Transmission conditions for the Helmholtzequation in perforated domains
| dc.contributor.author | Dörlemann, Christina | |
| dc.contributor.author | Heida, Martin | |
| dc.contributor.author | Schweizer, Ben | |
| dc.date.accessioned | 2015-04-29T13:18:11Z | |
| dc.date.available | 2015-04-29T13:18:11Z | |
| dc.date.issued | 2015-04-07 | |
| dc.description.abstract | We study the Helmholtz equation in a perforated domain . The domain Ωε. The domain Ωε is obtained from an open set Ω⊂ℝ³ by removing small obstacles of typical size ε > 0, the obstacles are located along a 2-dimensional manifold Γ0 ⊂Ω, We derive effective transmission conditions across Γ0 that characterize solutions in the limit ε→0O. We obtain that, to leading order O(ε0)=O(1), the perforation is invisible. On the other hand, at order O(ε1)=O(ε), inhomogeneous jump conditions for the pressure and the flux appear. The jumps can be characterized without cell problems by elementary expressions that contain the ε0-order limiting pressure function and the volume of the obstacles. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/34074 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-7307 | |
| dc.language.iso | en | |
| dc.subject | Helmholtz equation | en |
| dc.subject | perforated domain | en |
| dc.subject | transmission conditions | en |
| dc.subject | acoustic properties | en |
| dc.subject.ddc | 610 | |
| dc.title | Transmission conditions for the Helmholtzequation in perforated domains | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |