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- W2268365455 abstract "This paper is concerned with a first-order fully discrete decoupled method for solving the three-dimensional (3D) primitive equations of the ocean with the Dirichlet boundary conditions on the side, where a decoupled semi-implicit scheme is used for the time discretization, and the $P_1(P_1)-P_1-P_1(P_1)$ finite element for velocity, pressure, and density is used for the spatial discretization of these equations. The $H^1-L^2-H^1$ optimal error estimates for the numerical solution $(u_h^n,p_h^n,theta_h^n)$ and the $L^2$ optimal error estimate for $(u^n_h,theta_h^n)$ are established under the restriction of $0<hle beta_1$ and $0<taule beta_2$ for some positive constants $beta_1$ and $beta_2$. Moreover, numerical investigations are provided to show that the first-order decoupled method is of almost unconditional convergence with accuracy $mathcal{O}(h+tau)$ in the $H^1$-norm and $mathcal{O}(h^2+tau)$ in the $L^2$-norm for solving the 3D primitive equations of the ocean. Numerical results are gi..." @default.
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- W2268365455 date "2016-01-01" @default.
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- W2268365455 title "First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean" @default.
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- W2268365455 doi "https://doi.org/10.1137/15m1019611" @default.
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