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9 papers · 2 filters
Adjoint DSMC for nonlinear Boltzmann equation constrained optimization
Russel Caflisch, Denis Silantyev, Yunan Yang
Applications for kinetic equations such as optimal design and inverse problems often involve finding unknown parameters through gradient-based optimization algorithms. Based on the…
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…
Fast multipole methods for evaluation of layer potentials with locally-corrected quadratures
Leslie Greengard, Michael O'Neil, Manas Rachh +1
While fast multipole methods (FMMs) are in widespread use for the rapid evaluation of potential fields governed by the Laplace, Helmholtz, Maxwell or Stokes equations, their coupli…
Error bounds for dynamical spectral estimation
Robert J. Webber, Erik H. Thiede, Douglas Dow +2
Dynamical spectral estimation is a well-established numerical approach for estimating eigenvalues and eigenfunctions of the Markov transition operator from trajectory data. Althoug…
A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations
Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott +1
Augmented Lagrangian preconditioners have successfully yielded Reynolds-robust preconditioners for the stationary incompressible Navier-Stokes equations, but only for specific disc…
Advanced Newton Methods for Geodynamical Models of Stokes Flow with Viscoplastic Rheologies
Johann Rudi, Yu-hsuan Shih, Georg Stadler
Strain localization and resulting plasticity and failure play an important role in the evolution of the lithosphere. These phenomena are commonly modeled by Stokes flows with visco…