Abstract
A parallel implementation of the fmite element method is presented in this paper, focusing on the fully coupled stabilized solutions of nonlinear systems arising from the discretization of shallow water equations. Edge-based data structures are used in order to optirnize matrix-vector products appearing in the GMRES iterative solver. Numerical examples, including the tidal flow simulation in the coastal lagoon of Araruama, Brazil, show the speed-up of the present implementation, designed for PC clusters running MPI.
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