\(H\)(div) conforming finite element methods for the coupled Stokes and Darcy problem
From MaRDI portal
Publication:550098
DOI10.1016/j.cam.2011.03.023zbMath1322.76040OpenAlexW1977427097MaRDI QIDQ550098
Feiteng Huang, Yumei Chen, Xiaoping Xie
Publication date: 8 July 2011
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.2011.03.023
Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) 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
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem, Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition, On the use of divergence balanced \(\mathbf{H}(\operatorname{div})\)-\(L^2\) pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes-Darcy and Brinkman problems, Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems, Convergence analysis of \(H(\operatorname{div})\)-conforming finite element methods for a nonlinear poroelasticity problem
Cites Work
- Unnamed Item
- Unnamed Item
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- Analysis of finite element methods for the Brinkman problem
- A unified stabilized method for Stokes' and Darcy's equations
- Coupling Stokes and Darcy equations
- New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
- 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
- Mixed and Hybrid Finite Element Methods
- Coupling Fluid Flow with Porous Media Flow
- Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- Locally Conservative Coupling of Stokes and Darcy Flows
- A Robust Finite Element Method for Darcy--Stokes Flow
- Korn's inequalities for piecewise $H^1$ vector fields
- Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem
- An observation on Korn’s inequality for nonconforming finite element methods
- Finite Difference Approximation for Pricing the American Lookback Option
