WIAS Preprint No. 2168, (2015)

Error estimates of B-spline based finite-element method for the wind-driven ocean circulation



Authors

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

2010 Mathematics Subject Classification

  • 65M15 65D07 74S05

Keywords

  • Error estimates, B-splines, geostrophic equations, ocean circulation, Nitsche's method

Abstract

We present the error analysis of a B-spline based finite-element approximation of the stream-function formulation of the large scale wind-driven ocean circulation. In particular, we derive optimal error estimates for h-refinement using a Nitsche-type variational formulations of the two simplied linear models of the stationary quasigeostrophic equations, namely the Stommel and Stommel--Munk models. Numerical results on rectangular and embedded geometries confirm the error analysis.

Appeared in

  • J. Sci. Comput., 69 (2016), pp. 430--459.

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