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math.NA2021
A fast spectral method for electrostatics in doubly-periodic slit channels
Ondrej Maxian, Raul P. Peláez, Leslie Greengard +1
We develop a fast method for computing the electrostatic energy and forces for a collection of charges in doubly-periodic slabs with jumps in the dielectric permittivity at the sla…
math.NA2020
An integral-based spectral method for inextensible slender fibers in Stokes flow
Ondrej Maxian, Alex Mogilner, Aleksandar Donev
Every animal cell is filled with a cytoskeleton, a dynamic gel made of inextensible fibers, such as microtubules, actin fibers, and intermediate filaments, all suspended in a visco…
math.NA2020
An immersed boundary method with subgrid resolution and improved numerical stability applied to slender bodies in Stokes flow
Ondrej Maxian, Charles S. Peskin
The immersed boundary method is a numerical and mathematical formulation for solving fluid-structure interaction problems. It relies on solving fluid equations on an Eulerian fluid…