中文摘要：

在h2拟平行四边形条件下，给出变系数抛物型方程一个半离散和两个全离散有限体积元格式的L2模最佳收敛阶误差估计．

英文摘要：

The volume element methods for a kind of parabolic equations with variable coefficients on quadrilateral networks are proposed. The L2 norms best convergence order error estimates for both a semidiscrete and two full-discrete finite volume element schemes for parabolic equations with variable coefficients are presented on h2 quasi-parallel quadrilateral elements.