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math.NA2021★ 1 cited
Analytical computation of boundary integrals for the Helmholtz equation in three dimensions
Nail A. Gumerov, Ramani Duraiswami
A key issue in the solution of partial differential equations via integral equation methods is the evaluation of possibly singular integrals involving the Green's function and its…
math.NA2021
Fast multipole accelerated boundary element methods for room acoustics
Nail A. Gumerov, Ramani Duraiswami
The direct and indirect boundary element methods, accelerated via the fast multipole method, are applied to numerical simulation of room acoustics for large rooms of volume $\sim 1…
math.NA2020
Laplace Green's Functions for Infinite Ground Planes with Local Roughness
Nail Gumerov, Ramani Duraiswami
The Green's functions for the Laplace equation respectively satisfying the Dirichlet and Neumann boundary conditions on the upper side of an infinite plane with a circular hole are…