29 citations · 41 across the 20 of their papers we have counts for
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A high-order accurate accelerated direct solver for acoustic scattering from surfaces
James Bremer, Adrianna Gillman, Per-Gunnar Martinsson
We describe an accelerated direct solver for the integral equations which model acoustic scattering from curved surfaces. Surfaces are specified via a collection of smooth paramete…
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
Adrianna Gillman, Alex Barnett, Per-Gunnar Martinsson
This paper presents a direct solution technique for the scattering of time-harmonic waves from a bounded region of the plane in which the wavenumber varies smoothly in space.The me…
A direct solver with O(N) complexity for variable coefficient elliptic PDEs discretized via a high-order composite spectral collocation method
A. Gillman, P. G. Martinsson
A numerical method for solving elliptic PDEs with variable coefficients on two-dimensional domains is presented. The method is based on high-order composite spectral approximations…
An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads
Adrianna Gillman, Per-Gunnar Martinsson
The large sparse linear systems arising from the finite element or finite difference discretization of elliptic PDEs can be solved directly via, e.g., nested dissection or multifro…
A fast direct solver for quasi-periodic scattering problems
Adrianna Gillman, Alex Barnett
We consider the numerical solution of the scattering of time-harmonic plane waves from an infinite periodic array of reflection or transmission obstacles in a homogeneous backgroun…