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Reduced order methods applied to aeroacoustic problems solved by integral equations

Abstract : This thesis has two topics : numerical methods for acoustic wave propagation in a flow and reduced order models. In the first topic, we develop a coupled finite element and boundary element method to solve the convected Helmholtz equation, when the flow is uniform outside a bounded domain. In particular, we propose a formulation that is well-posed at all the frequencies of the source. In the second topic, we propose a solution to the classical problem of round-off error accumulation that occurs when computing the a posteriori error bound in the reduced basis method. Furthermore, we propose a non intrusive method for the approximation, in a separated representation form, of linear systems resulting from the finite-dimensional approximation of boundary-value problems depending on one or several parameters
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Submitted on : Thursday, March 20, 2014 - 11:07:12 AM
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  • HAL Id : pastel-00961528, version 1



Fabien Casenave. Reduced order methods applied to aeroacoustic problems solved by integral equations. General Mathematics [math.GM]. Université Paris-Est, 2013. English. ⟨NNT : 2013PEST1076⟩. ⟨pastel-00961528⟩



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