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 l...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.展开更多
文摘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.
