Error analysis of a B-spline based finite-element method for modeling wind-driven ocean circulation

DOI10.1007/s10915-016-0201-1zbMath1398.76124OpenAlexW2328639470MaRDI QIDQ334353

Luca Heltai, Eliot Fried, Wen Jiang, Nella Rotundo, Tae-Yeon Kim

Publication date: 1 November 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0201-1

zbMATH Keywords

vorticitystream functionoptimal convergenceNitsche's methodquasigeostrophic equations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Hydrology, hydrography, oceanography (86A05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Computational methods for problems pertaining to geophysics (86-08)

Related Items (9)

Strong form-based meshfree collocation method for wind-driven ocean circulation ⋮ A Nitsche-type variational formulation for the shape deformation of a single component vesicle ⋮ A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes ⋮ NURBS-SEM: a hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces ⋮ Error estimates in weighted Sobolev norms for finite element immersed interface methods ⋮ A posteriori analysis of a B-spline based finite-element method for the stationary quasi-geostrophic equations of the ocean ⋮ Morley finite element methods for the stationary quasi-geostrophic equation ⋮ Adaptivity of a B-spline based finite-element method for modeling wind-driven ocean circulation ⋮ Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean

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