Resumen de Space-time finite element formulation for shallow water equations with shock-capturing operator

Rigoberto G Sanabria Castro

• This paper presents a space-time formulation for problems governed by the shallow water equations. A linear time discontinuous approximation is adopted and the streamline upwind Petrov-Galerkin (SUPG) methodis applied in its equivalent form to fit the time discretization. Also, a shock-capturíng operator is used in order to solve all details of sharp layers and/or shock discontinuities. The semi-discrete version is also established and numerical examples compare the performance of these methods.