A parallel multipolar indirect boundary element method for the Neumann interior Stokes flow problem

A multipolar expansion technique is applied to the indirect formulation of the boundary element method in order to solve the two-dimensional internal Stokes ow second kind boundary value problems. The algorithm is based on a multipolar expansion for the far eld and numerical evaluation for the near eld. Due to the nature of the algorithm, it is necessary to resort to the use of an iterative solver for the resulting algebraic linear system of equations. A parallel implementation is designed to take advantage of the natural domain decomposition of fast multipolar techniques and bring further improvements.