A rectangular mixed element method with continuous flux approximation for coupling Stokes and Darcy flows
From MaRDI portal
Publication:295155
DOI10.1016/j.amc.2014.06.102zbMath1338.76056OpenAlexW1985986230MaRDI QIDQ295155
Publication date: 17 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.102
Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition, A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids, Numerical computation of Brinkman flow with stable mixed element method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite element approximation of the Navier-Stokes equations
- A mass-conservative characteristic finite element scheme for convection-diffusion problems
- A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
- Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
- Homogenization of a Darcy-Stokes system modeling vuggy porous media
- Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications
- On the stability of bilinear-constant velocity-pressure finite elements
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- Mixed finite elements for second order elliptic problems in three variables
- A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
- Efficient rectangular mixed finite elements in two and three space variables
- On the Boundary Condition at the Surface of a Porous Medium
- Old and new finite elements for incompressible flows
- Mixed and Hybrid Finite Element Methods
- A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
- Coupling Fluid Flow with Porous Media Flow
- A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems
- Locally Conservative Coupling of Stokes and Darcy Flows
- Korn's inequalities for piecewise $H^1$ vector fields