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A Completely Discrete Heterogeneous Multiscale Finite Element Method for Multiscale Richards’ Equation of van Genuchten-Mualem Model
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We propose a fully discrete method for the multiscale Richards’ equation of van Genuchten-Mualem model which describes the flow transport in unsaturated heterogenous porous media.
Under the framework of heterogeneous multiscale method (HMM), a fully discrete scheme combined with a regularized procedure is proposed.
Including the numerical integration, the discretization is given by C0 piecewise finite element in space and an implicit scheme in time.
Error estimates between the numerical solution and the solution of homogenized problem are derived under the assumption that the permeability is periodic.
Numerical experiments with periodic and random permeability are carried out for the van Genuchten-Mualem model of Richards’ equation to show the efficiency and accuracy of the proposed method.
American Psychological Association (APA)
Cao, Haitao& Yu, Tao& Yue, Xingye. 2014. A Completely Discrete Heterogeneous Multiscale Finite Element Method for Multiscale Richards’ Equation of van Genuchten-Mualem Model. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-488828
Modern Language Association (MLA)
Cao, Haitao…[et al.]. A Completely Discrete Heterogeneous Multiscale Finite Element Method for Multiscale Richards’ Equation of van Genuchten-Mualem Model. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-488828
American Medical Association (AMA)
Cao, Haitao& Yu, Tao& Yue, Xingye. A Completely Discrete Heterogeneous Multiscale Finite Element Method for Multiscale Richards’ Equation of van Genuchten-Mualem Model. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-488828
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488828