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

Wenjing Yan; Yaling He; Yichen Ma

doi:10.1002/num.20641

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

Wenjing Yan
, Yaling He
, Yichen Ma

School of Energy and Power Engineering

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	587-596
Number of pages	10
Journal	Numerical Methods for Partial Differential Equations
Volume	28
Issue number	2
DOIs	https://doi.org/10.1002/num.20641
State	Published - Mar 2012

Keywords

Euler equations
domain derivative
finite element method
inverse problem
shape reconstruction

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10.1002/num.20641

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title = "An iterative method for the shape reconstruction of the inverse Euler problem",

abstract = "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.",

keywords = "Euler equations, domain derivative, finite element method, inverse problem, shape reconstruction",

author = "Wenjing Yan and Yaling He and Yichen Ma",

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AB - 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.

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KW - domain derivative

KW - finite element method

KW - inverse problem

KW - shape reconstruction

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M3 - 文章

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

Abstract

Keywords

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