3 papers
math.NA2020
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…
math.NA2019
A fast boundary integral method for high-order multiscale mesh generation
Felipe Vico, Leslie Greengard, Michael O'Neil +1
In this work we present an algorithm to construct an infinitely differentiable smooth surface from an input consisting of a (rectilinear) triangulation of a surface of arbitrary sh…
math.NA2019
Efficient high-order singular quadrature schemes in magnetic fusion
Dhairya Malhotra, Antoine J. Cerfon, Michael O'Neil +1
Several problems in magnetically confined fusion, such as the computation of exterior vacuum fields or the decomposition of the total magnetic field into separate contributions fro…