This book offers a thorough and self-contained exposition of the mathematics of time-domain
boundary integral equations associated to the wave equation, including applications to …

Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

In this paper, we present a numerical method based on the coupling between a Curved
Virtual Element Method (CVEM) and a Boundary Element Method (BEM) for the simulation …

We propose time-domain boundary integral and coupled boundary integral and variational
formulations for acoustic scattering by linearly elastic obstacles. Well-posedness along with …

A second-order Crank--Nicolson finite difference method, integrating a fast approximation of
an exact discrete absorbing boundary condition, is proposed for solving the one …

We present a new numerical approach to solve 2D exterior Helmholtz problems defined in
unbounded domains. This consists in reducing the infinite region to a finite computational …

This work is dedicated to the proof of stability and convergence of the Bérenger's perfectly
matched layers (PMLs) in the waveguides for an arbitrary nonnegative L^∞ damping …

In this work, we provide a review of recent results on the mathematical analysis of space-
time variational bilinear forms associated to transient boundary integral operators for the …

A rarely exploited advantage of time-domain boundary integral equations compared to their
frequency counterparts is that they can be used to treat certain nonlinear problems. In this …

This article considers a unilateral contact problem for the wave equation. The problem is
reduced to a variational inequality for the Dirichlet-to-Neumann operator for the wave …