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Volume 6, Issue 4
A Level Set Method for the Inverse Problem of Wave Equation in the Fluid-Saturated Porous Media

Ying He & Bo Han

Commun. Comput. Phys., 6 (2009), pp. 793-803.

Published online: 2009-06

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  • Abstract

In this paper, a level set method is applied to the inverse problem of 2-D wave equation in the fluid-saturated media. We only consider the situation that the parameter to be recovered takes two different values, which leads to a shape reconstruction problem. A level set function is used to present the discontinuous parameter, and a regularization functional is applied to the level set function for the ill-posed problem. Then the resulting inverse problem with respect to the level set function is solved by using the damped Gauss-Newton method. Numerical experiments show that the method can recover parameter with complicated geometry and the noise in the observation data.

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@Article{CiCP-6-793, author = {Ying He and Bo Han}, title = {A Level Set Method for the Inverse Problem of Wave Equation in the Fluid-Saturated Porous Media}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {4}, pages = {793--803}, abstract = {

In this paper, a level set method is applied to the inverse problem of 2-D wave equation in the fluid-saturated media. We only consider the situation that the parameter to be recovered takes two different values, which leads to a shape reconstruction problem. A level set function is used to present the discontinuous parameter, and a regularization functional is applied to the level set function for the ill-posed problem. Then the resulting inverse problem with respect to the level set function is solved by using the damped Gauss-Newton method. Numerical experiments show that the method can recover parameter with complicated geometry and the noise in the observation data.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7706.html} }
TY - JOUR T1 - A Level Set Method for the Inverse Problem of Wave Equation in the Fluid-Saturated Porous Media AU - Ying He & Bo Han JO - Communications in Computational Physics VL - 4 SP - 793 EP - 803 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7706.html KW - AB -

In this paper, a level set method is applied to the inverse problem of 2-D wave equation in the fluid-saturated media. We only consider the situation that the parameter to be recovered takes two different values, which leads to a shape reconstruction problem. A level set function is used to present the discontinuous parameter, and a regularization functional is applied to the level set function for the ill-posed problem. Then the resulting inverse problem with respect to the level set function is solved by using the damped Gauss-Newton method. Numerical experiments show that the method can recover parameter with complicated geometry and the noise in the observation data.

Ying He and Bo Han. (2009). A Level Set Method for the Inverse Problem of Wave Equation in the Fluid-Saturated Porous Media. Communications in Computational Physics. 6 (4). 793-803. doi:
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