An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface
DOI10.1016/j.apnum.2021.02.006zbMath1465.76058OpenAlexW3127449402MaRDI QIDQ2029110
Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric T. Chung, Ming-Cheng Shiue
Publication date: 3 June 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.02.006
Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (6)
Cites Work
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- Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition
- Numerical approximation with Nitsche's coupling of transient Stokes/Darcy's flow problems applied to hemodynamics
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
- Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
- A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition
- Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- Elliptic partial differential equations of second order
- A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow
- A stabilized finite volume element method for a coupled Stokes-Darcy problem
- Stabilized finite element method for the stationary mixed Stokes-Darcy problem
- Mathematical and numerical models for coupling surface and groundwater flows
- Nitsche's type stabilized finite element method for the fully mixed Stokes-Darcy problem with Beavers-Joseph conditions
- Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations
- 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
- A unified stabilized method for Stokes' and Darcy's equations
- Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
- Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem
- Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
- Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
- Coupling Stokes–Darcy Flow with Transport
- A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
- Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
- Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
- DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
- Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
- 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
- Finite Element Methods for Navier-Stokes Equations
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Coupling Fluid Flow with Porous Media Flow
- Local Discontinuous Galerkin Methods for the Stokes System
- Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions
- Korn's inequalities for piecewise $H^1$ vector fields
- Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition
- Strong coupling of finite element methods for the Stokes-Darcy problem
- Coupling Darcy and Stokes equations for porous media with cracks
- A stabilized Crouzeix‐Raviart element method for coupling stokes and darcy‐forchheimer flows
- Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem
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