Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form
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Publication:5099865
DOI10.1137/21M1452974zbMath1497.65220arXiv2110.07486OpenAlexW3207162446WikidataQ113779000 ScholiaQ113779000MaRDI QIDQ5099865
Timo Koch, Kent-André Mardal, Miroslav Kuchta, W. M. Boon
Publication date: 26 August 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.07486
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) 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) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
- Unnamed Item
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- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- On classical iterative subdomain methods for the Stokes-Darcy problem
- A domain decomposition method to couple nonisothermal compositional gas liquid Darcy and free gas flows
- Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
- Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes
- A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
- Multilevel norms for \(H^{-1/2}\)
- Minimum residual methods for augmented systems
- Convergence of the MAC scheme for the Stokes/Darcy coupling problem
- Mathematical and numerical models for coupling surface and groundwater flows
- Uniform preconditioners of linear complexity for problems of negative order
- Multi-scale three-domain approach for coupling free flow and flow in porous media including droplet-related interface processes
- Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media
- The Biot-Darcy-Brinkman model of flow in deformable double porous media; homogenization and numerical modelling
- DuMu\(^{\text x} 3\) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling
- Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems
- A unified stabilized method for Stokes' and Darcy's equations
- Mortar multiscale finite element methods for Stokes-Darcy flows
- Constraint Preconditioning for the Coupled Stokes--Darcy System
- Natural Preconditioning and Iterative Methods for Saddle Point Systems
- Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains
- Preconditioning discretizations of systems of partial differential equations
- A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
- On the Boundary Condition at the Surface of a Porous Medium
- SLEPc
- Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
- Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
- A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
- Unified finite element discretizations of coupled Darcy-Stokes flow
- Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
- Coupling Fluid Flow with Porous Media Flow
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- A Note on Preconditioning for Indefinite Linear Systems
- Improved $L^2$ estimate for gradient schemes and super-convergence of the TPFA finite volume scheme
- Optimized Schwarz methods for the Stokes–Darcy coupling
- Multigrid Methods for Discrete Fractional Sobolev Spaces
- Locally Conservative Coupling of Stokes and Darcy Flows
- Stability of saddle point problems with penalty
- Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow
- Computational scales of Sobolev norms with application to preconditioning
- A parameter-robust iterative method for Stokes–Darcy problems retaining local mass conservation
- Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure
- Multilevel decompositions and norms for negative order Sobolev spaces
- Assembly of Multiscale Linear PDE Operators
- Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System
- Algorithm 832
- Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem
