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Accuracy and stability of finite element schemes for the duct transmission problemAn investigation is conducted regarding the feasibility of approaches for improving the efficiency and stability of existing finite element method (FEM) schemes, taking into account both analytical and numerical studies. Of the four schemes considered for the 'steady' problem, the Hermitian Galerkin formulation appears to be the most efficient and therefore the most suitable scheme for futher full scale implementation. The Hermitian residual least squares (RLS) scheme although comparable in accuracy for the cases considered exhibits a slight tendency to cumulative errors. The performance of both the Lagrangian element schemes considered compares poorly with that of their Hermitian element counterparts. This is particularly true of the Lagrangian RLS scheme. The presence of internal oscillatory components is an inevitable consequence of all Galerkin schemes irrespective of element type.
Document ID
19810064201
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Astley, R. J.
(Missouri Univ. Rolla, MO, United States)
Walkington, N. J.
(Missouri Univ. Rolla, MO, United States)
Eversman, W.
(Missouri-Rolla, University Rolla, MO, United States)
Date Acquired
August 11, 2013
Publication Date
October 1, 1981
Subject Category
Acoustics
Report/Patent Number
AIAA PAPER 81-2015
Meeting Information
Meeting: Aeroacoustics Conference
Location: Palo Alto, CA
Start Date: October 5, 1981
End Date: October 7, 1981
Sponsors: American Institute of Aeronautics and Astronautics
Accession Number
81A48605
Funding Number(s)
CONTRACT_GRANT: NSG-3231
Distribution Limits
Public
Copyright
Other

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