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
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