Stabilized Schemes for the Hydrostatic Stokes Equations
DOI10.1137/140998640zbMath1328.35168OpenAlexW1866820573MaRDI QIDQ2945407
Francisco Guillén-González, J. Rafael Rodríguez-Galvàn
Publication date: 10 September 2015
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/93b516a35e2802e79788f079884ea49330058f10
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
- Finite element approximation of the Navier-Stokes equations
- Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes
- On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity
- Anisotropic estimates and strong solutions of the primitive equations.
- Some mathematical aspects of geophysical fluid dynamic equations
- Theory and practice of finite elements.
- First order decoupled method of the primitive equations of the ocean: I: Time discretization
- A numerical solver for the primitive equations of the ocean using term-by-term stabilization
- Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
- Bubble finite elements for the primitive equations of the ocean
- Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics
- New formulations of the primitive equations of atmosphere and applications
- Mixed and Hybrid Finite Element Methods
- On the equations of the large-scale ocean
- Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
- An intrinsic analysis of existence of solutions for the hydrostatic approximation of Navier–Stokes equations
- REGULARIZATION BY MONOTONE PERTURBATIONS OF THE HYDROSTATIC APPROXIMATION OF NAVIER–STOKES EQUATIONS
- Regularity results for stokes type systems
- New development in freefem++
- Equal-order Finite Elements for the Hydrostatic Stokes Problem
- The Mathematical Theory of Finite Element Methods
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