An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media

被引：0
|
作者：
Chen, Huangxin [1 ,2 ,3 ]
Sun, Shuyu [3 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[2] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Fujian, Peoples R China
[3] King Abdullah Univ Sci & Technol KAUST, Phys Sci & Engn Div PSE, Thuwal 239556900, Saudi Arabia
来源：
COMPUTATIONAL SCIENCE - ICCS 2020, PT VII | 2020年 / 12143卷
关键词：
Space fractional Darcy flow; Extended mixed finite element method; Well-posedness; ADVECTION-DISPERSION EQUATIONS; BOUNDED DOMAINS; APPROXIMATIONS;
D O I：
10.1007/978-3-030-50436-6_15
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper an expanded mixed formulation is introduced to solve the two dimensional space fractional Darcy flow in porous media. By introducing an auxiliary vector, we derive a new mixed formulation and the well-possedness of the formulation can be established. Then the locally mass-conservative expanded mixed finite element method is applied for the solution. Numerical results are shown to verify the efficiency of the proposed algorithm.
引用
收藏
页码：205 / 216
页数：12
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