@Article{NMTMA-3-178,
author = {},
title = {Three-Dimensional Finite Element Superconvergent Gradient Recovery on Par6 Patterns},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2010},
volume = {3},
number = {2},
pages = {178--194},
abstract = {<p style="text-align: justify;">In this paper, we present a theoretical analysis for linear finite element superconvergent
gradient recovery on Par6 mesh, the dual of which is centroidal Voronoi
tessellations with the lowest energy per unit volume and is the congruent cell predicted
by the three-dimensional Gersho&#39;s conjecture. We show that the linear finite element
solution $u_h$ and the linear interpolation $u_I$ have superclose gradient on Par6 meshes.
Consequently, the gradient recovered from the finite element solution by using the superconvergence
patch recovery method is superconvergent to $\nabla u$. A numerical
example is presented to verify the theoretical result.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2010.32s.4},
url = {http://global-sci.org/intro/article_detail/nmtma/5995.html}
}