中文摘要：

本文给出—类非线性抛物型偏积分微分方程的H^1-Galerkin混合有限元方法．给出了一维空间的半离散、全离散格式及最优阶误差估计，并将该方法推广到二维和三维空间．

英文摘要：

In this paper, an H^1-Galerkin mixed finite element is proposed to simulate nonlinear parabolic partial integro-differential equations. The problem is considered in ndimension （n ≤3） space, respectively. The optimal error estimates of the semi-discrete and fully discrete H^1-Galerkin mixed finite element are established.