On robust discretization methods for poroelastic problems: Numerical examples and counter-examples

Finite element approximations of poroelastic materials are nowadays used within multiple applications. Due to wide variation of possible material parameters, robustness of the considered discretization is important. Within this contribution robust of discretization schemes, initially developed for B...

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Bibliographic Details
Main Authors: Fleurianne Bertrand, Maximilian Brodbeck, Tim Ricken
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Examples and Counterexamples
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666657X22000209
Description
Summary:Finite element approximations of poroelastic materials are nowadays used within multiple applications. Due to wide variation of possible material parameters, robustness of the considered discretization is important. Within this contribution robust of discretization schemes, initially developed for Biot’s theory, will be applied within the Theory of Porous Media. Selected numerical test-cases, special attention will be paid to incompressible and impermeable regimes, are conducted.
ISSN:2666-657X