An iterative method for the shape reconstruction of the inverse Euler problem |
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| Authors: | Wenjing Yan Yaling He Yichen Ma |
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| Institution: | 1. Department of Mathematics Computing, School of Science, Xi'an Jiaotong University, Xi'an, Shaanxi, Peoples's Republic of China, 710049;2. Department of Thermal Engineering, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, Peoples's Republic of China, 710049 |
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| 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. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 587–596, 2012 |
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| Keywords: | domain derivative Euler equations finite element method inverse problem shape reconstruction |
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