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An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation

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Airaksinen, T., Heikkola, E., Pennanen, A., & Toivanen, J. (2007). An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation. Journal Of Computational Physics, 226(1), 1196-1210. https://doi.org/10.1016/j.jcp.2007.05.013
Published in
Journal Of Computational Physics
Authors
Airaksinen, Tuomas |
Heikkola, Erkki |
Pennanen, Anssi |
Toivanen, Jari
Date
2007
Discipline
TietotekniikkaMathematical Information Technology
Copyright
© Elsevier

 
A preconditioner defined by an algebraic multigrid cycle for a damped Helmholtz operator is proposed for the Helmholtz equation. This approach is well suited for acoustic scattering problems in complicated computational domains and with varying material properties. The spectral properties of the preconditioned systems and the convergence of the GMRES method are studied with linear, quadratic, and cubic finite element discretizations. Numerical experiments are performed with two-dimensional problems describing acoustic scattering in a cross-section of a car cabin and in a layered medium. Asymptotically the number of iterations grows linearly with respect to the frequency while for lower frequencies the growth is milder. The proposed preconditioner is particularly effective for low-frequency and mid-frequency problems.
Publisher
Elsevier
ISSN Search the Publication Forum
0021-9991
Keywords
Algebrallinen multigrid-menetelmä äärellisten elementtien menetelmä GMRES Helmholzin yhtälö pohjustin Algebraic multigrid method Helmholtz equation Preconditioner elementtimenetelmä

Original source
http://dx.doi.org/10.1016/j.jcp.2007.05.013

DOI
https://doi.org/10.1016/j.jcp.2007.05.013
URI

http://urn.fi/URN:NBN:fi:jyu-20112211790

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/17032229

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  • Informaatioteknologian tiedekunta [1793]

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