Frontiers of Mathematics in China >
Splitting positive definite mixed element method for viscoelasticity wave equation
Received date: 21 Feb 2011
Accepted date: 20 Oct 2011
Published date: 01 Aug 2012
Copyright
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.
Yang LIU , Hong LI , Wei GAO , Siriguleng HE , Jinfeng WANG . Splitting positive definite mixed element method for viscoelasticity wave equation[J]. Frontiers of Mathematics in China, 2012 , 7(4) : 725 -742 . DOI: 10.1007/s11464-012-0183-8
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