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

被引：23

作者：

Liu, Yang ^{[1
]}

Li, Hong ^{[1
]}

Wang, Jinfeng ^{[2
]}

Gao, Wei ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

[2] Inner Mongolia Finance & Econ Coll, Sch Math & Stat, Hohhot 010070, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

MISCIBLE DISPLACEMENT; 2-GRID METHODS; APPROXIMATIONS; FLOW;

D O I：

10.1155/2012/391372

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：24

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