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Gaussian beam metho...
Gaussian beam methods for the helmholtz equation
- Article/chapterEnglish2014
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Society for Industrial & Applied Mathematics (SIAM),2014
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LIBRIS-ID:oai:DiVA.org:kth-148654
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https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-148654URI
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https://doi.org/10.1137/130916072DOI
Supplementary language notes
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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QC 20140811
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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.
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Ralston, James
(author)
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Runborg, OlofKTH,Numerisk analys, NA,SeRC - Swedish e-Science Research Centre(Swepub:kth)u1na5bn9
(author)
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Tanushev, Nicolay M.
(author)
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KTHNumerisk analys, NA
(creator_code:org_t)
Related titles
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In:SIAM Journal on Applied Mathematics: Society for Industrial & Applied Mathematics (SIAM)74:3, s. 771-7930036-13991095-712X
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