First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean

DOI10.1137/15M1019611zbMath1334.76079MaRDI QIDQ3464431

Yan Zhang, Hui Xu, Zhang-Xin Chen, Yin-Nian He

Publication date: 27 January 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

optimal error estimateprimitive equations of ocean\(P_1(P_1)-P_1-P_1(P_1)\) finite elementsecond-order decoupled implicit/explicit method

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)

Related Items

Uniform stability and convergence of the iterative solutions of the 3D steady viscous primitive equations of the ocean under the small depth assumption, Stability and convergence analysis of a Crank-Nicolson leap-frog scheme for the unsteady incompressible Navier-Stokes equations, A stabilized difference finite element method for the 3D steady incompressible Navier-Stokes equations, 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, 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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