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 …

This review article revisits and outlines the perfectly matched layer (PML) method and its
various formulations developed over the past 25 years for the numerical modeling and …

Our interest in the study and computation of electromagnetic fields started during the 1990s.
For Franck Assous, it originated from the need to compute precisely the motion of charged …

This paper presents a new non-overlapping domain decomposition method for the
Helmholtz equation, whose effective convergence is quasi-optimal. These improved …

This article addresses the efficient finite element solution of exterior acoustic problems with
truncated computational domains surrounded by perfectly matched layers (PMLs). The PML …

In this work, we demonstrate the application of PHT-splines for time-harmonic acoustic
problems, modeled by the Helmholtz equation. Solutions of the Helmholtz equation have …

This paper deals with the design and validation of accurate local absorbing boundary
conditions set on convex polygonal and polyhedral computational domains for the finite …

This paper is concerned with a priori C∞ regularity for three-dimensional doubly periodic
travelling gravity waves whose fundamental domain is a symmetric diamond. The existence …

This paper presents new stability estimates for the scalar Helmholtz equation with a complex-
valued Robin boundary condition as well as Dirichlet and Neumann boundary conditions …

We derive different classes of generalized impedance boundary conditions for the scattering
problem from strongly absorbing obstacles. Compared to existing works, our construction is …