抛物积分-微分方程的Mortar型有限体积元方法H^1-范数的误差估计  

Mortar Finite Volume Element Method for Parabolic Integro-differential Equations:H^1 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）》2005年第3期175-183,共9页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(19972039;10271066);烟台大学博士基金(SX03B20).

摘　　要：研究了二维抛物积分微分方程的基于Crouzeix Raviart非协调元的Mortar型有限体积元方法.为了得到误差估计,我们引进了Mortar型Ritz Volterra投影算子并得到了它在H1范数意义下的逼近性质.最后我们证明了微分方程的真解和Mortar型有限体积元方程的解在H1范数意义下的误差估计是最优的.We consider a mortar finite volume element method for two-dimensional parabolic integro-differential equations.This method is based on the mortar Crouzeix-Raviart nonconforming finite element space.In order to get the error estimates,we introduce the Ritz-Volterra projection and obtain its approximation property in H^1 norm.It is proved that the mortar finite volume element approximation derived are convergent with the optimal order in H^1-norm.

关 键 词：Mortar型有限体积元 cmuzeix—Raviart元 微分积分方程 误差估计 

分 类 号：O241.82[理学—计算数学]