In this work, we introduce a novel abstract framework for the stability and convergence analysis of fully coupled discretisations of the poroelasticity problem and apply it to the analysis of Hybrid High-Order (HHO) schemes. A relevant feature of the proposed framework is that it rests on mild time regularity assumptions that can be derived from an appropriate weak formulation of the continuous problem. To the best of our knowledge, these regularity results for the Biot problem are new. A novel family of HHO discretisation schemes is also proposed and analysed, and their performance numerically evaluated.
(2021). An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods [journal article - articolo]. In COMPUTERS & MATHEMATICS WITH APPLICATIONS. Retrieved from http://hdl.handle.net/10446/168791
An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods
Botti, Lorenzo;
2021-01-01
Abstract
In this work, we introduce a novel abstract framework for the stability and convergence analysis of fully coupled discretisations of the poroelasticity problem and apply it to the analysis of Hybrid High-Order (HHO) schemes. A relevant feature of the proposed framework is that it rests on mild time regularity assumptions that can be derived from an appropriate weak formulation of the continuous problem. To the best of our knowledge, these regularity results for the Biot problem are new. A novel family of HHO discretisation schemes is also proposed and analysed, and their performance numerically evaluated.File | Dimensione del file | Formato | |
---|---|---|---|
abbho.pdf
Solo gestori di archivio
Versione:
postprint - versione referata/accettata senza referaggio
Licenza:
Licenza default Aisberg
Dimensione del file
542.25 kB
Formato
Adobe PDF
|
542.25 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo