76 citations · 163 across the 5 of their papers we have counts for
6 papers
An O(N) and parallel approach to integral problems by a kernel-independent fast multipole method: Application to polarization and magnetization of interacting particles
Xikai Jiang, Jiyuan Li, Xujun Zhao +5
Large classes of materials systems in physics and engineering are governed by magnetic and electrostatic interactions. Continuum or mesoscale descriptions of such systems can be ca…
An Efficient Algorithm for Classical Density Functional Theory in Three Dimensions: Ionic Solutions
Matthew G. Knepley, Dmitry A. Karpeev, Seth Davidovits +2
Classical density functional theory (DFT) of fluids is a valuable tool to analyze inhomogeneous fluids. However, few numerical solution algorithms for three-dimensional systems exi…
Mesh Algorithms for PDE with Sieve I: Mesh Distribution
Matthew G. Knepley, Dmitry A. Karpeev
We have developed a new programming framework, called Sieve, to support parallel numerical PDE algorithms operating over distributed meshes. We have also developed a reference impl…
A model of hydrodynamic interaction between swimming bacteria
Vitaliy Gyrya, Igor S. Aranson, Leonid V. Berlyand +1
We study the dynamics and interaction of two swimming bacteria, modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair of elongated s…
Effective Viscosity of Dilute Bacterial Suspensions: A Two-Dimensional Model
Brian M. Haines, Igor S. Aranson, Leonid Berlyand +1
Suspensions of self-propelled particles are studied in the framework of two-dimensional (2D) Stokesean hydrodynamics. A formula is obtained for the effective viscosity of such susp…
Local Lagrangian Formalism and Discretization of the Heisenberg Magnet Model
D. Karpeev, C. M. Schober
In this paper we develop the Lagrangian and multisymplectic structures of the Heisenberg magnet (HM) model which are then used as the basis for geometric discretizations of HM. Des…