The block Gauss-Seidel method in sound transmission problems

Author (s): Poblet-Puig, J. and Rodríguez-Ferran, A
Journal: Journal of Computational Acoustics

Volume: 18, Issue 1
Pages: 13 – 30
Date: 2010

Abstract:
Sound transmission through partitions can be modelled as an acoustic fluid-elastic structure interaction problem. The block Gauss-Seidel iterative method is used in order to solve the finite element linear system of equations. The blocks are defined, respecting he fluid and structural domains. The convergence criterion is analysed and interpreted in physical terms by means of simple one-dimensional problems. This analysis highlights the negative influence on the convergence of a strong degree of coupling between the acoustic domains and the structure. A selective coupling strategy has been developed and applied to problems with strong coupling (e.g. double walls).

Journal paper (from the publisher)  
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Bibtex:

@article{doi:10.1142/S0218396X10004036,
author = {POBLET-PUIG, J. and RODRÍGUEZ-FERRAN, A.},
title = {THE BLOCK GAUSS–SEIDEL METHOD IN SOUND TRANSMISSION PROBLEMS},
journal = {Journal of Computational Acoustics},
pages = {13-30},
volume = {18},
number = {01},
year = {2010},
doi = {10.1142/S0218396X10004036},
URL = {http://www.worldscientific.com/doi/abs/10.1142/S0218396X10004036},
eprint = {http://www.worldscientific.com/doi/pdf/10.1142/S0218396X10004036}
}