Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method
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 betw...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2012-0703 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553743055323136 |
|---|---|
| author | H.A.M. Ben Hamdin G. Tanner |
| author_facet | H.A.M. Ben Hamdin G. Tanner |
| author_sort | H.A.M. Ben Hamdin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-53dbd8f0bec34f23bfffc866215f8a33 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-53dbd8f0bec34f23bfffc866215f8a332025-02-03T05:53:23ZengWileyShock and Vibration1070-96221875-92032012-01-0119595796710.3233/SAV-2012-0703Multi-Component BEM for the Helmholtz Equation: A Normal Derivative MethodH.A.M. Ben Hamdin0G. Tanner1School of Mathematical Sciences, University of Nottingham, Nottingham, UKSchool of Mathematical Sciences, University of Nottingham, Nottingham, UKWe 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.http://dx.doi.org/10.3233/SAV-2012-0703 |
| spellingShingle | H.A.M. Ben Hamdin G. Tanner Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method Shock and Vibration |
| title | Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method |
| title_full | Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method |
| title_fullStr | Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method |
| title_full_unstemmed | Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method |
| title_short | Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method |
| title_sort | multi component bem for the helmholtz equation a normal derivative method |
| url | http://dx.doi.org/10.3233/SAV-2012-0703 |
| work_keys_str_mv | AT hambenhamdin multicomponentbemforthehelmholtzequationanormalderivativemethod AT gtanner multicomponentbemforthehelmholtzequationanormalderivativemethod |