ON THE CAPABILITIES OF THE DOUBLE-LAYER REPRESENTATION FOR STOKES FLOWS .2. ITERATIVE SOLUTIONS

An attractive feature of the completed-double-layer (CDL) representati on for mobility problems in Stokes flows is the fact that it can be so lved by fixed-point iteration. However, for particles in close contact and complex geometry, the spectral radius of the discretized CDL syst em approaches unity. For these cases, fixed-point iteration converges very slowly or not at all. In this paper, we furnish a proof that the CDL representation for mobility problems can be solved by other iterat ive techniques based on residual-reduction methods.