In this article we describe recent progress on the design, analysis and implementation of
hybrid numerical-asymptotic boundary integral methods for boundary value problems for the …

An absolutely stable weak Galerkin (WG) finite element method is introduced and analysed
for the Helmholtz equation. This means that the stability and well-posedness of the method …

The polygon scaled boundary finite element method is semi-analytical and known for its
high precision. However, the material nonlinearity cannot be maintained because this …

This paper presents a newly developed fast model order reduction boundary element
method (FMORBEM) for three-dimensional acoustic wave problems with the impedance …

In this paper we consider the problem of scattering of time-harmonic acoustic waves by a
bounded, sound soft obstacle in two and three dimensions, studying dependence on the …

We consider the classical coupled, combined‐field integral equation formulations for time‐
harmonic acoustic scattering by a sound soft bounded obstacle. In recent work, we have …

We study the classical combined field integral equation formulations for time-harmonic
acoustic scattering by a sound soft bounded obstacle, namely the indirect formulation due to …

A weak Galerkin (WG) method is introduced and numerically tested for the Helmholtz
equation. This method is flexible by using discontinuous piecewise polynomials and retains …

In this paper we consider the impedance boundary value problem for the Helmholtz
equation in a half-plane with piecewise constant boundary data, a problem which models …

An error analysis is presented for the spectral-Galerkin method to the Helmholtz equation in
2-and 3-dimensional exterior domains. The problem in unbounded domains is first reduced …