An iterative method for the shape reconstruction of the inverse Euler problem
β Scribed by Wenjing Yan; Yaling He; Yichen Ma
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 112 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
β¦ Synopsis
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 GaussβNewton 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. Β© 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 587β596, 2012
π SIMILAR VOLUMES
## On the Inverse Problem of Imbalance Reconstruction for Aircraft Engines A method for identifying the distributed rotor imbalance from aircraft engine vibrations measured on the casing of the engine is presented. The problem is heavily ill-posed. Nonlinear regularization techniques for linear in
A numerical method for a nonlinear inversion problem for the 2D wave equation with a potential is discussed. In order to avoid the ill-posedness, we substitute a coupled system of one-way wave equations for the original wave equation. An iterative algorithm is constructed to improve the accuracy of
## Abstract The problem of determining the shape of perfectly conducting cylindrical structures with arbitrary cross sections from electromagnetic scattering data is considered. Applying the method of lines, an efficient procedure is found for determining the shape of a cylinder from its electromag
This article is concerned with iterative techniques for linear systems of equations arising from a least squares formulation of boundary value problems. In its classical form, the solution of the least squares method is obtained by solving the traditional normal equation. However, for nonsmooth boun