WIAS Preprint No. 2168, (2015)
Error estimates of B-spline based finite-element method for the wind-driven ocean circulation
- Rotundo, Nella
- Kim, Tae-Yeon
- Jiang, Wen
- Heltai, Luca
- Fried, Eliot
2010 Mathematics Subject Classification
- 65M15 65D07 74S05
- Error estimates, B-splines, geostrophic equations, ocean circulation, Nitsche's method
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.
- J. Sci. Comput., 69 (2016), pp. 430--459.