Schur preconditioning of the Stokes equations in channel-dominated domains

DOI10.1016/j.cma.2022.115264OpenAlexW4285586459MaRDI QIDQ2160459

Andreas Meier, Eberhard Bänsch, Florian Frank

Publication date: 3 August 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.115264

zbMATH Keywords

preconditioningporous mediaStokesdigital rocksaddle-point systemthin channels

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Preconditioners for iterative methods (65F08)

Uses Software

• hypre
• METIS
• drp-benchmarks

Cites Work

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• Refined saddle-point preconditioners for discretized Stokes problems
• On the best constant in the inf-sup condition for enlongated rectangular domains
• MFEM: a modular finite element methods library
• An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media
• Homogenization and porous media
• On the LBB condition in the numerical analysis of the Stokes equations
• Finite Elements and Fast Iterative Solvers
• A Simple and Efficient Segregated Smoother for the Discrete Stokes Equations
• Analysis of Block Preconditioners for Models of Coupled Magma/Mantle Dynamics
• An Iterative Method for the Stokes-Type Problem with Variable Viscosity
• Numerical solution of saddle point problems
• A combined conjugate gradient - multi-grid algorithm for the numerical solution of the Stokes problem
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Analysis of the Brinkman equation as a model for flow in porous media
• Homogenization and Two-Scale Convergence
• Solution of Sparse Indefinite Systems of Linear Equations
• A Note on Preconditioning for Indefinite Linear Systems
• On the domain geometry dependence of the LBB condition
• Saddle-Point Problems and Their Iterative Solution
• Homogenization of the Stokes equation with mixed boundary condition in a porous medium
• Preconditioning
• Weighted BFBT Preconditioner for Stokes Flow Problems with Highly Heterogeneous Viscosity
• Bounds on the extremal eigenvalues of the finite element stiffness and mass matrices and their spectral condition number
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles