We consider the numerical solution of the wave equation with impedance boundary
conditions and start from a boundary integral formulation for its discretization. We develop …

In this paper an inverse obstacle scattering problem for the Helmholtz equation with
nonlinear impedance boundary condition is considered. For a certain class of nonlinearities …

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 …

We consider 2D transient linear wave propagation problems defined in the exterior of
bounded domains. In particular, we first consider the problem represented by the classical …

This work presents a probabilistic scheme for solving semilinear nonlocal diffusion
equations with volume constraints and integrable kernels. The nonlocal model of interest is …

This paper studies time-dependent electromagnetic scattering from obstacles that are
described by dispersive material laws. We consider the numerical treatment of a scattering …

The scattering of electromagnetic waves from obstacles with wave-material interaction in
thin layers on the surface is described by generalized impedance boundary conditions …

A coercivity property of temporal convolution operators is an essential tool in the analysis of
time-dependent boundary integral equations and their space and time discretizations. It is …

This work studies time-dependent electromagnetic scattering from obstacles whose
interaction with the wave is fully determined by a nonlinear boundary condition. In particular …

Generalized impedance boundary conditions are effective approximate boundary conditions
that describe scattering of waves in situations where the wave interaction with the material …