| Optimized overdetermination for interior Helmholtz problem coupled solvers. | |
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MedLine Citation:
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PMID: 19355504 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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The use of points of overdetermination, so-called CHIEF points, in numerical solutions to exterior Helmholtz problems for the elimination of spurious modes is well established. Further, the number and relative position of such points in two-dimensional radially symmetric geometries has been demonstrated theoretically. Since CHIEF points require lower computational overhead than collocation nodes, strategic use represents an opportunity for the improvement of predictions with maximal efficiency. Given the differing uniqueness properties of solutions to the interior and exterior problems, the former allows for development of optimization in the absence of competing priorities. Theory for two- and three-dimensional analytical cases is developed and subsequently extended to general geometries. Localization with respect to subdomains of spatial decomposition is investigated as well. |
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Authors:
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Alexander Bockman; Paul Calamia; Ning Xiang |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: The Journal of the Acoustical Society of America Volume: 125 ISSN: 1520-8524 ISO Abbreviation: J. Acoust. Soc. Am. Publication Date: 2009 Apr |
Date Detail:
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Created Date: 2009-04-09 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 7503051 Medline TA: J Acoust Soc Am Country: United States |
Other Details:
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Languages: eng Pagination: 2735 Citation Subset: IM |
Affiliation:
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Dept. of Architectural Acoust., RPI, 110 8th St., Troy, NY 12180, bockma@rpi.edu. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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