Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations

DOI10.1016/j.cam.2017.04.002zbMath1432.65145OpenAlexW2606223826MaRDI QIDQ2360708

Nabil Chaabane, Charles Puelz, Vivette Girault, Béatrice Rivière

Publication date: 4 July 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.04.002

zbMATH Keywords

error analysismultiphysicsBeavers-Joseph-Saffman

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

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• Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow
• On the solution of the coupled Navier-Stokes and Darcy equations
• Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
• Numerical analysis of the Navier-Stokes/Darcy coupling
• Mathematical and numerical models for coupling surface and groundwater flows
• Time-dependent coupling of Navier–Stokes and Darcy flows
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
• Analysis of time-dependent Navier–Stokes flow coupled with Darcy flow
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
• Korn's inequalities for piecewise $H^1$ vector fields
• A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
• A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations

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