TY - JOUR
T1 - On robust discretization methods for poroelastic problems
T2 - Numerical examples and counter-examples
AU - Bertrand, Fleurianne
AU - Brodbeck, Maximilian
AU - Ricken, Tim
N1 - Publisher Copyright:
© 2022 The Author(s)
PY - 2022/11
Y1 - 2022/11
N2 - 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.
AB - 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.
KW - Incompressible material
KW - Low permeability
KW - Mixed finite elements
KW - Parameter robustness
KW - Theory of Porous Media
UR - http://www.scopus.com/inward/record.url?scp=85148316595&partnerID=8YFLogxK
U2 - 10.1016/j.exco.2022.100087
DO - 10.1016/j.exco.2022.100087
M3 - Article
AN - SCOPUS:85148316595
SN - 2666-657X
VL - 2
JO - Examples and Counterexamples
JF - Examples and Counterexamples
M1 - 100087
ER -