一阶双曲问题的间断流线扩散法  

THE DISCONTINUOUS-STREAMLINE DIFFUSION METHOD FOR FIRST-ORDER HYPERBOLIC EQUATION

作　　者：孙澈[1] 汤怀民[1] 吴克俭 

机构地区：[1]南开大学

出　　处：《计算数学》1998年第1期35-44,共10页Mathematica Numerica Sinica

基　　金：国家攀登计划;国家自然科学基金!19771050

摘　　要：In this paper, a new finite element method, discontinuous-streamline diffusion method, is studied for first-order linear hyperbolic equation. A discontinuity-type explicit finite element scheme with artificial diffusion parameter is constructed, the stability and optimal rate of convergence in proper norm are established for the considered scheme. Finally, a numerical example is provided to show the highly efficiency of the now scheme.In this paper, a new finite element method, discontinuous-streamline diffusion method, is studied for first-order linear hyperbolic equation. A discontinuity-type explicit finite element scheme with artificial diffusion parameter is constructed, the stability and optimal rate of convergence in proper norm are established for the considered scheme. Finally, a numerical example is provided to show the highly efficiency of the now scheme.

关 键 词：双曲问题 流线扩散 间断有限元 有限元 

分 类 号：O242.21[理学—计算数学]