Organizing Committee
Abstract

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.

Confirmed Speakers & Participants

Workshop Schedule

Friday, November 3, 2017
TimeEventLocationMaterials
8:30 - 8:55Registration121 South Main Street Providence RI 11th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45Complete radiation boundary conditions and optimal grids - Thomas Hagstrom, Southern Methodist University11th Floor Lecture Hall
9:50 - 10:35Reduction methods for the Riccati equation and the solution of the linear-quadratic regulator problem - Valeria 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 restoration - Lothar 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 Domains - Rob Remis, TU Delft11th Floor Lecture Hall
2:50 - 3:35Inversion and spectrally matched reduced order models - Shari Moskow, Drexel11th Floor Lecture Hall 
3:40 - 4:10Coffee/Tea Break11th Floor Collaborative Space 
4:10 - 4:553D reservoir characterization using directional EM borehole measurements - Dzevat Omeragic, Schlumberger11th Floor Lecture Hall 

Associated Semester Workshops

Waves and Imaging in Random Media

Research Clusters