The Fixed-Stress Splitting Scheme for Biot’s Equations as a Modified Richardson Iteration: Implications for Optimal Convergence

DOI10.1007/978-3-030-55874-1_90zbMath1500.76053arXiv1911.11557OpenAlexW2991253461MaRDI QIDQ5152890

Erlend Storvik, Jakub Wiktor Both, Florin Adrian Radu, Jan Martin Nordbotten

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11557

zbMATH Keywords

impermeable porous mediummatrix linear problemoptimal stabilization parameterquasi-static linear Biot equations

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics

Cites Work

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• Robust fixed stress splitting for Biot's equations in heterogeneous media
• Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits
• Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits
• Convergence of iterative coupling for coupled flow and geomechanics
• Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
• On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics
• Block-partitioned solvers for coupled poromechanics: a unified framework
• Poromechanics of freezing materials

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