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A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem
Joint Authors
Tang, Qili
Shi, Dongyang
Zhang, Yadong
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A characteristic nonconforming mixed finite element method (MFEM) is proposed for the convection-dominated diffusion problem based on a new mixed variational formulation.
The optimal order error estimates for both the original variable u and the auxiliary variable σ with respect to the space are obtained by employing some typical characters of the interpolation operator instead of the mixed (or expanded mixed) elliptic projection which is an indispensable tool in the traditional MFEM analysis.
At last, we give some numerical results to confirm the theoretical analysis.
American Psychological Association (APA)
Shi, Dongyang& Tang, Qili& Zhang, Yadong. 2013. A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-510878
Modern Language Association (MLA)
Shi, Dongyang…[et al.]. A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-510878
American Medical Association (AMA)
Shi, Dongyang& Tang, Qili& Zhang, Yadong. A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-510878
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510878