Author(s)

M. Marrocui & D. Ambrosi

Abstract

The use of unstructured grids for the numerical approximation of partial differential equations of applied mathematics has the great appeal of en- abling mesh adaption based on suitable error indicators of the accuracy of the solution, refining the mesh where the numerical error is large and coarsening it where the error is small. In this way it is then possible to optimize the quality of the solution for a given computational effort. We deal here with mesh adaption applied to shallow water How. The shallow water equations are numerically approximated by a standard Galerkin finite element method, using linear elements for the elevation field and quadratic elements for the unit-width discharge field. The advancing-in-time scheme is of fractional step type. The standard mesh re

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