Effective Helmholtz problem in a domain with a Neumann sieve perforation
| dc.contributor.author | Schweizer, Ben | |
| dc.date.accessioned | 2019-01-08T13:33:48Z | |
| dc.date.available | 2019-01-08T13:33:48Z | |
| dc.date.issued | 2018-12-06 | |
| dc.description.abstract | A first order model for the transmission of waves through a sound-hard perforation along an interface is derived. Mathematically, we study the Neumann problem for the Helmholtz equation in a complex geometry, the domain contains a periodic array of inclusions of size ε > 0 along a co-dimension 1 manifold. We derive effective equations that describe the limit as ε → 0. At leading order, the Neumann sieve perforation has no effect; the corrector is given by a Helmholtz equation on the unperturbed domain with jump conditions across the interface. The corrector equations are derived with unfolding methods in L^1-based spaces. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/37860 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-19847 | |
| dc.language.iso | en | |
| dc.subject | Helmholtz equation | en |
| dc.subject | perforation | en |
| dc.subject | thin layer | en |
| dc.subject | transmission condition | en |
| dc.subject.ddc | 610 | |
| dc.title | Effective Helmholtz problem in a domain with a Neumann sieve perforation | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access | |
| eldorado.secondarypublication | false |