Isogeometric analysis is a topic of considerable interest in the field of numerical analysis.
The boundary element method (BEM) requires only the bounding surface of geometries to …

In this book we are concerned with the study of a certain class of in? nite matrices and two
important properties of them: their Fredholmness and the stability of the approximation by …

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 …

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 time-harmonic acoustic scattering in two
dimensions by convex polygons. Standard boundary or finite element methods for acoustic …

We consider two-dimensional scattering problems, formulated as an integral equation
defined on the boundary of the scattering obstacle. The oscillatory nature of high-frequency …

A complex system of linear equations arises in many important applications. We further
explore algebraic and convergence properties and present analytical and numerical …

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 propose a new robust method for the computation of scattering of high-frequency
acoustic plane waves by smooth convex objects in 2D. We formulate this problem by the …

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 …