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High-frequency asymptotics for the numerical solution of the Helmholtz equation

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dc.contributor.authorKim, Seongjai-
dc.contributor.authorShin, Changsoo-
dc.contributor.authorKeller, Joseph B.-
dc.date.accessioned2009-08-04-
dc.date.available2009-08-04-
dc.date.issued2005-02-08-
dc.identifier.citationAppl. Math. Lett. 18 (2005) 797-804en
dc.identifier.issn0893-9659-
dc.identifier.urihttp://hdl.handle.net/10371/6118-
dc.description.abstractIt is often noted that the Helmholtz equation is extremely difficult to solve, in particular, for high-frequency
solutions for heterogeneous media. Since stability for second-order discretization methods requires one to choose
at least 10–12 grid points per wavelength, the discrete problem on the possible coarsest mesh is huge. In a realistic
simulation, one is required to choose 20–30 points per wavelength to achieve a reasonable accuracy; this problem
is hard to solve. This article is concerned with the high-frequency asymptotic decomposition of the wavefield for
an efficient and accurate simulation for the high-frequency numerical solution of the Helmholtz equation. It has
been numerically verified that the new method is accurate enough even when one chooses 4–5 grid points per
wavelength.
en
dc.description.sponsorshipThe work of the first author is supported in part by NSF grants DMS-0107210 and DMS-0312223.en
dc.language.isoenen
dc.publisherElsevieren
dc.subjectThe Helmholtz equationen
dc.subjectHigh-frequency asymptoticsen
dc.subjectCumulative amplitudeen
dc.subjectTraveltimeen
dc.subjectGrid frequencyen
dc.titleHigh-frequency asymptotics for the numerical solution of the Helmholtz equationen
dc.typeArticleen
dc.contributor.AlternativeAuthor김성재-
dc.contributor.AlternativeAuthor신창수-
dc.identifier.doi10.1016/j.aml.2004.07.027-
Appears in Collections:
College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Energy Systems Engineering (에너지시스템공학부)Journal Papers (저널논문_에너지시스템공학부)
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