A priori and a posteriori estimates for three-dimensional Stokes equations with nonstandard boundary conditions

DOI10.1002/num.20676zbMath1343.76016OpenAlexW2008507803MaRDI QIDQ2910807

Toni Sayah, Fida El Chami, Hyam Abboud

Publication date: 11 September 2012

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20676

zbMATH Keywords

Stokes equationsa posteriori errorsa priori errorsnon standard boundary conditions

Mathematics Subject Classification ID

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 (10)

One problem of the Navier type for the Stokes system in planar domains ⋮ A posteriori error estimates for Darcy-Forchheimer's problem ⋮ Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach ⋮ One Navier's problem for the Brinkman system ⋮ On the three‐dimensional stationary exterior Stokes problem with non standard boundary conditions ⋮ A posteriori error estimators for the fully discrete time dependent Stokes problem with some different boundary conditions ⋮ A posteriori error analysis of the time dependent Navier-Stokes equations with mixed boundary conditions ⋮ Several non-standard problems for the stationary Stokes system ⋮ Error estimates for three-dimensional Stokes problem with non-standard boundary conditions ⋮ A discrete duality finite volume discretization of the vorticity‐velocity‐pressure stokes problem on almost arbitrary two‐dimensional grids

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• A posteriori error estimates for the generalized Stokes problem
• A variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three dimensional domains
• A posteriori error estimators for the Stokes equations
• Mixed finite elements in \(\mathbb{R}^3\)
• Vorticity-velocity-pressure and stream function-vorticity formulations for the Stokes problem.
• A posteriori error estimates for approximate solutions of variational problems with functionals of power growth
• A Posteriori Error Estimates for the Stokes Problem
• Incompressible Finite Element Methods for Navier-Stokes Equations with Nonstandard Boundary Conditions in R 3
• On variational formulations for the Stokes equations with nonstandard boundary conditions
• Vorticity-velocity-pressure formulation for the Stokes problem
• A posteriori estimates for the Stokes problem

This page was built for publication: A priori and a posteriori estimates for three-dimensional Stokes equations with nonstandard boundary conditions