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Fall 2005 Schedule

Tuesday, September 13, 2005
Inverse Problems Seminar
Speaker: Joyce R. McLaughlin, RPI
Joint with Math Colloquium
Title: Tissue Shear Stiffness Imaging Using Ultrasound or MR data
Location: Amos Eaton 411
Time: 3:00 - 4:00 pm

This talk will describe several experiments, the resultant data sets, models, analysis and algorithms for creating tissue shear stiffness images.

Monday, October 3, 2005
Inverse Problems Seminar
Speaker: Chrysoula Tsogka, University of Chicago
Joint with Math Colloquium
Title: The fictitious domain method and applications in wave propagation problems
Location: Walker 5113
Time: 4:00pm - 5:00pm

This work falls within the more general framework of developing efficient numerical methods for approximating wave propagation in complex media such as anisotropic heterogeneous media with cracks or objects of arbitrary shapes. We consider here the case of the elastic wave equation with a free surface boundary condition on the crack (or the object). To solve this problem in an efficient way we propose to use a fictitious domain approach. This method allows us to work with uniform meshes independent of the geometry of the cracks (or the objects), the boundary condition being taken into account via the introduction of a Lagrange multiplier. The robustness of the method will be illustrated with several numerical results concerning applications in non destructive testing and seismic wave propagation.




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