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Gaussian beam methods for the helmholtz equation
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Numerisk analys, NA. KTH, Centra, SeRC - Swedish e-Science Research Centre.ORCID-id: 0000-0002-6321-8619
2014 (engelsk)Inngår i: SIAM Journal on Applied Mathematics, ISSN 0036-1399, E-ISSN 1095-712X, Vol. 74, nr 3, s. 771-793Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In this work we construct Gaussian beam approximations to solutions of the high frequency Helmholtz equation with a localized source. Under the assumption of nontrapping rays we show error estimates between the exact outgoing solution and Gaussian beams in terms of the wave number k, both for single beams and superposition of beams. The main result is that the relative local L-2 error in the beam approximations decay as k(-N/2) independent of dimension and presence of caustics for Nth order beams.

sted, utgiver, år, opplag, sider
2014. Vol. 74, nr 3, s. 771-793
Emneord [en]
Helmholtz equation, high frequency wave propagation, localized source, radiation condition
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-148654DOI: 10.1137/130916072ISI: 000338833400009Scopus ID: 2-s2.0-84903946369OAI: oai:DiVA.org:kth-148654DiVA, id: diva2:736915
Forskningsfinansiär
Swedish e‐Science Research Center
Merknad

QC 20140811

Tilgjengelig fra: 2014-08-11 Laget: 2014-08-11 Sist oppdatert: 2017-12-05bibliografisk kontrollert

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