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具有分子弥散的地下水水质污染模型的混合元──特征有限元方法
引用本文:杨晓忠,陈小刚.具有分子弥散的地下水水质污染模型的混合元──特征有限元方法[J].内蒙古工业大学学报,1995(4).
作者姓名:杨晓忠  陈小刚
作者单位:西安交通大学理学院,内蒙古工业大学基础部
摘    要:本文研究地下水水质污染理论中的一类非线性双曲一抛物耦合方程组的混合元一特征有限元方法,给出两类椭圆投影及其误差估计,构造出混合元-特征有限元全离散格式,证明了格式在H1模度量意义下的最优阶估计。

关 键 词:非线性双曲一抛物耦合方程组,混合元,特征有限元,误差估计

THE SOLUTION TO THE CONTAMINATION MODEL OF GROUNDWATER QUALITY WITH MOLECULAR DISPERSION BY USING MIXED FINITE-ELEMENT AND CHARACTERISTIC FINITE-ELEMENT COMBINED METHOD
Yang Xiaozhong, Chen Xiaogang.THE SOLUTION TO THE CONTAMINATION MODEL OF GROUNDWATER QUALITY WITH MOLECULAR DISPERSION BY USING MIXED FINITE-ELEMENT AND CHARACTERISTIC FINITE-ELEMENT COMBINED METHOD[J].Journal of Inner Mongolia Polytechnic University(Social Sciences Edition),1995(4).
Authors:Yang Xiaozhong  Chen Xiaogang
Institution:Yang Xiaozhong1, Chen Xiaogang2
Abstract:In this paper,a nonlinear hyperbolic-parabolic coupled system is derived so as to describegroundwater quality contamination,A numerical method(mixed finite element and characteristic finite element combined method)is introduced.Two elliptic projections and their error estimates are given,Afull time discrete scheme of the method is presented.Optimal orderestimates in H' are proved for this scheme.
Keywords:nonlinear hyperbolic parflbolic cotipled equation  mixed finite element  finite element method of characteristics:error estimates
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