Numerical solving the linearized inverse problem for two-parameter acoustic equation
In this paper we develop а numerical algorithm for solving inverse dynamical problem: recovering two parameters of the acoustical medium (density and compressibility modulus) by boundary measurements (response operator). The solution is based on a linearized version of the Boundary Control method: the response operator explicitly ...
Numerical solving the linearized inverse boundary value problem for the dynamical Lame system
... is proposed. Results of numerical testing in 3D are presented.
1. Belishev M. I. Boundary control in reconstruction of manifolds and metrics (the BC-method) // Inverse Problems. 1997. N 13. R1—R45.
2. Belishev M. I. Boundary control method in dynamical inverse problems // An introductory course by Belishev M. I. Gladwell G. M. L., Morassi A., Editors. Dynamical Inverse Problems: Theory and Application. CISM Courses and Lectures, Vol. 529. Wien: Springer, 2011. P. 85—150.
Danilin A., Pestov L.
inverse dynamical ...
Numerical recovering an absorption coefficient by BC-method
A numerical algorithm for solving inverse dynamical problem recovering an absorption by the boundary control method is developed. The absorption coefficient is determined independently of a speed of sound, which can be an arbitrary smooth positive function. The results of numerical experiments are represented....
Numerical solution of the linearized inverse problem for acoustic equation
In this paper we develop an algorithm of numerical solution of the inverse dynamical problem about speed of sound reconstruction in horizontally layered acoustical medium. The solution is based on linearized version of the Boundary Control Method. The inverse data is the response at the single boundary point from the boundary point source; ...