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

作　　者：刘胜[1] 阳莺[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《广西科学院学报》2012年第2期98-101,共4页Journal of Guangxi Academy of Sciences

基　　金：国家自然科学基金项目(11001062);广西教育厅基金项目(201012MS094)资助

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.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.

关 键 词：抛物型方程 误差估计 四边形网格有限体积元法 

分 类 号：O241.82[理学—计算数学]