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Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.ORCID iD: 0000-0003-4080-2369
Univ Oslo, Dept Math, Oslo, Norway..
Simula Res Lab, N-0164 Oslo, Norway..
Univ Oslo, Dept Math, Oslo, Norway.;Simula Res Lab, N-0164 Oslo, Norway..
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2022 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 467, p. 111464-, article id 111464Article in journal (Refereed) Published
Abstract [en]

In this paper we advance the analysis of discretizations for a fluid-structure interaction model of the monolithic coupling between the free flow of a viscous Newtonian fluid and a deformable porous medium separated by an interface. A five-field mixed-primal finite element scheme is proposed solving for Stokes velocity-pressure and Biot displacement -total pressure-fluid pressure. Adequate inf-sup conditions are derived, and one of the distinctive features of the formulation is that its stability is established robustly in all material parameters. We propose robust preconditioners for this perturbed saddle-point problem using appropriately weighted operators in fractional Sobolev and metric spaces at the interface. The performance is corroborated by several test cases, including the application to interfacial flow in the brain.

Place, publisher, year, edition, pages
Elsevier BV , 2022. Vol. 467, p. 111464-, article id 111464
Keywords [en]
Transmission problem, Biot-Stokes coupling, Total pressure, Mixed finite elements, Operator preconditioning, Brain poromechanics
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-316938DOI: 10.1016/j.jcp.2022.111464ISI: 000843010900002Scopus ID: 2-s2.0-85134693939OAI: oai:DiVA.org:kth-316938DiVA, id: diva2:1692272
Note

QC 20220912

Available from: 2022-09-01 Created: 2022-09-01 Last updated: 2022-09-12Bibliographically approved

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Boon, Wietse M.

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