Error estimates for three-dimensional Stokes problem with non-standard boundary conditions

DOI10.1016/j.crma.2011.03.021zbMath1221.35290OpenAlexW2013808481MaRDI QIDQ544902

Toni Sayah, Hyam Abboud, Fida El Chami

Publication date: 16 June 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.03.021

zbMATH Keywords

finite elementsStokes problemoptimal a posteriori estimates

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with fluid mechanics (35Q35) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Variational principles of physics (49S05)

Related Items (5)

One problem of the Navier type for the Stokes system in planar domains ⋮ Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach ⋮ One Navier's problem for the Brinkman system ⋮ Several non-standard problems for the stationary Stokes system ⋮ Error studies of the coupling Darcy-Stokes system with velocity-pressure formulation

Cites Work

• Mixed finite elements in \(\mathbb{R}^3\)
• A priori and a posteriori estimates for three-dimensional Stokes equations with nonstandard boundary conditions
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