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 - <p style="text-align: justify;">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.</p>