WEIGHTED TECHNIQUE FOR FINITE ELEMENT GRADIENT RECOVERY AT BOUNDARY
Journal: Matrix Science Mathematic (MSMK)
Author: Y. Kashwaa, A. Elsaid, M. El-Agamy
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
In this paper, an improved technique is presented to recover the fi- nite element gradient at boundaries. The proposed technique begins by evaluating the recovered gradient at the interior nodes using polynomial preserving recovery technique. Then we propose formula for weights to the recovered gradient at the interior nodes attached to boundary nodes. The sum of these weighted recovered gradients is utilized as an approxi- mation for the gradient at the attached boundary node. The validity of the proposed technique is illustrated by some two-dimensional numerical examples.