Some DG schemes for the Stokes-Darcy problem using P1/P1 element

DOI10.1007/s13160-019-00377-zzbMath1425.76154OpenAlexW2966496118MaRDI QIDQ2009492

Guanyu Zhou, Eric T. Chung, Takahito Kashiwabara, Issei Oikawa, Ming-Cheng Shiue

Publication date: 28 November 2019

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-019-00377-z

zbMATH Keywords

finite element methoddiscontinuous Galerkin methodpenalty methodStokes-Darcy problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

The well-posedness and discontinuous Galerkin approximation for the non-Newtonian Stokes-Darcy-Forchheimer coupling system

Uses Software

• FEniCS

Cites Work

• Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
• Automated solution of differential equations by the finite element method. The FEniCS book
• Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
• Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
• A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow
• Mathematical and numerical models for coupling surface and groundwater flows
• Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations
• Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
• Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
• Coupling Stokes–Darcy Flow with Transport
• Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
• DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
• Coupling Fluid Flow with Porous Media Flow
• Local Discontinuous Galerkin Methods for the Stokes System
• Korn's inequalities for piecewise $H^1$ vector fields
• Analysis of the HDG method for the stokes–darcy coupling
• Coupling Darcy and Stokes equations for porous media with cracks
• The Mathematical Theory of Finite Element Methods

This page was built for publication: Some DG schemes for the Stokes-Darcy problem using P1/P1 element