3 papers
math.NA2026
A general-purpose global regularization method for 3D volume integral operators
Thomas G. Anderson, Marc Bonnet, Luiz M. Faria +1
Singular volume integral operators associated with constant-coefficient partial differential operators extend the applicability of potential theory to inhomogeneous problems, for e…
physics.flu-dyn2026
Squirmers with arbitrary shape and slip: modeling, simulation, and optimization
Kausik Das, Hai Zhu, Marc Bonnet +1
We consider arbitrary-shaped microswimmers of spherical topology and propose a framework for expressing their slip velocity in terms of tangential basis functions defined on the bo…
math.NA2026
Slip optimization on arbitrary 3D microswimmers: a reduced-dimension and boundary-integral framework
Marc Bonnet, Kausik Das, Shravan Veerapaneni +1
This article presents a computational framework for determining the optimal slip velocity of a microswimmer with arbitrary three-dimensional geometry suspended in a viscous fluid.…