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math.NA2021
Efficient Fast Multipole Accelerated Boundary Elements via Recursive Computation of Multipole Expansions of Integrals
Nail A. Gumerov, Shoken Kaneko, Ramani Duraiswami
In boundary element methods (BEM) in , matrix elements and right hand sides are typically computed via analytical or numerical quadrature of the layer potential multi…
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★ 17 cited
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…