We develop and analyze finite difference schemes for the two-dimensional Helmholtz
equation. The schemes which are based on nine-point approximation have a sixth-order …

This work is concerned with a unique combination of high order local absorbing boundary
conditions (ABC) with a general curvilinear Finite Element Method (FEM) and its …

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 …

We devise a new high order local absorbing boundary condition (ABC) for radiating
problems and scattering of time-harmonic acoustic waves from obstacles of arbitrary shape …

We present an isogeometric analysis of time-harmonic exterior acoustic problems. The
infinite space is truncated by a fictitious boundary and (simple) absorbing boundary …

We compare several local absorbing boundary conditions for solving the Helmholtz
equation, by a finite difference or finite element method, exterior to a general scatterer …

We compare several On Surface Radiation Boundary Conditions in two dimensions, for
solving the Helmholtz equation exterior to an ellipse. We also introduce a new boundary …

Local artificial boundary conditions (ABCs) for the numerical simulation of waves have been
successfully used for decades (most notably, the boundary conditions due to Engquist & …

This paper is devoted to the Non-Uniform Rational B-Spline Isogeometric analysis of the On-
Surface Radiation Condition (OSRC) method for solving two-and three-dimensional time …

The computation of exterior wave problems at low wave numbers can become prohibitively
expensive when higher circumferential modes are significant. An analysis of the effect of …