4.5 Article

Geometric error of finite volume schemes for conservation laws on evolving surfaces

期刊

NUMERISCHE MATHEMATIK
卷 128, 期 3, 页码 489-516

出版社

SPRINGER HEIDELBERG
DOI: 10.1007/s00211-014-0621-5

关键词

-

资金

  1. German Research Foundation (DFG) [SFB TR 71]
  2. German National Academic Foundation (Studienstiftung des Deutschen Volkes)
  3. German Research Foundation (DFG)

向作者/读者索取更多资源

This paper studies finite volume schemes for scalar hyperbolic conservation laws on evolving hypersurfaces of . We compare theoretical schemes assuming knowledge of all geometric quantities to (practical) schemes defined on moving polyhedra approximating the surface. For the former schemes error estimates have already been proven, but the implementation of such schemes is not feasible for complex geometries. The latter schemes, in contrast, only require (easily) computable geometric quantities and are thus more useful for actual computations. We prove that the difference between approximate solutions defined by the respective families of schemes is of the order of the mesh width. In particular, the practical scheme converges to the entropy solution with the same rate as the theoretical one. Numerical experiments show that the proven order of convergence is optimal.

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。

评论

主要评分

4.5
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据