CONVERGENCE OF AN EXPLICIT UPWIND FINITE ELEMENT METHOD TO MULTI-DIMENSIONAL CONSERVATION LAWS

被引：0
作者：
Jinchao Xu Center for Computational Mathematics and Applications and Department of Mathematics Pennsylvania State University USA School of Mathematical Sciences Peking University Beijing China Lungan Ying School of Mathematical Scien [100871 ]
机构：
来源：
Journal of Computational Mathematics | 2001年 / 01期
关键词：
Conservation law; Finite element method; Convergence;
D O I：
暂无
中图分类号：
O241 [数值分析];
学科分类号：
070102 ;
摘要：
An explicit upwind finite element method is given for the numerical computation to multi-dimensional scalar conservation laws. It is proved that this Scheme is consistent to the equation and monotone, and the approximate solution satisfies discrete entropy inequality. To guarantee the limit of approximate solutions to be a measure valued solution, we prove an energy estimate. Then the LP strong convergence of this scheme is proved.
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页码：87 / 100
页数：14
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