A radiation box domain truncation scheme for the wave equation

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dc.contributor.authorSchäffner, Mathias
dc.contributor.authorSchweizer, Ben
dc.contributor.authorTjandrawidjaja, Yohanes
dc.date.accessioned2022-04-08T07:52:02Z
dc.date.available2022-04-08T07:52:02Z
dc.date.issued2022-03
dc.description.abstractWe consider the wave equation in an unbounded domain and are interested in domain truncation methods. Our aim is to develop a numerical scheme that allows calculations for truncated waveguide geometries with periodic coefficient functions. The scheme is constructed with radiation boxes that are attached to the artificially introduced boundaries. A Dirichlet-to-Neumann operator N is calculated in these radiation boxes. Efficiency of the scheme is obtained by calculating N not with an iteration, but with a single run through the time interval. We observe speed-up factors of up to 20 in comparison to calculations without domain truncation.en
dc.identifier.urihttp://hdl.handle.net/2003/40843
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22700
dc.language.isoen
dc.relation.ispartofseriesPreprints der Fakultät für Mathematik;2022-01
dc.subjectwave equationen
dc.subjecttransparent boundary conditionen
dc.subjectdomain truncationen
dc.subject.ddc610
dc.titleA radiation box domain truncation scheme for the wave equationen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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