Author(s)

F.L.B. Ribeiro, A.C. Galeao & L. Landau

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. 1 Introduction As it is well known, the use of the classical Galerkin method to appr

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