Applied Interdisciplinary Mathematics

Date:  Friday, February 01, 2013
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  A fast algorithm for spherical grid rotations and its application to singular quadrature

Abstract:   We present a fast and accurate algorithm for evaluating singular integral operators on smooth surfaces that are globally parametrized by spherical coordinates. Problems of this type arise, for example, in simulating Stokes flows with particulate suspensions and in multi-particle scattering calculations. For smooth surfaces, spherical harmonic expansions are commonly used for geometry representation and the evaluation of the singular integrals is carried out with a spectrally accurate quadrature rule on a set of rotated spherical grids. We propose a new algorithm, nearly optimal in computational complexity, that interpolates function values on the rotated spherical grids via hybrid nonuniform Fast Fourier Transforms.


Speaker:  Shravan Veerapaneni
Institution:  University of Michigan

Event Organizer:   Peter Miller    millerpd@umich.edu

 

Edit this event (login required).
Add new event (login required).
For access requests and instructions, contact math-webmaster@umich.edu

Back to previous page
Back to UM Math seminars/events page.

   

Department of Mathematics   |   2074 East Hall   |  530 Church Street  
Ann Arbor, MI 48109-1043
Phone: 734.764-0335   |   Fax: 734.763-0937

The page last modified Tuesday, 02-Oct-2012 14:00:35 EDT
Site errors should be directed to math-webmaster@umich.edu