First order decoupled method of the primitive equations of the ocean: I: Time discretization

DOI10.1016/J.JMAA.2013.11.013zbMath1308.65143OpenAlexW2039517295MaRDI QIDQ2019169

Yin-Nian He

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.013

zbMATH Keywords

stabilityoptimal error estimateprimitive equations of the oceandecoupled semi-implicit scheme

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with geophysics (35Q86)

Related Items (9)

First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean ⋮ Uniform stability and convergence of the iterative solutions of the 3D steady viscous primitive equations of the ocean under the small depth assumption ⋮ Stabilized Schemes for the Hydrostatic Stokes Equations ⋮ A stabilized difference finite element method for the 3D steady incompressible Navier-Stokes equations ⋮ Unnamed Item ⋮ On the solutions of the 3D steady and unsteady primitive equations of the ocean ⋮ Global attractor of the three-dimensional primitive equations of large-scale Ocean and atmosphere dynamics ⋮ On the long-time stability of a temporal discretization scheme for the three dimensional viscous primitive equations ⋮ Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics

Cites Work

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• A two-grid finite difference method for the primitive equations of the ocean
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Regularity results for Stokes type systems related to climatology
• Asymptotic analysis of the primitive equations under the small depth assumption
• Some mathematical aspects of geophysical fluid dynamic equations
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• The global attractor for the solutions to the 3D viscous primitive equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
• Finite Dimensional Behaviors of the Primitive Equations Under Small Depth Assumption
• On the regularity of the primitive equations of the ocean
• Regularity results for the stationary primitive equations of the atmosphere and the ocean

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