Abstract
This paper presents a space-time finite element formulation for problems governed by the shallow water equations. A constant time-discontinuous approximation is adopted, while linear three node triangles are used for the spatial discretization. The streamline upwind Petrov-Galerkin (SUPG) method is applied in its equivalent variational form to fit the time discretization. Also, the correspondent semi-discrete SUPG version is established, and some numerical results are presented in order to compare the performance of these methods.
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