quadrilateral element
Authors: Meng, Z
Cui, J 
Luo, Z
Keywords: Finite element
Nonconforming element
Nonparametric
Quadrilateral mesh
Issue Date: 2018
Publisher: Springer
Source: Journal of scientific computing, 2018, v. 74, no. 1, p. 324-335 How to cite?
Journal: Journal of scientific computing 
Abstract: In this paper, a new nonparametric nonconforming quadrilateral finite element is introduced. This element takes the four edge mean values as the degrees of the freedom and the finite element space is a subspace of (Formula presented.). Different from the other nonparametric elements, the basis functions of this new element can be expressed explicitly without solving linear systems locally, which can be achieved by introducing a new reference quadrilateral. To evaluate the integration, a class of new quadrature formulae with only three equally weighted points on quadrilateral are constructed. Hence the stiffness matrix can be calculated by the same way with the parametric elements. Numerical results are shown to confirm the optimality of the convergence order for the second order elliptic problems and the Stokes problem.
URI: http://hdl.handle.net/10397/73959
ISSN: 0885-7474
DOI: 10.1007/s10915-017-0435-6
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