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• W2034626996 startingPage "771" @default.
• W2034626996 abstract "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 $N$th order beams." @default.
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• W2034626996 date "2014-01-01" @default.
• W2034626996 modified "2023-10-11" @default.
• W2034626996 title "Gaussian Beam Methods for the Helmholtz Equation" @default.
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• W2034626996 doi "https://doi.org/10.1137/130916072" @default.
• W2034626996 hasPublicationYear "2014" @default.
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