Numerical Analysis and Scientific Computing Seminar

Integral Equation Methods for Unsteady Stokes Flow

Speaker: Shidong, NJIT and CIMS

Location: Warren Weaver Hall 1302

Date: Oct. 7, 2011, 10 a.m.

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.