Abstract:
The numerical solution of inverse or optimization problems in seismic
wave propagation is a great challenge. The character of the waveforms
leads to highly nonlinear problems, and the choice of suitable
discretization and regularization schemes and parameters is a focus of
current research. Accurate space-time discretizations of, say, the
Los Angeles basin are only tractable using massive parallelization.
Even so, a full inversion may run for days. Thus, it makes sense to
look at distinctly smaller problems in order to achieve a much shorter
turnaround time for experimentation. In this talk, I will concentrate
on the one-dimensional problem, which allows the study of many crucial
features, and comment on different techniques and results.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.