4 papers
An accelerated Poisson solver based on multidomain spectral discretization
Tracy Babb, Adrianna Gillman, Sijia Hao +1
This paper presents a numerical method for variable coefficient elliptic PDEs with mostly smooth solutions on two dimensional domains. The PDE is discretized via a multi-domain spe…
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…