In this paper, the preconditioning technique of an elliptic Laplace problem in a global circulation ocean model is analyzed. We suggest an inverse preconditioning technique in order to efficiently compute the numerical solution of the elliptic kernel. Moreover, we show how the convergence rate and the performance of the solver are strictly linked to the discretized grid resolution and to the Laplace coefficients of the oceanic model. Finally, we present an easy-toimplement version of the solver on the Graphics Processing Units (GPUs). Mathematics Subject Classification: 65Y05; 65Y10; 65F08; 65F35; 37N10
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Farina et al. (2013) studied this question.