1 citations · 1 across the 10 of their papers we have counts for
4 papers · 1 filter
A kernel-independent precorrected-FFT method
Tristan Goodwill, Owen Melia
The precorrected-FFT has been used to rapidly evaluate -body sums arising in electromagnetics and acoustics settings. It has, however, been historically limited to kernels that…
The three-dimensional Neumann Green's function for general surfaces: singular asymptotics and boundary integral methods
Alan E. Lindsay, Andrew J. Bernoff, Tristan Goodwill +1
We present an asymptotic analysis and high-order boundary integral method for the three-dimensional Neumann Green's function in general closed and smooth geometries. The Neumann Gr…
Integral equations for flexural scattering problems with periodic boundaries
Fruzsina Agocs, Tristan Goodwill, Jeremy G. Hoskins +1
We develop a method for computing the scattering of flexural waves off of a periodic wall or a periodic line of scatterers. These waves model the fluctuations of thin plates with p…
A parametrix for the surface Stokes equation
Tristan Goodwill, Jeremy Hoskins, Zydrunas Gimbutas +1
We introduce an integral equation formulation of the surface Stokes equations, constructed using two-dimensional Stokeslets. The resulting integral equations are Fredholm integral…