In this paper, we consider the boundary integral equation (BIE) corresponding to the Brinkmans equation. We compute the velocities of the... Show moreIn this paper, we consider the boundary integral equation (BIE) corresponding to the Brinkmans equation. We compute the velocities of the interacting particles when the point-wise forces acting on them are known. We assume a ctitious ow point inside the bead and eliminate the double-layer in the BIE. This BIE is now numerically solved by covering the surface of the bead by two overlapping patches and de ning their partition of unity. We then discuss the e ect of the overlapping of the patches on the results. We develop a second-order accurate numerical method for the BIE. ix M.S. in Applied Mathematics, December 2014 Show less
