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math.NA2023
Numerical simulation of an extensible capsule using regularized Stokes kernels and overset finite differences
Dhwanit Agarwal, George Biros
In this paper, we present a novel numerical scheme for simulating deformable and extensible capsules suspended in a Stokesian fluid. The main feature of our scheme is a partition-o…
math.NA2021
FMM-accelerated solvers for the Laplace-Beltrami problem on complex surfaces in three dimensions
Dhwanit Agarwal, Michael O'Neil, Manas Rachh
The Laplace-Beltrami problem on closed surfaces embedded in three dimensions arises in many areas of physics, including molecular dynamics (surface diffusion), electromagnetics (ha…