A nonconforming scheme for non-Fickian flow in porous media

被引：2
作者：
Wang, Peizhen [1 ]
Jiang, Liying [2 ]
Chen, Shaochun [3 ]
机构：
[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Peoples R China
[2] Zhengzhou Vocat Coll Finance & Taxat, Dept Basic Sci, Zhengzhou 450048, Peoples R China
[3] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450052, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
non-Fickian flow; interior penalty method; Wilson nonconforming element; convergence analysis; FINITE-ELEMENT METHODS; INTERIOR PENALTY METHODS; ELLIPTIC PROBLEMS; SUPERCONVERGENCE; APPROXIMATIONS; EQUATIONS;
D O I：
10.1186/s13660-017-1419-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：16
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