Convergence of a finite element method for scalar conservation laws with boundary conditions in two space dimensions

被引：0

作者：

Ji, XM ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2005年 / 7卷 / 02期

关键词：

finite element method; conservation law; convergence; measure-valued solution; uniqueness theorem; weighted energy estimate; superconvergence;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a finite element method for general scalar conservation laws is analyzed: convergence towards the unique solution is proved for two-dimensional space with initial and boundary conditions, by using a uniqueness theorem for measure valued solutions. The method has some advantages: it is an explicit finite element scheme, which is suitable for computing convection dominated flows and discontinuous solutions for multi-dimensional hyperbolic conservation laws. It is superior to other methods in some techniques which are flexible in dealing with convergence.

引用

页码：135 / 167

页数：33

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