Weighted Technique For Finite Element Gradient Recovery At Boundary

Y. Kashwaa, A. Elsaid () and M. El-Agamy
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Y. Kashwaa: Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, Egypt
A. Elsaid: Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, Egypt.
M. El-Agamy: Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, Egypt

Matrix Science Mathematic (MSMK), 2020, vol. 3, issue 2, 27-31

Abstract: 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.

Keywords: Gradient at boundary; Polynomial preserving recovery; Finite element method; Poisson equation.Journal: Matrix Science Mathematic (MSMK) (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:3:y:2019:i:2:p:27-31

DOI: 10.26480/msmk.02.2019.27.31

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