In this review article we discuss different techniques to solve numerically the time-dependent
Schrödinger equation on unbounded domains. We present in detail the most recent …

The aim of this paper is to provide an introduction to the improved iterative Krylov solution of
boundary integral equations for time-harmonic scattering problems arising in acoustics …

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

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 addresses the derivation of new second-kind Fredholm combined field integral
equations for the Krylov iterative solution of tridimensional acoustic scattering problems by a …

A non-overlapping domain decomposition method (DDM) is proposed for the parallel finite-
element solution of large-scale time-harmonic wave problems. It is well-known that the …

The paper presents a detailed numerical study of an iterative solution to 3-D sound-hard
acoustic scattering problems at high frequency considering the Combined Field Integral …

We study the application of a B-splines Finite Element Method (FEM) to time-harmonic
scattering acoustic problems. The infinite space is truncated by a fictitious boundary and …

The fast multipole method is an efficient technique to accelerate the solution of large scale
3D scattering problems with boundary integral equations. However, the fast multipole …

High-intensity focused ultrasound (HIFU) techniques are promising modalities for the non-
invasive treatment of cancer. For HIFU therapies of, eg, liver cancer, one of the main …