An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods - Archive ouverte HAL Access content directly
Journal Articles Computers & Mathematics with Applications Year : 2021

An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods

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 proposed and analysed, and their performance numerically evaluated.
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Dates and versions

hal-02398946 , version 1 (08-12-2019)

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Lorenzo Botti, Michele Botti, Daniele Antonio Di Pietro. An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods. Computers & Mathematics with Applications, 2021, 91, pp.150-175. ⟨10.1016/j.camwa.2020.06.004⟩. ⟨hal-02398946⟩
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