64 citations · 170 across the 11 of their papers we have counts for
12 papers
Construction of polynomial particular solutions of linear constant-coefficient partial differential equations
Thomas G. Anderson, Marc Bonnet, Luiz M. Faria +1
This paper introduces general methodologies for constructing closed-form solutions to linear constant-coefficient partial differential equations (PDEs) with polynomial right-hand s…
Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation
Thomas G. Anderson, Marc Bonnet, Luiz M. Faria +1
This article presents a high-order accurate numerical method for the evaluation of singular volume integral operators, with attention focused on operators associated with the Poiss…
Shape optimization of peristaltic pumps transporting rigid particles in Stokes flow
Marc Bonnet, Ruowen Liu, Shravan Veerapaneni +1
This paper presents a computational approach for finding the optimal shapes of peristaltic pumps transporting rigid particles in Stokes flow. In particular, we consider shapes that…
Optimal Ciliary Locomotion of Axisymmetric Microswimmers
Hanliang Guo, Hai Zhu, Ruowen Liu +2
Many biological microswimmers locomote by periodically beating the densely-packed cilia on their cell surface in a wave-like fashion. While the swimming mechanisms of ciliated micr…
General-purpose kernel regularization of boundary integral equations via density interpolation
Luiz M. Faria, Carlos Pérez-Arancibia, Marc Bonnet
This paper presents a general high-order kernel regularization technique applicable to all four integral operators of Calderón calculus associated with linear elliptic PDEs in two…
Optimal slip velocities of micro-swimmers with arbitrary axisymmetric shapes
Hanliang Guo, Hai Zhu, Ruowen Liu +2
This article presents a computational approach for determining the optimal slip velocities on any given shape of an axisymmetric micro-swimmer suspended in a viscous fluid. The obj…