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

We propose a Bayesian inference framework to estimate uncertainties in inverse scattering
problems. Given the observed data, the forward model and their uncertainties, we find the …

Helmholtz decompositions of elastic fields is a common approach for the solution of Navier
scattering problems. Used in the context of boundary integral equations (BIE), this approach …

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

This paper proposes and analyzes a full discretization of the exterior transient Stokes
problem with Dirichlet boundary conditions. The method is based on a single layer boundary …

We consider the problem of locating an obstacle in a waveguide from time domain
measurements of causal waves. More precisely, we assume that we are given the scattered …

In this paper we formulate a transmission problem for the transient acoustic wave equation
as a system of retarded boundary integral equations. We then analyse a fully discrete …

In this paper we present a full discretization of the layer potentials and boundary integral
operators for the elastic wave equation on a parametrizable smooth closed curve in the …

This paper presents expressions for the classical combined field integral equations for the
solution of Dirichlet and Neumann exterior Helmholtz problems on the plane, in terms of …

We present and analyse fully discrete Nyström methods for the solution of three classes of
well-conditioned boundary integral equations for the solution of two-dimensional scattering …