University of Toronto
                  PDE/Applied Math/Analysis Seminar
                     Thursday March 30, 3:10-4pm
                          B025 Bahen Center      



SPEAKER:  Shi Jin (University of Wisconsin-Madison)

TITLE:    Computation of High Frequency Waves 
          in Heterogeneous Media

ABSTRACT: We introduce Eulerian methods that are efficient 
          in computing high frequency waves through 
          heterogeneous media. The method is based on the 
          classical Liouville equation in phase space, with 
          discontinous Hamiltonians (or singular coefficients) 
          due to the barriers or material interfaces. We 
          provide physically relavant interface conditions 
          consistent with the correct transmissions and 
          reflections, and then build the interface conditions 
          into the numerical fluxes. This method allows the 
          resolution of high frequency waves without 
          numerically resolving the small wave lengths, 
          and capture the correct transmissions and reflections 
          at the interface. Moreover, we extend the method to 
          include diffraction, and quantum barriers. 
          Applications to semiclassical limit of linear 
          Schrodinger equation, geometrical optics, elastic 
          waves, and semiconductor device modeling will be 
          discussed.

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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2005-2006 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Bob Jerrard           rjerrard@ math.toronto.edu
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