A New Expanded Mixed Element Method for Convection-Dominated Sobolev Equation
Joint Authors
Wang, Jinfeng
Fang, Zhichao
Liu, Yang
Li, Hong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-18
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We propose and analyze a new expanded mixed element method, whose gradient belongs to the simple square integrable space instead of the classical H(div; Ω) space of Chen’s expanded mixed element method.
We study the new expanded mixed element method for convection-dominated Sobolev equation, prove the existence and uniqueness for finite element solution, and introduce a new expanded mixed projection.
We derive the optimal a priori error estimates in L 2 -norm for the scalar unknown u and a priori error estimates in ( L 2 ) 2 -norm for its gradient λ and its flux σ.
Moreover, we obtain the optimal a priori error estimates in H 1 -norm for the scalar unknown u.
Finally, we obtained some numerical results to illustrate efficiency of the new method.
American Psychological Association (APA)
Wang, Jinfeng& Liu, Yang& Li, Hong& Fang, Zhichao. 2014. A New Expanded Mixed Element Method for Convection-Dominated Sobolev Equation. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1049125
Modern Language Association (MLA)
Wang, Jinfeng…[et al.]. A New Expanded Mixed Element Method for Convection-Dominated Sobolev Equation. The Scientific World Journal No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1049125
American Medical Association (AMA)
Wang, Jinfeng& Liu, Yang& Li, Hong& Fang, Zhichao. A New Expanded Mixed Element Method for Convection-Dominated Sobolev Equation. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1049125
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049125