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 …

This article describes a fast direct solver (ie, not iterative) for partial hierarchically semi-
separable systems. This solver requires a storage of\mathcal O (N\log N) O (N log N) and …

This article is mainly devoted to a review on fast BEMs for elastodynamics, with particular
attention on time-harmonic fast multipole methods (FMMs). It also includes original results …

Fast multipole methods (FMM) are a fundamental operation for the simulation of many
physical problems. The high-performance design of such methods usually requires to …

In this work, we study the accuracy and efficiency of hierarchical matrix (H-matrix) based fast
methods for solving dense linear systems arising from the discretization of the 3D …

In this article, the construction of nested bases approximations to discretizations of integral
operators with oscillatory kernels is presented. The new method has log-linear complexity …

This chapter presents an introduction to the solution of time-harmonic acoustic problems by
a boundary element method (BEM). Specifically, the Helmholtz equation with admittance …

High performance fast multipole method is crucial for the numerical simulation of many
physical problems. In a previous study, we have shown that task‐based fast multipole …

Stochastic inverse modeling deals with the estimation of functions from sparse data, which is
a problem with a nonunique solution, with the objective to evaluate best estimates …

In some applications, it is reasonable to assume that geodesics (rays) have a consistent
orientation so that the Helmholtz equation may be viewed as an evolution equation in one of …