Splitting positive definite mixed element method for viscoelasticity wave equation

Abstract

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.

Keywords

Viscoelasticity wave equation / transformation / splitting positive definite system / mixed finite element method / error estimate

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg