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Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material
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SYSNO ASEP 0584471 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material Author(s) Luber, Tomáš (UGN-S)
Sysala, Stanislav (UGN-S) RID, ORCIDNumber of authors 2 Article number e2546 Source Title Numerical Linear Algebra with Applications. - : Wiley - ISSN 1070-5325
Roč. 31, č. 3 (2024)Number of pages 18 s. Publication form Online - E Language eng - English Country US - United States Keywords mixed finite elements ; poroelasticity ; preconditioning ; Schur complement Subject RIV BA - General Mathematics OECD category Applied mathematics Method of publishing Open access Institutional support UGN-S - RVO:68145535 UT WOS 001130285900001 EID SCOPUS 85180895484 DOI https://doi.org/10.1002/nla.2546 Annotation This paper focuses on the analysis and the solution of the saddle-point problem arising from a three-field formulation of Biot's model of poroelasticity, discretized in time by the implicit Euler method. A block diagonal-preconditioner, based on the Schur complement, is analyzed on a functional level and compared with two other block-diagonal preconditioners having a similar structure. The problem is discretized in space using mixed finite elements and solved with appropriate iterative solvers, incorporating the investigated preconditioners. The solvers are tested on numerical examples inspired by geotechnical practice, with particular attention devoted to the solvers' robustness concerning strong heterogeneity in permeability. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2025 Electronic address https://onlinelibrary.wiley.com/doi/full/10.1002/nla.2546
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