A nonconforming scheme for non-Fickian flow in porous mediaReport as inadecuate




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Journal of Inequalities and Applications

, 2017:142

First Online: 19 June 2017Received: 31 March 2017Accepted: 07 June 2017DOI: 10.1186-s13660-017-1419-7

Cite this article as: Wang, P., Jiang, L. & Chen, S. J Inequal Appl 2017 2017: 142. doi:10.1186-s13660-017-1419-7

Abstract

In this paper, we construct a semi-discrete scheme and a fully discrete scheme using the Wilson nonconforming element for the parabolic integro-differential equation arising in modeling the non-Fickian flow in porous media by the interior penalty method. Without using the conventional elliptic projection, which was an indispensable tool in the convergence analysis of finite element methods in previous literature, we get an optimal error estimate which is only determined by the interpolation error. Finally, we give some numerical experiments to show the efficiency of the method.

Keywordsnon-Fickian flow interior penalty method Wilson nonconforming element convergence analysis 



Author: Peizhen Wang - Liying Jiang - Shaochun Chen

Source: https://link.springer.com/



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