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Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We propose the characteristics-mixed method for approximating the solution to a convection-dominated transport problem.
The new method is a combination of characteristic approximation to handle the convection part in time and a mixed finite element spatial approximation to deal with the diffusion part.
Boundary conditions are incorporated in a natural fashion.
The scheme is locally conservative since fluid is transported along the approximate characteristics on the discrete level and the test function can be piecewise constant.
Analysis shows that the scheme has much smaller time-truncation errors than those of standard methods.
American Psychological Association (APA)
Zhao, Peixin& Man, Hongying. 2013. Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-458610
Modern Language Association (MLA)
Zhao, Peixin& Man, Hongying. Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-458610
American Medical Association (AMA)
Zhao, Peixin& Man, Hongying. Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-458610
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458610