Many of the current issues and methodologies related to finite element methods for time-
harmonic acoustics are reviewed. The effective treatment of unbounded domains is a major …

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 …

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 …

We investigate the effectiveness of the partition-of-unity finite element method for transient
conduction–radiation problems in diffusive grey media. The governing equations consist of a …

The Variational Theory of Complex Rays (VTCR) is a wave-based computational approach
dedicated to the resolution of medium-frequency problems. It uses a variational formulation …

The Variational Theory of Complex Rays (VTRC) is an approach to the simulation of mid-
frequency phenomena whose wavelengths are relatively small compared to the dimensions …

This paper proposes an extension of the variational theory of complex rays (VTCR) to three-
dimensional linear acoustics, The VTCR is a Trefftz-type approach designed for mid …

The variational theory of complex rays (VTCR) is a wave-based predictive numerical tool for
medium-frequency problems. In order to describe the dynamic field variables within the …

This paper deals with a new computational method for transient dynamic analysis which
enables one to cover both the low‐and medium‐frequency ranges. This is a frequency …