A nonconforming scheme for non-Fickian flow in porous media

被引：0
|
作者：
Peizhen Wang
Liying Jiang
Shaochun Chen
机构：
[1] North China University of Water Resources and Electric Power,School of Mathematics and Statistics
[2] Zhengzhou Vocational College of Finance and Taxation,Department of Basic Science
[3] Zhengzhou University,School of Mathematics and Statistics
来源：
Journal of Inequalities and Applications | / 2017卷
关键词：
non-Fickian flow; interior penalty method; Wilson nonconforming element; convergence analysis;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 50 条
  • [1] A nonconforming scheme for non-Fickian flow in porous media
    Wang, Peizhen
    Jiang, Liying
    Chen, Shaochun
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [2] Non-Fickian convection–diffusion models in porous media
    Sílvia Barbeiro
    Somayeh Gh. Bardeji
    José A. Ferreira
    Luís Pinto
    [J]. Numerische Mathematik, 2018, 138 : 869 - 904
  • [3] Non-Fickian transport in heterogeneous saturated porous media
    Serrano, SE
    [J]. JOURNAL OF ENGINEERING MECHANICS-ASCE, 1997, 123 (01): : 70 - 76
  • [4] Non-Fickian mass transport in fractured porous media
    Fomin, Sergei A.
    Chugunov, Vladimir A.
    Hashida, Toshiyuki
    [J]. ADVANCES IN WATER RESOURCES, 2011, 34 (02) : 205 - 214
  • [5] Saturation Dependence of Non-Fickian Transport in Porous Media
    Hasan, Sharul
    Joekar-Niasar, Vahid
    Karadimitriou, Nikolaos K.
    Sahimi, Muhammad
    [J]. WATER RESOURCES RESEARCH, 2019, 55 (02) : 1153 - 1166
  • [6] Non-Fickian transport in porous media with bimodal structural heterogeneity
    Bijeljic, Branko
    Rubin, Shira
    Scher, Harvey
    Berkowitz, Brian
    [J]. JOURNAL OF CONTAMINANT HYDROLOGY, 2011, 120-21 : 213 - 221
  • [7] BLOCK-CENTERED FINITE DIFFERENCE METHODS FOR NON-FICKIAN FLOW IN POROUS MEDIA
    Li, Xiaoli
    Rui, Hongxing
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 36 (04) : 492 - 516
  • [8] Non-Fickian Transport in Porous Media: Always Temporally Anomalous?
    Alexey Zhokh
    Peter Strizhak
    [J]. Transport in Porous Media, 2018, 124 : 309 - 323
  • [9] Non-Fickian Transport in Porous Media: Always Temporally Anomalous?
    Zhokh, Alexey
    Strizhak, Peter
    [J]. TRANSPORT IN POROUS MEDIA, 2018, 124 (02) : 309 - 323
  • [10] Non-Fickian convection-diffusion models in porous media
    Barbeiro, Silvia
    Bardeji, Somayeh Gh
    Ferreira, Jose A.
    Pinto, Luis
    [J]. NUMERISCHE MATHEMATIK, 2018, 138 (04) : 869 - 904
12345