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水污染问题特征有限元方法的数值计算及理论分析 被引量:2

Numerical Analysis of Characteristic Finite Element Method for Water Contamination Problem
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摘要 本文研究了水污染二维对流占优数学模型特征有限元方法的计算问题 ,导出的计算格式对时间变量用特征线方法离散 ,对空间变量用Galerkin有限元方法离散 ,得到的H1 模和L2 Characteristic finite element method solving two dimentional convection dominated water contamination problem is considered in this paper.The scheme combines Garlerkin discretization in the space variables with the characteristic discretization in the time variables.AH 1 norm error estimate as well as a L 2 norm one are derived respectively,which are both optimal order results.
作者 王焕
出处 《应用数学》 CSCD 北大核心 2003年第2期42-49,共8页 Mathematica Applicata
关键词 水污染 特征有限元方法 数值计算 H^1-模误差估计 L^2-模误差估计 离散Galerkin引理 特征线法 GALERKIN有限元法 Characteristic finite element method Convergence analysis H 1 norm error estimate L 2 norm error estimate
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