A class of new linear, efficient and high-order implicit-explicit methods for the unsteady Navier-Stokes-Darcy model based on nonlinear Lions interface condition

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for nonlinear higher-order PDEs (35G25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical analysis (65-XX)

Cites Work

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A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition
Numerical analysis of the Navier-Stokes/Darcy coupling
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
A stabilized finite volume element method for a coupled Stokes-Darcy problem
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The scalar auxiliary variable (SAV) approach for gradient flows
On a new pseudocompressibility method for the incompressible Navier-Stokes equations
Decoupling the stationary Navier-Stokes-Darcy system with the Beavers-Joseph-Saffman interface condition
Fast and accurate artificial compressibility ensemble algorithms for computing parameterized Stokes-Darcy flow ensembles
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Poiseuille flow in a fluid overlying a porous medium
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On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
Coupling Fluid Flow with Porous Media Flow
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Convection in a Coupled Free Flow-Porous Media System
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
Predicting convection configurations in coupled fluid–porous systems
Analysis of divergence-free 𝐻¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number
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Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations

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