Advances in Model Reduction with Application to Inverse Scattering Problems
(November 3, 2017)


Model order reduction is a wide topic in computational mathematics that is generally used to approximate the response of complex systems. A recent development in this field is concerned with using reduced order models for solving efficiently and accurately inverse problems for partial differential equations. Such reduced order models are called data driven, because they are constructed from data interpolation conditions. Moreover, they are designed to respect the physics of the problem, such as loss of resolution away from the surface of measurements in diffusive inverse problems and causality conditions in inverse problems for the wave equation. This workshop will be focused on this novel approach to inversion, with particular emphasis on applications to inverse scattering problems arising in seismic imaging. The workshop will also celebrate the work of Dr. Vladimir Druskin, who has been making outstanding contributions to this field.

Organizing Committee

  • Liliana Borcea
    (University of Michigan)
  • Alexander Mamonov
    (University of Houston)
  • Shari Moskow
    (Drexel University)
  • Mikhail Zaslavsky

= speaker    = poster presenter

Friday November 3, 2017
Time Description Speaker Location Abstracts Slides
8:30 - 8:55Registration121 South Main Street Providence RI 11th Floor Collaborative Space
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 9:45Complete radiation boundary conditions and optimal gridsThomas Hagstrom, Southern Methodist University11th Floor Lecture Hall
9:50 - 10:35Reduction methods for the Riccati equation and the solution of the linear-quadratic regulator problemValeria Simoncini, University of Bologna11th Floor Lecture Hall
10:40 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 11:45Generalized Krylov subspace methods for l_p-l_q minimization with application to image restorationLothar Reichel, Kent State11th Floor Lecture Hall
11:50 - 12:00Group Photo11th Floor Lecture Hall
12:00 - 2:00Break for Lunch / Free Time
2:00 - 2:45Efficient Wavefield Simulators Based on Krylov Model-Order Reduction Techniques - From Resonators to Open DomainsRob Remis, TU Delft11th Floor Lecture Hall
2:50 - 3:35Inversion and spectrally matched reduced order modelsShari Moskow, Drexel11th Floor Lecture Hall
3:40 - 4:10Coffee/Tea Break11th Floor Collaborative Space
4:10 - 4:553D reservoir characterization using directional EM borehole measurementsDzevat Omeragic, Schlumberger11th Floor Lecture Hall