The art of coarse Stokes: algorithmic developments for zero Reynolds number biological flow

The method of regularized stokeslets has provided an accessible approach for solving biological Stokes flow problems, in particular cell motility and cilia-driven flow for over a decade. In this talk we describe and benchmark some recent algorithmic developments in this method relating to `coarse force' discretization, Richardson extrapolation, higher order accurate `blobs', inclusion of the double layer potential, and GPU acceleration. Alone and in combination, these approaches are capable of significantly extending the scientific scope of the method.