Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes

DOI10.1007/s00211-014-0663-8zbMath1330.35324OpenAlexW2058577755MaRDI QIDQ888518

Francisco Guillén-González, J. Rafael Rodríguez-Galvàn

Publication date: 30 October 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/53691

zbMATH Keywords

finite elementunstructured meshStokes problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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)

Related Items (8)

Finite Element Approximation of Hydrostatic Stokes Equations: Review and Tests ⋮ Stabilized Schemes for the Hydrostatic Stokes Equations ⋮ On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity ⋮ Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems ⋮ Stable Discontinuous Galerkin Approximations for the Hydrostatic Stokes Equations ⋮ Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem ⋮ On the finite element approximation for non-stationary saddle-point problems ⋮ A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces

Uses Software

• FreeFem++

Cites Work

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