Abstract
A characteristic-Galerkin approximation of a new two-dimensional Shallow Water viscous parabolic model is presented and a semi-implicit-Lagrangian finite element scheme is used. A convergence result is proved and numerical experiments on academic tests are shown.
Acknowledgments
The author is grateful to his PhD Advisor, Prof. Fausto Saleri (MOX, Politecnico di Milano, Dipartimento di Matematica), Prof. Giovanni Russo (Università Statale degli Studi di Catania, Dipartimento di Matematica e Informatica), Prof. Beno