Numerical Comparison of Block Preconditioners for Poroelasticity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F24%3A00586673" target="_blank" >RIV/68145535:_____/24:00586673 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/book/10.1007/978-3-031-56208-2" target="_blank" >https://link.springer.com/book/10.1007/978-3-031-56208-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-56208-2_3" target="_blank" >10.1007/978-3-031-56208-2_3</a>

Result language
angličtina
Original language name
Numerical Comparison of Block Preconditioners for Poroelasticity
Original language description
Poroelastic models describe a coupled solid-fluid interaction between a solid skeleton saturated by some fluid. We consider Biot’s model that describes the deformation of the solid skeleton by linear elasticity and the fluid flow by Darcy’s law. The formulation includes displacements, fluid flux and fluid pressure. After time discretization by the implicit Euler method we obtain a linear system with a matrix of 3 × 3 block structure. The focus of the paper is how to solve the so-arising linear system by a preconditioned iterative Krylov subspace iteration method. We analyse a particular Schur complement-based preconditioner, constructed with respect to the pressure variable, and compare its performance with other block preconditioners that arise from various algebraic and functional settings. The numerical experiments are based on geotechnical context inspired by a particular tunnel sealing experiment and test the dependence of the performance of the considered preconditioners on mesh size and permeability.
Czech name
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Czech description
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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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