Convergence analysis on seismic tomography for inverse problems of acoustic wave propagation. (English) Zbl 1498.65151
Summary: In this paper, we provide a rigorous convergence analysis for the inverse problems of acoustic wave propagation arising from seismic tomography. Specifically, we obtain the error estimates for three cases: 1. Standard seismic tomography; 2. Seismic tomography with approximation to sensitivity kernel; 3. Seismic tomography with Tikhonov regularization.
MSC:
| 65M32 | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 76Q05 | Hydro- and aero-acoustics |
| 86A15 | Seismology (including tsunami modeling), earthquakes |
| 86A22 | Inverse problems in geophysics |
