5 papers
An efficient and highly accurate solver for multi-body acoustic scattering problems involving rotationally symmetric scatterers
Sijia Hao, Per-Gunnar Martinsson, Patrick Young
A numerical method for solving the equations modeling acoustic scattering is presented. The method is capable of handling several dozen scatterers, each of which is several wave-le…
A high-order Nystrom discretization scheme for boundary integral equations defined on rotationally symmetric surfaces
P. Young, S. Hao, P. G. Martinsson
A scheme for rapidly and accurately computing solutions to boundary integral equations (BIEs) on rotationally symmetric surfaces in R^3 is presented. The scheme uses the Fourier tr…
High-order accurate Nystrom discretization of integral equations with weakly singular kernels on smooth curves in the plane
S. Hao, A. H. Barnett, P. G. Martinsson +1
Boundary integral equations and Nystrom discretization provide a powerful tool for the solution of Laplace and Helmholtz boundary value problems. However, often a weakly-singular k…
A direct solver with O(N) complexity for integral equations on one-dimensional domains
Adrianna Gillman, Patrick Young, Per-Gunnar Martinsson
An algorithm for the direct inversion of the linear systems arising from Nystrom discretization of integral equations on one-dimensional domains is described. The method typically…
A Direct Solver for the Rapid Solution of Boundary Integral Equations on Axisymmetric Surfaces in Three Dimensions
Patrick M. Young, Per-Gunnar Martinsson
A scheme for rapidly and accurately computing solutions to boundary integral equations (BIEs) on rotationally symmetric surfaces in three dimensions is presented. The scheme uses t…