Journal of Environmental Engineering (Transactions of AIJ)
Online ISSN : 1881-817X
Print ISSN : 1348-0685
ISSN-L : 1348-0685
SOUND FIELD ANALYSIS OF ROOMS BY TIME DOMAIN FINITE ELEMENT METHOD WITH AN ITERATIVE METHOD
Takeshi OKUZONOToru OTSURUNoriko OKAMOTOReiji TOMIKU
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2008 Volume 73 Issue 628 Pages 701-706

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Abstract
An iterative method is applied to time domain finite element method (TDFEM) to reduce the computational cost. First, eigenvalues distributions of coefficient matrix [A] of linear systems [A]{χ} = {b} arise in TDFEM are calculated to reveal the matrix property for basic sound field analysis. Then, convergence behaviors of preconditioned COCG method are shown for practical sound field analyses. Results show that [A] of [A]{χ} = {b} arise in TDFEM has good property, which leads fast convergence of preconditioned COCG method, and the method converges with about 20 iterations per time step regardless of sound field and degrees of freedom if convergence criterion be set to 10-6.
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© 2008 Architectural Institute of Japan
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