Domain Decomposition Methods with Frequency Band
Interpolation for Computational Acoustics
Lonny L. Thompson and Limin Zhang and Robert P. Ingel
Advanced Computational Mechanics Research Laboratory
Department of Mechanical Engineering and Engineering Mechanics
Clemson University
Clemson, South Carolina 29634-0921
Proceedings of The
2001 ASME International Mechanical Engineering Congress and Exposition},
November 11-16, 2001, New York, New York. Noise Control and Acoustics
Division, Symposium on Computational Acoustics,
The American Society of Mechanical Engineers, Vol. 3, IMECE2001/NCA-23532
pp. 1-15.
Abstract
Interpolation over frequency (wavenumber) bands with
domain decomposition (substructure) methods is used to provide fast
solutions to wave problems when large numbers of frequency evaluations
are required. Dispersion analysis is used to quantify the accuracy of
the frequency interpolation for both generalized Schur complement
and regularized FETI-H substructuring methods.
Wavenumber-frequency dispersion
relations are compared with different numbers of
condensed internal nodes, numbers of interpolation points, and
frequency band size. Several numerical examples are performed
which validate the conclusions made in the dispersion analysis.