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High-frequency asymptotics for the numerical solution of the Helmholtz equation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Seongjai | - |
dc.contributor.author | Shin, Changsoo | - |
dc.contributor.author | Keller, Joseph B. | - |
dc.date.accessioned | 2009-08-04 | - |
dc.date.available | 2009-08-04 | - |
dc.date.issued | 2005-02-08 | - |
dc.identifier.citation | Appl. Math. Lett. 18 (2005) 797-804 | en |
dc.identifier.issn | 0893-9659 | - |
dc.identifier.uri | https://hdl.handle.net/10371/6118 | - |
dc.description.abstract | It 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.sponsorship | The work of the first author is supported in part by NSF grants DMS-0107210 and DMS-0312223. | en |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.subject | The Helmholtz equation | en |
dc.subject | High-frequency asymptotics | en |
dc.subject | Cumulative amplitude | en |
dc.subject | Traveltime | en |
dc.subject | Grid frequency | en |
dc.title | High-frequency asymptotics for the numerical solution of the Helmholtz equation | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 김성재 | - |
dc.contributor.AlternativeAuthor | 신창수 | - |
dc.identifier.doi | 10.1016/j.aml.2004.07.027 | - |
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