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Error analysis for absorbing boundary conditions

dc.contributor.authorHalpern, Laurenceen_US
dc.contributor.authorRauch, Jeffreyen_US
dc.date.accessioned2006-09-11T17:38:18Z
dc.date.available2006-09-11T17:38:18Z
dc.date.issued1987-07en_US
dc.identifier.citationHalpern, Laurence; Rauch, Jeffrey; (1987). "Error analysis for absorbing boundary conditions." Numerische Mathematik 51(4): 459-467. <http://hdl.handle.net/2027.42/46322>en_US
dc.identifier.issn0029-599Xen_US
dc.identifier.issn0945-3245en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46322
dc.description.abstractAn estimate is derived for the error committed by the introduction of artificial boundaries and corresponding artificial boundary conditions when solving wave equations on unbounded domains. The estimate has two terms. One is proportional to the largest reflection coefficient for the artificial boundary condition, the maximum taken only on those rays which appear in the computation. The second term is proportional to 1/ k where k is a measure of the average frequency present in the solution.en_US
dc.format.extent435019 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherMathematicsen_US
dc.subject.otherCR: G1.8en_US
dc.subject.otherNumerical Analysisen_US
dc.subject.otherAppl.Mathematics/Computational Methods of Engineeringen_US
dc.subject.otherMathematical Methods in Physicsen_US
dc.subject.otherAMS(MOS): 35L20en_US
dc.subject.otherMathematics, Generalen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherNumerical and Computational Methodsen_US
dc.titleError analysis for absorbing boundary conditionsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumCentre de Mathématiques Appliquées, Ecole Polytechnique, F-91128, Palaiseau, France; Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumCentre de Mathématiques Appliquées, Ecole Polytechnique, F-91128, Palaiseau, France; Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46322/1/211_2005_Article_BF01397547.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01397547en_US
dc.identifier.sourceNumerische Mathematiken_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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