In this paper we introduce the equations of a layered quasi-geostrophic ocean model, and the corresponding data assimilation problem. We first give the variational formulation. We then point out the linear theory of duality. Finally, we apply duality to our nonlinear model by describing an algorithm to solve the data assimilation problem, introducing a dual cost function and a simple way to compute its gradient.
En este trabajo se consideran las ecuaciones de un modelo oceánico cuasigeostrófico y el problema asociado de asimilaciones de datos. En la primera parte se considera la formulación variacional. En la segunda parte, se aplica la dualidad a nuestro modelo no lineal y se describe un algoritmo para resolver el problema de asimilación de datos.
@article{urn:eudml:doc:41633,
title = {A dual data assimilation method for a layered quasi-geostrophic ocean model.},
journal = {RACSAM},
volume = {96},
year = {2002},
pages = {315-320},
mrnumber = {MR1985738},
zbl = {1046.86003},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41633}
}
Auroux, Didier; Blum, Jacques. A dual data assimilation method for a layered quasi-geostrophic ocean model.. RACSAM, Tome 96 (2002) pp. 315-320. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41633/