Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem

DOI10.1016/j.crma.2005.09.038zbMath1082.65116OpenAlexW2061148553MaRDI QIDQ2575111

Gabriel R. Barrenechea, Frédéric Valentin

Publication date: 5 December 2005

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

Full work available at URL: http://hdl.handle.net/10533/176341

zbMATH Keywords

error estimatesfinite element methodstabilizationnumerical examplesgeneralized Stokes problemmultiscale functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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) Navier-Stokes equations (35Q30)

Related Items

Pressure stabilization of finite element approximations of time-dependent incompressible flow problems, Stabilized multiscale nonconforming finite element method for the stationary Navier-Stokes equations, Local projection stabilized Galerkin approximations for the generalized Stokes problem, A two-level enriched finite element method for a mixed problem, Stabilization arising from PGEM: A review and further developments, A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation, New stabilized finite element method for time-dependent incompressible flow problems

Cites Work

• An unusual stabilized finite element method for a generalized Stokes problem
• Theory and practice of finite elements.
• Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
• Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions