Nitsche-XFEM for a time fractional diffusion interface problem

被引：0
|
作者：
Tao Wang [1 ]
Yanping Chen [2 ]
机构：
[1] China Nuclear Power Technology Research Institute Co.Ltd.
[2] School of Mathematical Sciences,South China Normal University
来源：
ScienceChina(Mathematics) | 2024年 / 67卷 / 03期
基金：
国家自然科学基金重点项目; 中国博士后科学基金; 中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
In this paper, we propose a space-time finite element method for a time fractional diffusion interface problem. This method uses the low-order discontinuous Galerkin(DG) method and the Nitsche extended finite element method(Nitsche-XFEM) for temporal and spatial discretization, respectively. Sharp pointwise-in-time error estimates in graded temporal grids are derived, without any smoothness assumptions on the solution.Finally, three numerical examples are provided to verify the theoretical results.
引用
收藏
页码：665 / 682
页数：18
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