土壤溶质运移问题的最小二乘混合有限元法  

Least-Squares Mixed Finite Element Method for Two-Dimensional Soil Solute Transport Equation

作　　者：刘知雨 王桂霞[1] 王娟[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《肇庆学院学报》2014年第2期12-15,共4页Journal of Zhaoqing University

基　　金：国家自然科学基金资助项目(11361039);教育部自然科学基金资助项目(212029);内蒙古自然科学基金资助项目(2013MS0116);内蒙古教育厅自然科学基金资助项目(NJZZ13037)

摘　　要：给出了非粘性土壤溶质运移问题的最小二乘混合有限元法,利用该方法将方程降阶对方程进行离散,并构造最小二乘混合有限元格式.最小二乘混合有限元方法可以避免标准混合有限元格式中的ladyzhenskaya-babuska-brezzi(LBB)限制条件.通过分析此逼近格式的收敛性,给出相应的误差估计,误差表明此种数值方法具有最优的收敛阶.The least-squares mixed finite element method is used to solve two-dimensional soil solute transport equation and a least-squares mixed-nite element scheme is constructed by lowering the order of the equations and discretizing the lowered equations.The advantage of this method is that it is not subject to Ladyzhenskaya-babuska-brezzi（LBB） condition.Through the analysis of the convergence of the approximation gives the corresponding error estimation,error indicates that this numerical method with optimal order of convergency.

关 键 词：最小二乘 土壤溶质运移问题 混合有限元法 误差估计 

分 类 号：O241.2[理学—计算数学]