Splitting positive definite mixed element method for viscoelasticity wave equation

被引：0
|
作者：
Yang Liu
Hong Li
Wei Gao
Siriguleng He
Jinfeng Wang
机构：
[1] Inner Mongolia University,School of Mathematical Sciences
[2] Inner Mongolia Finance and Economics College,School of Statistics and Mathematics
来源：
Frontiers of Mathematics in China | 2012年 / 7卷
关键词：
Viscoelasticity wave equation; transformation; splitting positive definite system; mixed finite element method; error estimate; 65N12; 65N30; 65M60;
D O I：
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中图分类号：
学科分类号：
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.
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页码：725 / 742
页数：17
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