海水入浸问题特征有限元法及H1-误差估计

海水入浸问题特征有限元法及H¹-误差估计

龙晓瀚^1,2

1. 山东大学数学与系统科学学院, 山东济南250100; 2. 烟台师范学院数学院，山东烟台264025

收稿日期:2005-03-22 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 龙晓瀚^1,2

H¹-Error estimates for characteristicfiniteelement method of seawater intrusionproblem

LONG Xiao-han^1,2

1. School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China;2. Depart. Math., Yantai Normal College, Yantai 264025, Shandong, China

Received:2005-03-22 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LONG Xiao-han^1,2

摘要/Abstract

摘要： 海水入浸问题的数学模型是定义在二维有界区域上的耦合抛物型偏微分方程组．分别用有限元法和特征有限元法离散压力方程和饱和度方程, 建立模型新的特征有限元逼近程序，得到逼近解的最优阶H¹-模误差估计.

关键词: 海水入浸, 特征有限元, H¹-误差估计

Abstract: For simulation of seawater intrusion problem, the pressure equation is approximated by finite element method and the concentration equation is approximated by characteristicfinite element method. New discrete scheme is presented. Optimal rate H¹-norm error estimates are derived.

Key words: optimal rate convergence of H¹-norm , characteristicfinite element, seawater intrusion

中图分类号:

O141.82

龙晓瀚, . 海水入浸问题特征有限元法及H¹-误差估计[J]. J4, 2006, 41(1): 86-91 .

LONG Xiao-han, . H¹-Error estimates for characteristicfiniteelement method of seawater intrusionproblem[J]. J4, 2006, 41(1): 86-91 .

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海水入浸问题特征有限元法及H¹-误差估计

H¹-Error estimates for characteristicfiniteelement method of seawater intrusionproblem

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