19 citations · 126 across the 17 of their papers we have counts for
17 papers
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…
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…
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…
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…
Boundary Element Solution of Electromagnetic Fields for Non-Perfect Conductors at Low Frequencies and Thin Skin Depths
Nail A. Gumerov, Ross N. Adelman, Ramani Duraiswami
A novel boundary element formulation for solving problems involving eddy currents in the thin skin depth approximation is developed. It is assumed that the time-harmonic magnetic f…
GPU accelerated fast multipole boundary element method for simulation of 3D bubble dynamics in potential flow
Nail A. Gumerov, Yulia A. Pityuk, Olga A. Abramova +1
A numerical method for simulation of bubble dynamics in three-dimensional potential flows is presented. The approach is based on the boundary element method for the Laplace equatio…