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

页码：725 / 742

页数：18

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