Splitting positive definite mixed element method for viscoelasticity wave equation  

作　　者：Yang LIU Hong LI Wei GAO Siriguleng HE Jinfeng WANG 

机构地区：[1]School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China [2]School of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Hohhot 010051, China

出　　处：《Frontiers of Mathematics in China》2012年第4期725-742,共18页中国高等学校学术文摘·数学（英文）

基　　金：This work was supported in part by the National Natural Science Foundation of China （Grant No, 11061021）, the Program of Higher-level Talents of Inner Mongolia University （No. Z200901004）, and the Scientific Research Projection of Higher Schools of Inner Mongolia （Nos. N J10006, N J10016, NJZZ12011）.

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.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.

关 键 词：Viscoelasticity wave equation transformation splitting positive definite system mixed finite element method error estimate 

分 类 号：O175.2[理学—数学] P618.130.8[理学—基础数学]