The interaction of fibers in a viscous (Stokes) fluid plays a crucial role in industrial and
biological processes, such as sedimentation, rheology, transport, cell division, and …

While fast multipole methods (FMMs) are in widespread use for the rapid evaluation of
potential fields governed by the Laplace, Helmholtz, Maxwell or Stokes equations, their …

We describe a computational framework for simulating suspensions of rigid particles in
Newtonian Stokes flow. One central building block is a collision-resolution algorithm that …

A second-order accurate kernel-free boundary integral method is presented for Stokes flow
and linear elasticity boundary value problems on three-dimensional irregular domains. It …

We present a new derivation of a boundary integral equation (BIE) for simulating the three-
dimensional dynamics of arbitrarily-shaped rigid particles of genus zero immersed in a …

We show that the standard boundary integral operators, defined on the unit sphere, for the
Stokes equations diagonalize on a specific set of vector spherical harmonics and provide …

We present a fluctuating boundary integral method (FBIM) for overdamped Brownian
Dynamics (BD) of two-dimensional periodic suspensions of rigid particles of complex shape …

Well-conditioned boundary integral methods for the solution of elliptic boundary value
problems (BVPs) are powerful tools for static and dynamic physical simulations. When there …

We develop numerical methods to simulate the fluid-mechanical erosion of many bodies in
two-dimensional Stokes flow. The broad aim is to simulate the erosion of a porous medium …

We present a spectrally accurate scheme to turn a boundary integral formulation for an
elliptic PDE on a single unit cell geometry into one for the fully periodic problem. The basic …