Abstract The Wave Based Method is a deterministic prediction technique to solve steady-
state dynamic problems and is developed to overcome some of the frequency limitations …

Over the last decade, Computer Aided Engineering (CAE) tools have become essential in
the assessment and optimization of the acoustic characteristics of products and processes …

In this paper we address the generalized finite element method for the Helmholtz equation.
We obtain our method by employing the finite element method on Cartesian meshes, which …

An approach, called the" Variational Theory of Complex Rays," was proposed recently for
calculating the vibrations of slightly damped elastic structures in the medium-frequency …

In Part I [T. Strouboulis, I. Babuška, R. Hidajat, The generalized finite element method for
Helmholtz equation: theory, computation, and open problems, Comput. Methods Appl. Mech …

This paper discusses the use of the Wave Based Method for the analysis of time-harmonic
three-dimensional (3D) interior acoustic problems. Conventional element-based prediction …

Computer simulation of the propagation and interaction of linear waves is a core task in
computational science and engineering. It is fundamentally important in a wide range of …

The calculation of the acoustic response of systems in frequency bands is becoming
increasingly important in simulation-based engineering design. This is particularly true in …

In this paper we study the q-version of the Partition of Unity Method for the Helmholtz
equation. The method is obtained by employing the standard bilinear finite element basis on …

The Wave Based Method (WBM) is an alternative numerical prediction method for both
interior and exterior steady-state dynamic problems, which is based on an indirect Trefftz …