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Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes. (English) Zbl 1330.35324
The authors perform a numerical analysis of the hydrostatic Stokes problem appearing in the primitive equations of the ocean. They first prove well-posedness of the continuous problem and then focus of the finite element approximation of the problem in unstructured meshes.

MSC:
35Q35 PDEs in connection with fluid mechanics
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76D07 Stokes and related (Oseen, etc.) flows
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