Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations

DOI10.1016/j.apnum.2016.09.011zbMath1387.86005arXiv1411.5400OpenAlexW2963938552MaRDI QIDQ338540

Francisco Guillén-González, M. Victoria Redondo-Neble

Publication date: 7 November 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5400

zbMATH Keywords

stabilityconvergenceerror estimatesprimitive equationsfinite-elementsanisotropic estimatestime-splitting schemes

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Computational methods for problems pertaining to geophysics (86-08)

Related Items (8)

On the Rayleigh-Bénard-Marangoni problem: theoretical and numerical analysis ⋮ Stable Discontinuous Galerkin Approximations for the Hydrostatic Stokes Equations ⋮ Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem ⋮ A 2D model for heat transport in a Hele-Shaw geometry ⋮ A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations ⋮ Global attractor of the three-dimensional primitive equations of large-scale Ocean and atmosphere dynamics ⋮ On the finite element approximation for non-stationary saddle-point problems ⋮ Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics

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