Search results for "Time-harmonic solution"

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

2010

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 el…

ControllabilityDiscretizationSpectral element methodfluid-structure interactionspectral element methodacoustic wavescoupled problemTime-harmonic solutioncontrollabilityConjugate gradient methodFluid-structure interactionTime domainCoupled problemMathematicsElastic wavesSpectral element methodelastic wavestime-harmonic solutionApplied MathematicsMathematical analysisLinear systemFinite differenceFinite element methodControllabilityComputational MathematicsAcoustic wavesConjugate gradient algorithmconjugate gradient algorithmJournal of Computational and Applied Mathematics
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