Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations
DOI10.1137/22m1518384zbMath1526.65051arXiv2208.12357OpenAlexW4387742017MaRDI QIDQ6066094
Publication date: 15 November 2023
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.12357
eigenvaluespreconditioningiterative solutionmarker-and-cellStokes-Darcy equationsdouble saddle-point systems
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08)
Cites Work
- The MAC method
- On classical iterative subdomain methods for the Stokes-Darcy problem
- Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
- Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow
- Convergence of the MAC scheme for the Stokes/Darcy coupling problem
- A simple projection method for the coupled Navier-Stokes and Darcy flows
- Recent advances in the Marker and Cell Method
- A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes
- Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form
- Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis
- A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals
- A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids
- On the solution of coupled Stokes/Darcy model with Beavers-Joseph interface condition
- Spectral analysis of the preconditioned system for the \(3 \times 3\) block saddle point problem
- Constraint Preconditioning for the Coupled Stokes--Darcy System
- Convergence of the MAC Scheme for the Compressible Stokes Equations
- A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Mortar finite element discretization of a model coupling Darcy and Stokes equations
- Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
- A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
- Unified finite element discretizations of coupled Darcy-Stokes flow
- Analysis and Convergence of the MAC Scheme. I. The Linear Problem
- A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
- Coupling Fluid Flow with Porous Media Flow
- Iterative Methods for Double Saddle Point Systems
- Locally Conservative Coupling of Stokes and Darcy Flows
- Weak Galerkin method for the coupled Darcy–Stokes flow
- A Robust Finite Element Method for Darcy--Stokes Flow
- Finite-element error estimates for the MAC scheme
- Robust Preconditioners for Multiple Saddle Point Problems and Applications to Optimal Control Problems
- Stability and convergence of the mark and cell finite difference scheme for Darcy‐Stokes‐Brinkman equations on non‐uniform grids
- Strong coupling of finite element methods for the Stokes-Darcy problem
- Pseudospectral Least Squares Method for Stokes--Darcy Equations
- Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System
- Schur complement preconditioners for multiple saddle point problems of block tridiagonal form with application to optimization problems
- Finite Difference Approximation for Pricing the American Lookback Option
- An energy-preserving MAC-Yee scheme for the incompressible MHD equation
- Eigenvalue bounds for saddle-point systems with singular leading blocks
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