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

Fleurianne Bertrand; Maximilian Brodbeck; Tim Ricken

doi:10.1016/j.exco.2022.100087

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

Fleurianne Bertrand
, Maximilian Brodbeck^*
, Tim Ricken

^*Corresponding author for this work

Mathematics of Computational Science

Research output: Contribution to journal › Article › Academic › peer-review

8 Citations (Scopus)

140 Downloads (Pure)

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.

Original language	English
Article number	100087
Journal	Examples and Counterexamples
Volume	2
DOIs	https://doi.org/10.1016/j.exco.2022.100087
Publication status	Published - Nov 2022

Keywords

Incompressible material
Low permeability
Mixed finite elements
Parameter robustness
Theory of Porous Media

Access to Document

10.1016/j.exco.2022.100087Licence: CC BY-NC-ND

1-s2.0-S2666657X22000209-mainFinal published version, 507 KBLicence: CC BY-NC-ND

Cite this

@article{b21b3e848cab4aae9b6927675d3a31a9,

title = "On robust discretization methods for poroelastic problems: Numerical examples and counter-examples",

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.",

keywords = "Incompressible material, Low permeability, Mixed finite elements, Parameter robustness, Theory of Porous Media",

author = "Fleurianne Bertrand and Maximilian Brodbeck and Tim Ricken",

note = "Publisher Copyright: {\textcopyright} 2022 The Author(s)",

year = "2022",

month = nov,

doi = "10.1016/j.exco.2022.100087",

language = "English",

volume = "2",

journal = "Examples and Counterexamples",

issn = "2666-657X",

publisher = "Elsevier",

}

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

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 - https://www.scopus.com/pages/publications/85148316595

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 -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this