Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces

被引：2
|
作者：
Wang, Quanxiang [1 ]
Xie, Jianqiang [2 ]
Zhang, Zhiyue [2 ]
机构：
[1] Nanjing Agr Univ, Coll Engn, Nanjing, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing, Peoples R China
来源：
APPLICABLE ANALYSIS | 2022年 / 101卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Nonconforming; immersed finite element; interface; optimal control; DISCONTINUOUS COEFFICIENTS; BOUNDARY METHOD; MIXED METHODS; EQUATIONS; APPROXIMATION; OPTIMIZATION; CONVERGENCE; ALGORITHM; ACCURACY; ORDER;
D O I：
10.1080/00036811.2020.1802431
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces. The immersed finite element space is constructed based on the rotated-Q1 nonconforming finite elements with the integral-value degrees of freedom. The method can overcome the difficulties encountered by conforming immersed finite element method. We derive error estimates for the control, state and adjoint state in both energy andnorms. Numerical results are reported to support the theoretical analysis.
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页码：2197 / 2216
页数：20
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