Analysis of finite element methods for the Brinkman problem
DOI10.1007/s10092-009-0017-6zbMath1410.76179OpenAlexW1966405458MaRDI QIDQ1959085
Publication date: 6 October 2010
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-009-0017-6
mixed finite element methodsStokes equationDarcy equationNitsche's methodBrinkman equationstabilized methods
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) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Homogenization of a Darcy-Stokes system modeling vuggy porous media
- Weakly imposed Dirichlet boundary conditions for the Brinkman model of porous media flow
- A residual based a posteriori estimator for the reaction-diffusion problem
- A stable finite element for the Stokes equations
- Boundary subspaces for the finite element method with Lagrange multipliers
- On some techniques for approximating boundary conditions in the finite element method
- Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
- Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
- Computations with finite element methods for the Brinkman problem
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Error estimates for a mixed finite element approximation of the Stokes equations
- Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- A Robust Finite Element Method for Darcy--Stokes Flow
- ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS