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Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements

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Mönkölä, S. (2010). Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements. Journal of Computational and Applied Mathematics, 234, 1904-1911. https://doi.org/10.1016/j.cam.2009.08.040
Published in
Journal of Computational and Applied Mathematics
Authors
Mönkölä, Sanna
Date
2010
Discipline
TietotekniikkaMathematical Information Technology
Copyright
© Elsevier. This is an author's final draft version of an article whose final and definitive form has been published by Elsevier.

 
The classical way of solving the time-harmonic linear acousto-elastic wave problem is to discretize the equations with finite elements or finite differences. This approach leads to large-scale indefinite complex-valued linear systems. For these kinds of systems, it is difficult to construct efficient iterative solution methods. That is why we use an alternative approach and solve the time-harmonic problem by controlling the solution of the corresponding time dependent wave equation. In this paper, we use an unsymmetric formulation, where fluid-structure interaction is modeled as a coupling between pressure and displacement. The coupled problem is discretized in space domain with spectral elements and in time domain with central finite differences. After discretization, exact controllability problem is reformulated as a least-squares problem, which is solved by the conjugate gradient method.
Publisher
Elsevier
ISSN Search the Publication Forum
0377-0427
Keywords
fluid-structure interaction acoustic waves elastic waves coupled problem time-harmonic solution spectral element method controllability conjugate gradient algorithm
DOI
https://doi.org/10.1016/j.cam.2009.08.040
URI

http://urn.fi/URN:NBN:fi:jyu-201210102635

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/19276480

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