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。
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.
出处
《内蒙古工业大学学报(自然科学版)》
1995年第4期46-57,共12页
Journal of Inner Mongolia University of Technology:Natural Science Edition
关键词
混合元
特征有限元
地下水
水质污染
分子弥散
nonlinear hyperbolic parflbolic cotipled equation
mixed finite element
finite element method of characteristics:error estimates