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Convergence of the the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Bouchut, François Lhébrard, Xavier |
| Abstract | We prove the convergence of the hydrostatic reconstruction scheme with kinetic numerical flux for the Saint Venant system with Lipschitz continuous topography. We use a recently derived fully discrete sharp entropy inequality with dissipation, that enables us to establish an estimate in the inverse of the square root of the space increment ∆x of the L 2 norm of the gradient of approximate solutions. By Diperna's method we conclude the strong convergence towards bounded weak entropy solutions. |
| File Format | |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | convergence well-balanced scheme hydrostatic reconstruction Saint Venant system with topography entropy inequality math Mathematics [math] Numerical Analysis [math.NA] Analysis of PDEs [math.AP] |
| Content Type | Text |
| Resource Type | Article |
