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.
出处
《烟台大学学报（自然科学与工程版）》
CAS
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)
