Finite Element Approximation of Hydrostatic Stokes Equations: Review and Tests

DOI10.1007/978-3-319-32013-7_25zbMath1462.65186OpenAlexW2506061396MaRDI QIDQ4555572

J. Rafael Rodríguez-Galvàn, Francisco Guillén-González

Publication date: 20 November 2018

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32013-7_25

zbMATH Keywords

finite element approximationunstructured meshmixed finite elementerror orderdepth function

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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 (1)

On the finite element approximation for non-stationary saddle-point problems

Uses Software

• FreeFem++

Cites Work

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• Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes
• On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity
• Theory and practice of finite elements.
• Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics
• Stabilized Schemes for the Hydrostatic Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
• New development in freefem++

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