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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.
Cited literature [26 references]
https://hal.inria.fr/hal-02389286
Contributor : Sébastien Imperiale <>
Submitted on : Wednesday, May 27, 2020 - 9:05:40 PM
Last modification on : Friday, April 30, 2021 - 10:00:37 AM
Contributor : Sébastien Imperiale <>
Submitted on : Wednesday, May 27, 2020 - 9:05:40 PM
Last modification on : Friday, April 30, 2021 - 10:00:37 AM
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