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

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Conservation law Finite element method Convergence.
• 年，卷（期）: 2001,（1）
• 页码范围: 87-100
• 页数: 14页
• 分类号: O1
• 语种: 英文

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.