A Mixed Finite Element Formulation for the Conservative Fractional Diffusion Equations
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-16
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider a boundary-value problem of one-side conservative elliptic equation involving Riemann-Liouville fractional integral.
The appearance of the singular term in the solution leads to lower regularity of the solution of the equation, so to the lower order convergence rate for the numerical solution.
In this paper, by the dividing of equation, we drop the lower regularity term in the solution successfully and get a new fractional elliptic equation which has full regularity.
We present a theoretical framework of mixed finite element approximation to the new fractional elliptic equation and derive the error estimates for unknown function, its derivative, and fractional-order flux.
Some numerical results are illustrated to confirm the optimal error estimates.
American Psychological Association (APA)
Yang, Suxiang& Chen, Huan-zhen. 2016. A Mixed Finite Element Formulation for the Conservative Fractional Diffusion Equations. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095947
Modern Language Association (MLA)
Yang, Suxiang& Chen, Huan-zhen. A Mixed Finite Element Formulation for the Conservative Fractional Diffusion Equations. Advances in Mathematical Physics No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1095947
American Medical Association (AMA)
Yang, Suxiang& Chen, Huan-zhen. A Mixed Finite Element Formulation for the Conservative Fractional Diffusion Equations. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095947
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095947