 |
HAL UPEC - UPEM Portal |  |
 |
Journal articles
Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography
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.
Cited literature [29 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-01515256
Contributor : François Bouchut Connect in order to contact the contributor
Submitted on : Friday, September 4, 2020 - 11:32:09 AM
Last modification on : Monday, March 22, 2021 - 2:41:08 PM
Contributor : François Bouchut Connect in order to contact the contributor
Submitted on : Friday, September 4, 2020 - 11:32:09 AM
Last modification on : Monday, March 22, 2021 - 2:41:08 PM
File
kin-hydrost_conv.pdf
Files produced by the author(s)