Numerical Analysis of a Priori Error Estimates for the Characteristics Mixed Finite Element Approximation of Shallow Water Equations

F. El Dabaghi, A. El Kacimi, and B. Nakhle (France)


Shallow water equations, characteristics method, mixed finite elements, a priori error estimates


In this paper, we investigate from a numerical point view a priori error estimates for a characteristics mixed finite ele ment approximation of shallow water equations. Many nu merical results validating the error estimates are performed on a sample example with a rectangular domain. In ad dition, realist test describing a free flow in a trapezoidal channel domain is presented.

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