Recursive computation of the multipole expansions of layer potential integrals over simplices for efficient fast multipole accelerated boundary elements

NA Gumerov, S Kaneko, R Duraiswami - Journal of Computational Physics, 2023 - Elsevier
In boundary element methods (BEM) in R 3, matrix elements and right hand sides are
typically computed via analytical or numerical quadrature of the layer potential multiplied by …

Recursive analytical quadrature for the close evaluation of Laplace and Helmholtz layer potentials over flat boundary elements in R3

S Kaneko, NA Gumerov, R Duraiswami - Engineering Analysis with …, 2024 - Elsevier
A method for the analytical evaluation of singular and nearly singular layer potentials arising
in the collocation boundary element method for the Laplace and Helmholtz equation is …

Layer potential quadrature on manifold boundary elements with constant densities for Laplace and Helmholtz kernels in

S Kaneko, R Duraiswami - arXiv preprint arXiv:2309.07802, 2023 - arxiv.org
A method is proposed for evaluation of single and double layer potentials of the Laplace and
Helmholtz equations on piecewise smooth manifold boundary elements with constant …

Efficient Fast Multipole Accelerated Boundary Elements via Recursive Computation of Multipole Expansions of Integrals

NA Gumerov, S Kaneko, R Duraiswami - arXiv preprint arXiv:2107.10942, 2021 - arxiv.org
In boundary element methods (BEM) in $\mathbb {R}^ 3$, matrix elements and right hand
sides are typically computed via analytical or numerical quadrature of the layer potential …

Numerical Acoustics for Physical and Simulated Environments

S Kaneko - 2023 - search.proquest.com
Computer modeling and numerical analysis of acoustical phenomena have important
applications including manufacturing, audio technologies in immersive multimedia, and …