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.
Bertrand, Brodbeck et al 2022 - On robust discretization methods:Attachments/Bertrand, Brodbeck et al 2022 - On robust discretization methods.pdf:application/pdf
%0 Journal Article
%1 Bertrand.2022
%A Bertrand, Fleurianne
%A Brodbeck, Maximilian
%A Ricken, Tim
%D 2022
%J Examples and Counterexamples
%K dfgHMOR exc2075 for5151 isd myown myownsend:unibiblio pn2 sfb1313 spp1158 spp1886 spp2311 theory_of_porous_media
%P 100087
%R 10.1016/j.exco.2022.100087
%T On robust discretization methods for poroelastic problems: Numerical examples and counter-examples
%U https://www.sciencedirect.com/science/article/pii/S2666657X22000209
%V 2
%X 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.
@article{Bertrand.2022,
abstract = {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.},
added-at = {2022-11-28T16:30:25.000+0100},
author = {Bertrand, Fleurianne and Brodbeck, Maximilian and Ricken, Tim},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2517e881ebc7038da8aa5d1a140340091/timricken},
doi = {10.1016/j.exco.2022.100087},
file = {Bertrand, Brodbeck et al 2022 - On robust discretization methods:Attachments/Bertrand, Brodbeck et al 2022 - On robust discretization methods.pdf:application/pdf},
interhash = {975bd483b966118833f2d39f99338688},
intrahash = {517e881ebc7038da8aa5d1a140340091},
issn = {2666-657X},
journal = {Examples and Counterexamples},
keywords = {dfgHMOR exc2075 for5151 isd myown myownsend:unibiblio pn2 sfb1313 spp1158 spp1886 spp2311 theory_of_porous_media},
pages = 100087,
timestamp = {2022-11-28T15:34:29.000+0100},
title = {On robust discretization methods for poroelastic problems: Numerical examples and counter-examples},
url = {https://www.sciencedirect.com/science/article/pii/S2666657X22000209},
volume = 2,
year = 2022
}
