Title of article :
Comparison between the shifted-Laplacian preconditioning and the controllability methods for computational acoustics
Author/Authors :
Airaksinen، نويسنده , , Tuomas and Mِnkِlن، نويسنده , , Sanna، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Pages :
7
From page :
1796
To page :
1802
Abstract :
Processes that can be modelled with numerical calculations of acoustic pressure fields include medical and industrial ultrasound, echo sounding, and environmental noise. We present two methods for making these calculations based on Helmholtz equation. The first method is based directly on the complex-valued Helmholtz equation and an algebraic multigrid approximation of the discretized shifted-Laplacian operator; i.e. the damped Helmholtz operator as a preconditioner. The second approach returns to a transient wave equation, and finds the time-periodic solution using a controllability technique. We concentrate on acoustic problems, but our methods can be used for other types of Helmholtz problems as well. Numerical experiments show that the control method takes more CPU time, whereas the shifted-Laplacian method has larger memory requirement.
Keywords :
Computational acoustics , Exact controllability , Helmholtz equation , Algebraic multigrid method , preconditioner , spectral element method , Finite element method
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
2010
Journal title :
Journal of Computational and Applied Mathematics
Record number :
1555773
Link To Document :
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