A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduce a mixed finite element method for an elliptic equation modelling Darcy flow in porous media.
We use a staggered mesh where the two components of the velocity and the pressure are defined on three different sets of grid nodes.
In the present mixed finite element, the approximate velocity is continuous and the conservation law still holds locally.
The LBB consistent condition is established, while the L2 error estimates are obtained for both the velocity and the pressure.
Numerical examples are presented to confirm the theoretical analysis.
American Psychological Association (APA)
Li, Xindong& Rui, Hongxing. 2013. A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-482399
Modern Language Association (MLA)
Li, Xindong& Rui, Hongxing. A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-482399
American Medical Association (AMA)
Li, Xindong& Rui, Hongxing. A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-482399
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482399
