A stabilized coupled method and its optimal error estimates for elliptic interface problems

被引：1

作者：

Yu, Jiaping ^{[1
,2
]}

Shi, Feng ^{[3
]}

Zhao, Jianping ^{[4
,5
]}

机构：

[1] Donghua Univ, Coll Sci, Shanghai, Peoples R China

[2] Donghua Univ, Inst Nonlinear Sci, Shanghai, Peoples R China

[3] Harbin Inst Technol, Coll Sci, Shenzhen, Peoples R China

[4] Xinjiang Univ, Coll Math & Syst Sci, Urumqi, Peoples R China

[5] Xinjiang Univ, Inst Math & Phys, Urumqi, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期

关键词：

The interface problem; Stabilized method; Couple method; Optimal error estimates; FINITE-ELEMENT-METHOD; FLUID-FLOW; EQUATIONS; NONSMOOTH;

D O I：

10.1186/s13662-019-2332-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a stabilized coupled algorithm for solving elliptic interface problems, mainly by introducing the jump of the solutions along the interface. A framework of theoretical proofs is provided to show the optimal error estimates of this stabilized method. Several numerical experiments are carried out to demonstrate the computational stability and effectiveness of the method.

引用

页数：13

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