This paper presents a summary of various localized collocation schemes and their
engineering applications. The basic concepts of localized collocation methods (LCMs) are …

抄録< jats: p> Fundamentals of Fast Multipole Method (FMM) and FMM accelerated
Boundary Integral Equation Method (BIEM) are presented. Developments of FMM …

State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …

Physics-informed neural networks (PINNs) have been proposed to learn the solution of
partial differential equations (PDE). In PINNs, the residual form of the PDE of interest and its …

We study integral methods applied to the resolution of the Maxwell equations where the
linear system is solved using an iterative method which requires only matrix–vector …

Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

We describe a wideband version of the Fast Multipole Method for the Helmholtz equation in
three dimensions. It unifies previously existing versions of the FMM for high and low …

We present a new algorithm for the numerical solution of problems of acoustic scattering by
surfaces in three-dimensional space. This algorithm evaluates scattered fields through fast …

Low noise constructions receive more and more attention in highly industrialized countries.
Consequently, decrease of noise radiation challenges a growing community of engineers …

The modern scope of boundary element methods (BEM) for acoustics is reviewed in this
paper. Over the last decades the BEM has gained popularity despite suffering from …