Multi-component BEM for the Helmholtz equation: A normal derivative method

Issue title: International Conference on Structural Engineering Dynamics – ICEDyn 2011

Article type: Research Article

Authors: Hamdin, H.A.M. Ben | Tanner, G.

Affiliations: School of Mathematical Sciences, University of Nottingham, Nottingham, UK

Note: [] Corresponding author: G. Tanner, School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK. E-mail: Gregor.Tanner@nottingham.ac.uk

Abstract: We describe a multi-component boundary element method for predicting wave energy distributions in a complex built-up system with material properties changing discontinuously at boundaries between sub-components. We point out that depending on the boundary conditions and the number of interfaces between sub-components, it may be advantageous to use a normal derivative method to set up the integral kernels. We describe how the resulting hypersingular integral kernels can be regularised. The method can be used to minimise the number of weakly singular integrals thus leading to BEM formulations which are easier to handle.

Keywords: Multi-component boundary element method, hypersingular integral, Helmholtz equation, green function

DOI: 10.3233/SAV-2012-0703

Journal: Shock and Vibration, vol. 19, no. 5, pp. 957-967, 2012