Error estimates of the partitioned time stepping method for the evolutionary Stokes-Darcy flows
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Publication:2013462
DOI10.1016/j.camwa.2016.12.024zbMath1369.76027OpenAlexW2574168807MaRDI QIDQ2013462
Publication date: 18 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.12.024
Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (7)
Local and parallel finite element methods based on two-grid discretizations for a non-stationary coupled Stokes-Darcy model ⋮ A second order multirate scheme for the evolutionary Stokes-Darcy model ⋮ Local and parallel finite element methods based on two-grid discretizations for a transient coupled Navier-Stokes/Darcy model ⋮ Error estimates of a second-order decoupled scheme for the evolutionary Stokes-Darcy system ⋮ Local and parallel finite element methods based on two-grid discretizations for the unsteady mixed Stokes-Darcy model with the Beavers-Joseph interface condition ⋮ Uncoupling evolutionary groundwater-surface water flows: stabilized mixed methods in both porous media and fluid regions ⋮ Stabilized finite element method for the stationary mixed Stokes-Darcy problem
Cites Work
- Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems
- Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
- Mathematical and numerical models for coupling surface and groundwater flows
- A Crank-Nicolson leapfrog stabilization: unconditional stability and two applications
- Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions
- Uncoupling evolutionary groundwater-surface water flows using the Crank-Nicolson Leapfrog method
- Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
- Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
- Decoupled schemes for a non-stationary mixed Stokes-Darcy model
- Coupling Fluid Flow with Porous Media Flow
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- 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
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