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dc.contributor.authorSchweizer, Ben-
dc.date.accessioned2019-01-08T13:33:48Z-
dc.date.available2019-01-08T13:33:48Z-
dc.date.issued2018-12-06-
dc.identifier.urihttp://hdl.handle.net/2003/37860-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-19847-
dc.description.abstractA 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.language.isoen-
dc.subjectHelmholtz equationen
dc.subjectperforationen
dc.subjectthin layeren
dc.subjecttransmission conditionen
dc.subject.ddc610-
dc.titleEffective Helmholtz problem in a domain with a Neumann sieve perforationen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access-
eldorado.secondarypublicationfalse-
Appears in Collections:Schweizer, Ben Prof. Dr.
Preprints der Fakultät für Mathematik

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