摘要
为了避免标准混合有限元格式中的Ladyzhenskaya-babuska-brezzi(LBB)限制条件,给出一种二维土壤溶质输运方程的最小二乘混合有限元方法.利用该方法将方程降阶后对方程进行离散,构造了最小二乘混合有限元格式.通过分析逼近格式的收敛性,给出相应的误差估计,结果表明,这种数值方法具有最优的收敛阶.
In order to avoid the Ladyzhenskaya-babuska-brezzi (LBB)limiting conditions in Standard mixed finite element format,the least-squares mixed finite element method of two-dimensional soil solute transport equation is discussed.A least-squares mixed finite element scheme is constructed by lowering the order of the equations.Through the analysis of the convergence of the approximation gives the correspond-ing error estimation.Error indicates that this numerical method has optimal order of convergency.
出处
《内蒙古师范大学学报(自然科学汉文版)》
CAS
北大核心
2014年第2期142-145,共4页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
教育部重点项目(212029)
内蒙古自然基金资助项目(2013MS0116)
内蒙古高等学校科学研究重点项目(NJZZ13037)
关键词
土壤溶质输运方程
最小二乘混合有限元方法
逼近格式
收敛性
soil solute transport equation
the least-squares mixed finite element method
approxima-tion
the convergence