77 citations · 550 across the 45 of their papers we have counts for
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The Spectral Ewald method for singly periodic domains
Davoud Saffar Shamshirgar, Anna-Karin Tornberg
We present a fast and spectrally accurate method for efficient computation of the three dimensional Coulomb potential with periodicity in one direction. The algorithm is FFT-based…
Fast Ewald summation for free-space Stokes potentials
Ludvig af Klinteberg, Davoud Saffar Shamshirgar, Anna-Karin Tornberg
We present a spectrally accurate method for the rapid evaluation of free-space Stokes potentials, i.e. sums involving a large number of free space Green's functions. We consider su…
A fast integral equation method for solid particles in viscous flow using quadrature by expansion
Ludvig af Klinteberg, Anna-Karin Tornberg
Boundary integral methods are advantageous when simulating viscous flow around rigid particles, due to the reduction in number of unknowns and straightforward handling of the geome…
Estimation of quadrature errors in layer potential evaluation using quadrature by expansion
Ludvig af Klinteberg, Anna-Karin Tornberg
In boundary integral methods it is often necessary to evaluate layer potentials on or close to the boundary, where the underlying integral is difficult to evaluate numerically. Qua…