Recursive computation of the multipole expansions of layer potential integrals over simplices for efficient fast multipole accelerated boundary elements
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 …
typically computed via analytical or numerical quadrature of the layer potential multiplied by …
Efficient exact quadrature of regular solid harmonics times polynomials over simplices in R3
S Kaneko, R Duraiswami - Engineering Analysis with Boundary Elements, 2024 - Elsevier
A generalization of a recently introduced recursive numerical method (Gumerov et al., 2023)
for the exact evaluation of integrals of regular solid harmonics and their normal derivatives …
for the exact evaluation of integrals of regular solid harmonics and their normal derivatives …
Analytical Galerkin Boundary Integrals of Laplace Kernel Layer Potentials in
A method for analytical computation of the double surface integrals for all layer potential
kernels associated with the Laplace Green's function in the Galerkin boundary element …
kernels associated with the Laplace Green's function in the Galerkin boundary element …
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 …
Helmholtz equations on piecewise smooth manifold boundary elements with constant …
Efficient Exact Quadrature of Regular Solid Harmonics Times Polynomials Over Simplices in
S Kaneko, R Duraiswami - arXiv preprint arXiv:2307.12202, 2023 - arxiv.org
A generalization of a recently introduced recursive numerical method for the exact
evaluation of integrals of regular solid harmonics and their normal derivatives over simplex …
evaluation of integrals of regular solid harmonics and their normal derivatives over simplex …
Efficient Fast Multipole Accelerated Boundary Elements via Recursive Computation of Multipole Expansions of Integrals
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 …
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 …
applications including manufacturing, audio technologies in immersive multimedia, and …