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Mathematical analysis of a penalization strategy for incompressible elastodynamics

Abstract : This work addresses the mathematical analysis - by means of asymptotic analysis - of a penalisation strategy for the full discretisation of elastic wave propagation problems in quasi-incompressible media that has been recently developed by the authors. We provide a convergence analysis of the solution of the continuous version of the penalised problem towards its formal limit when the penalisation parameter tends to infinity. Moreover, as a fundamental intermediate step we provide an asymptotic analysis of the convergence of solutions of quasi-incompressible problems towards solutions of purely incompressible problems when the incompressibility parameter tends to infinity. Finally, we further detail the regularity assumptions required to guarantee that the mentioned convergence holds.
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Contributor : Sébastien Imperiale Connect in order to contact the contributor
Submitted on : Wednesday, May 27, 2020 - 9:05:40 PM
Last modification on : Monday, June 27, 2022 - 3:04:02 AM


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  • HAL Id : hal-02389286, version 2


Federica Caforio, Sébastien Imperiale. Mathematical analysis of a penalization strategy for incompressible elastodynamics. Asymptotic Analysis, IOS Press, In press. ⟨hal-02389286v2⟩



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