Computer Science NASC Seminar

Integral Equation Methods for Unsteady Stokes Flow

Shidong, NJIT and CIMS

October 07, 2011 10:00AM
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 10012-1110
(Directions)

Fall 2011 NASC Seminars Calendar

Synopsis

This is joint work with Shravan Veerapaneni at University of Michigan
and Leslie Greengard at Courant Institute.

Integral equation methods have been very successful in solving boundary
value problems of elliptic PDEs. Here we discuss integral equation
formulations and numerical algorithms for solving the unsteady Stokes
flow. Specifically, we start from the fundamental solutions
and define initial, volume, single, and double layer
potentials associated with unsteady Stokes flow. We then present
integral equation formulations for various initial-boundary value problems
of the unsteady Stokes flow. Finally, numerical algorithms are constructed
and several examples will be shown to illustrate the well-conditioning and
accuracy of the scheme.


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