Medizinische Universität Graz Austria/Österreich - Forschungsportal - Medical University of Graz
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Caforio, F; Imperiale, S.
Mathematical analysis of a penalisation strategy for incompressible elastodynamics
ASYMPTOTIC ANAL. 2021; 122(3-4): 225-255.
Doi: 10.3233/ASY-201617
Web of Science
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- 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 to 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 to quasi-incompressible problems towards solutions to 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.
- Find related publications in this database (Keywords)
- Elastodynamics
- incompressibility
- asymptotic analysis