Mixed Finite Element Approximation of the Vector Potential.
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Rüdiger Verfürth (1986/1987)
Numerische Mathematik
Laure Saint-Raymond (2005)
Journées Équations aux dérivées partielles
We present here a series of works which aims at describing geophysical flows in the equatorial zone, taking into account the dominating influence of the earth rotation. We actually proceed by successive approximations computing for each model the response of the fluid to the strong Coriolis penalisation. The main difficulty is due to the spatial variations of the Coriolis acceleration : in particular, as it vanishes at the equator, fast oscillations are trapped in a thin strip of latitudes.
Shivamoggi, Bhimsen K., Debnath, Lokenath (1983)
International Journal of Mathematics and Mathematical Sciences
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