An adaptive high-order unfitted finite element method for elliptic interface problems

被引：0
|
作者：
Zhiming Chen
Ke Li
Xueshuang Xiang
机构：
[1] Chinese Academy of Sciences,LSEC, Academy of Mathematics and Systems Science
[2] University of Chinese Academy of Sciences,School of Mathematical Science
[3] Information Engineering University,Department of Basic
[4] China Academy of Space Technology,Qian Xuesen Laboratory of Space Technology
来源：
Numerische Mathematik | 2021年 / 149卷
关键词：
65N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We design an adaptive unfitted finite element method on the Cartesian mesh with hanging nodes. We derive an hp-reliable and efficient residual type a posteriori error estimate on K-meshes. A key ingredient is a novel hp-domain inverse estimate which allows us to prove the stability of the finite element method under practical interface resolving mesh conditions and also prove the lower bound of the hp a posteriori error estimate. Numerical examples are included.
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页码：507 / 548
页数：41
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