Splitting positive definite mixed element method for viscoelasticity wave equation

被引：8
|
作者：
Liu, Yang [1 ]
Li, Hong [1 ]
Gao, Wei [1 ]
He, Siriguleng [1 ]
Wang, Jinfeng [2 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
[2] Inner Mongolia Finance & Econ Coll, Sch Math & Stat, Hohhot 010051, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2012年 / 7卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Viscoelasticity wave equation; transformation; splitting positive definite system; mixed finite element method; error estimate; POROUS-MEDIA; MISCIBLE DISPLACEMENT; HYPERBOLIC-EQUATIONS; FLOW;
D O I：
10.1007/s11464-012-0183-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A splitting positive definite mixed finite element method is proposed for second-order viscoelasticity wave equation. The proposed procedure can be split into three independent symmetric positive definite integro-differential sub-system and does not need to solve a coupled system of equations. Error estimates are derived for both semidiscrete and fully discrete schemes. The existence and uniqueness for semidiscrete scheme are proved. Finally, a numerical example is provided to illustrate the efficiency of the method.
引用
收藏
页码：725 / 742
页数：18
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