Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method | Zendy

H.A.M. Ben Hamdin | Zendy; Gregor Tanner | Zendy

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Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method

Author(s) -

H.A.M. Ben Hamdin,

Gregor Tanner

Publication year - 2012

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2012/451785

Subject(s) - helmholtz free energy , boundary element method , helmholtz equation , component (thermodynamics) , mathematical analysis , mathematics , integral equation , boundary (topology) , derivative (finance) , directional derivative , set (abstract data type) , point (geometry) , element (criminal law) , boundary value problem , geometry , computer science , finite element method , physics , structural engineering , engineering , programming language , quantum mechanics , law , financial economics , political science , economics , thermodynamics

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.

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