Nitsche's type stabilized finite element method for the fully mixed Stokes-Darcy problem with Beavers-Joseph conditions

DOI10.1016/j.aml.2020.106588zbMath1450.65152OpenAlexW3035097153MaRDI QIDQ2006297

Yizhong Sun, Haibiao Zheng, Feng Shi, Jia-ping Yu

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106588

zbMATH Keywords

Nitsche's methodstabilized methodStokes-Darcy problemBeavers-Joseph conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

A stabilized finite element method for the Stokes-Stokes coupling interface problem ⋮ Local and parallel finite element methods based on two-grid discretizations for the unsteady mixed Stokes-Darcy model with the Beavers-Joseph interface condition ⋮ Analysis of a diffuse interface method for the Stokes-Darcy coupled problem ⋮ A modified local and parallel finite element method for the coupled 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 ⋮ Two-grid domain decomposition methods for the coupled Stokes-Darcy system ⋮ A novel local and parallel finite element method for the mixed Navier-Stokes-Darcy problem ⋮ Domain decomposition method for the fully-mixed Stokes-Darcy coupled problem ⋮ An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface ⋮ Local and parallel finite element methods for the coupled Stokes/Darcy model ⋮ A new local and parallel finite element method for the coupled Stokes-Darcy model

Cites Work

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• A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem
• Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
• 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
• 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
• Mixed and Hybrid Finite Element Methods
• Coupling Fluid Flow with Porous Media Flow
• A Second-Order in Time Approximation of Fluid-Structure Interaction Problem

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