Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F24%3A00584471" target="_blank" >RIV/68145535:_____/24:00584471 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/full/10.1002/nla.2546" target="_blank" >https://onlinelibrary.wiley.com/doi/full/10.1002/nla.2546</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nla.2546" target="_blank" >10.1002/nla.2546</a>

Result language
angličtina
Original language name
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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