A comparison between the high-frequency Boundary Element Method and Surface-Based Geometrical Acoustics

Hybrid Boundary Element Method in Acoustics

The aim of the present paper is, to employ the Hybrid Stress Boundary Element Method for the computation of acoustic scattering and radiation in innnite domains. The introduced method is based on multi-eld variational principles and leads to symmetric matrices. Starting from Hellinger-Reissner's principle in the frequency domain a two-eld hybrid principle for acoustics is developed allowing for...

Wave-based Discretizations A high-frequency boundary element method for a transmission scattering problem

We consider time-harmonic scattering by penetrable polygonal obstacles in 2D. We present a boundary element method (BEM) based on a hybrid numerical-asymptotic (HNA) approximation space built from oscillatory basis functions. The basis functions are carefully chosen to capture the leading order terms in the highfrequency asymptotic behaviour of the boundary solution. Numerical experiments sugge...

Evaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method

This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM). A semi-analytical solution is sought in the region close to the vicinity of the crack tip using the SBFEM, whilst, the ESFEM is used for the rest of the domain. As both methods satisfy the partition of unity...

Time Domain Boundary Element Method for Room Acoustics

Time-domain analysis of transient structural acoustics problems based on the finite element method and a novel absorbing boundary element

This paper is concerned with the development of an efficient and accurate finite element procedure for the solution directly in the time domain of transient problems involving structures submerged in an infinite acoustic fluid. The central feature of the procedure is a novel impedance, or, absorbing boundary, element that is used to render the computational domain finite. This element is local ...