A second-order fractional time-stepping method for a coupled Stokes/Darcy system
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Publication:2226304
DOI10.1016/j.cam.2020.113329zbMath1459.35099OpenAlexW3115862511MaRDI QIDQ2226304
Jian Li, Xin Zhao, Rui Li, Zhang-Xin Chen
Publication date: 12 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113329
stabilitynumerical experimentsfractional time-stepping methodStokes/Darcy systemsecond-order temporal method
Boundary value problems for second-order elliptic equations (35J25) Navier-Stokes equations for incompressible viscous fluids (76D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
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- Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems
- A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations
- Perturbation solution of the coupled Stokes-Darcy problem
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow
- Coupling nonlinear Stokes and Darcy flow using mortar finite elements
- A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
- A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
- A parallel domain decomposition method for coupling of surface and groundwater flows
- Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
- Numerical analysis of the Navier-Stokes/Darcy coupling
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- Boundary integral solutions of coupled Stokes and Darcy flows
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- A new stabilized finite volume method for the stationary Stokes equations
- Stokes-Darcy boundary integral solutions using preconditioners
- Mathematical and numerical models for coupling surface and groundwater flows
- An overview of projection methods for incompressible flows
- A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
- Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
- Optimal \(L^2\), \(H^1\) and \(L^{\infty}\) analysis of finite volume methods for the stationary Navier-Stokes equations with large data
- Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
- Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
- Decoupled Time Stepping Methods for Fluid-Fluid Interaction
- Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem
- A posteriori error estimate for the Stokes-Darcy system
- Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
- Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
- A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem
- First-Order System Least Squares for Coupled Stokes–Darcy Flow
- Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
- A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
- A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
- 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
- DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
- Decoupled schemes for a non-stationary mixed Stokes-Darcy model
- Analysis of time-dependent Navier–Stokes flow coupled with Darcy flow
- Unified finite element discretizations of coupled Darcy-Stokes flow
- Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
- Locally Conservative Coupling of Stokes and Darcy Flows
- A decoupling method with different subdomain time steps for the nonstationary stokes–darcy model
- Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows
- A linear, decoupled fractional time‐stepping method for the nonlinear fluid–fluid interaction
- Computational Methods for Multiphase Flows in Porous Media
- Numerical Solution of the Navier-Stokes Equations
- Finite Element Methods and Their Applications
