Model Reduction for High-frequency Wave Scattering

PI: Laurent Demanet, Department of Mathematics, MIT

The proposed research project aims at designing new methods of model reduction for computational wave propagation, in order to deal with currently out-of-reach situations where the unknowns number in the billions. To bypass the limitations of all-purpose methods, this project will explore nonlinear optimization ideas under the name of phase tracking. The set of tools provided by model reduction is needed for making progress with the resolution of seismic imaging, and for providing measures of uncertainty in the results.

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