An iterative method for the shape reconstruction of the inverse Euler problem

被引：1
|
作者：
Yan, Wenjing [1 ]
He, Yaling [2 ]
Ma, Yichen [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Sci, Dept Math Comp, Xian 710049, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Energy & Power Engn, Dept Thermal Engn, Xian 710049, Shaanxi, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 28卷 / 02期
基金：
中国国家自然科学基金;
关键词：
domain derivative; Euler equations; finite element method; inverse problem; shape reconstruction; HEAT-CONDUCTION;
D O I：
10.1002/num.20641
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is concerned with the shape reconstruction for the inviscid fluid governed by the Euler equations. By formulating the domain derivative of the Euler equations and applying a regularized Gauss-Newton iterative algorithm, the numerical examples are given for recovering the shape. The results show that our theory is useful for practical purpose and the proposed algorithm is feasible. (c) 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 587-596, 2012
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页码：587 / 596
页数：10
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