@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} }