四边形网格上变系数抛物型方程有限体积元法的L^2模误差估计

L^2 Error Estimates of the Finite Volume Element Methods for Parabolic Equations with Variable Coefficients on Quadrilateral Meshes

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.

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.