抛物积分-微分方程的Mortar型有限体积元方法L^2范数的误差估计  

Mortar Finite Volume Element Method for Parabolic Integro-differential Equations:L^2 Error Estimation

作　　者：毕春加[1] 

机构地区：[1]烟台大学数学与信息科学系,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2006年第2期98-105,共8页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(10471079);烟台大学博士基金资助项目(SX03B20)

摘　　要：研究了二维抛物积分-微分方程的基于Crouze ix-Raviart元的Mortar型有限体积元方法.为了得到误差估计,引进了Mortar型R itz-Volterra投影算子并得到了它在L2范数意义下的逼近性质;证明了微分方程的真解和Mortar型有限体积元方程的解在L2-范数意义下的误差估计是最优的.A mortar finite volume element method for two-dimensional parabolic integro-differential equations is studied. This method is based on the mortar Crouzeiz-Raviart finite element space. In order to get the error estimates, the mortar Ritz-Volterra projection is introduced and its approximation property in L^2 norm is obtained. It is proved that the mortar finite volume element approximation derived are convergent with the optimal order in L^2 -norm.

关 键 词：Mortar型有限体积元 CROUZEIX-RAVIART元 微分积分方程 误差估计 

分 类 号：O241.82[理学—计算数学]