A two-grid finite difference method for the primitive equations of the ocean

DOI10.1016/j.na.2008.02.044zbMath1142.76368OpenAlexW2033203253MaRDI QIDQ943730

Roger M. Temam, Theodore Tachim-Medjo

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.044

zbMATH Keywords

stabilitymultilevel methodsprimitive equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Optimality conditions for minimax problems (49K35) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (17)

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 ⋮ 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 ⋮ Second-order optimality conditions for optimal control of the primitive equations of the ocean with periodic inputs ⋮ Long-time behavior of the two-grid finite element method for fully discrete semilinear evolution equations with positive memory ⋮ 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 ⋮ Maximum principle of optimal control of the primitive equations of the ocean with two point boundary state constraint ⋮ First order decoupled method of the primitive equations of the ocean: I: Time discretization ⋮ Optimal control of the primitive equations of the ocean with state constraints ⋮ Two-grid algorithms for some linear and nonlinear elliptic systems ⋮ Pontryagin's maximum principle for optimal control of the stationary primitive equations of the ocean ⋮ Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory ⋮ Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics ⋮ Maximum Principle of Optimal Control of the Primitive Equations of the Ocean With State Constraint

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