期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 46, 期 3, 页码 1250-1265出版社
SIAM PUBLICATIONS
DOI: 10.1137/060677215
关键词
discontinuous Galerkin methods; transport; reaction equation; error estimates
We show that the approximation given by the original discontinuous Galerkin method for the transport-reaction equation in d space dimensions is optimal provided the meshes are suitably chosen: the L(2)-norm of the error is of order k + 1 when the method uses polynomials of degree k. These meshes are not necessarily conforming and do not satisfy any uniformity condition; they are required only to be made of simplexes, each of which has a unique outflow face. We also find a new, element-by-element postprocessing of the derivative in the direction of the flow which superconverges with order k + 1.
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