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中文摘要：
研究了二维抛物积分-微分方程的基于Crouzeix-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Ritz-Voherra投影算子并得到了它在L^2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L^2范数意义下的误差估计是最优的．
英文摘要：
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.
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