Journal of Applied Mathematics

A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations

Yang Liu, Hong Li, Jinfeng Wang, and Wei Gao

Full-text: Open access

Abstract

A new positive definite expanded mixed finite element method is proposed for parabolic partial integrodifferential equations. Compared to expanded mixed scheme, the new expanded mixed element system is symmetric positive definite and both the gradient equation and the flux equation are separated from its scalar unknown equation. The existence and uniqueness for semidiscrete scheme are proved and error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are provided to confirm our theoretical analysis.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 391372, 24 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495177

Digital Object Identifier
doi:10.1155/2012/391372

Mathematical Reviews number (MathSciNet)
MR2948092

Zentralblatt MATH identifier
1251.65140

Citation

Liu, Yang; Li, Hong; Wang, Jinfeng; Gao, Wei. A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations. J. Appl. Math. 2012 (2012), Article ID 391372, 24 pages. doi:10.1155/2012/391372. https://projecteuclid.org/euclid.jam/1355495177


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