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- Title
Maximum Norm Superconvergence of the Trilinear Block Finite Element.
- Authors
Jinghong Liu; Yinsuo Jia
- Abstract
In this article we discuss a pointwise superconvergence post-processing technique for the gradient of the trilinear block finite element for the Poisson equation with homogeneous Dirichlet boundary conditions over a fully uniform mesh of the three-dimensional domain Ω. First, the supercloseness of the gradients between the piecewise trilinear finite element solution uh and the trilinear interpolant Πu is given. Secondly, we analyze a superconvergence post-processing scheme for the gradient of the finite element solution by using the Z-Z recovery technique, which shows that the recovered gradient of uh is superconvergent to the gradient of the true solution u in the pointwise sense of the L∞-norm. Finally, a numerical example is given.
- Subjects
TRILINEAR coordinates; TRILINEAR forms; FINITE element method; SKELLAM distribution; NUMERICAL analysis
- Publication
Journal of Computational Analysis & Applications, 2017, Vol 22, Issue 1, p161
- ISSN
1521-1398
- Publication type
Article