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International Conference on Structural Engineering Dynamics – ICEDyn 2011
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Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method
H.A.M. Ben Hamdin1 and G. Tanner
11School of Mathematical Sciences, University of Nottingham, Nottingham, 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.
Copyright
Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
