期刊
出版社
EDP SCIENCES S A
DOI: 10.1051/m2an/2009013
关键词
Finite volume method; conservation law; curved manifold
This paper studies a family of finite volume schemes for the hyperbolic scalar conservation law u(t) + del(g) . f( x, u) = 0 on a closed Riemannian manifold M. For an initial value in BV( M) we will show that these schemes converge with a h 1/4 convergence rate towards the entropy solution. When M is 1-dimensional the schemes are TVD and we will show that this improves the convergence rate to h 1/2.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据