most citedGalerkin finite element methods for the Shallow Water equations over variable bottom

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Galerkin finite element methods for the Shallow Water equations over variable bottom

G. Kounadis, V. A. Dougalis

We consider the one-dimensional shallow water equations (SW) in a finite channel with variable bottom topography. We pose several initial-boundary-value problems for the SW system,…

math.NA2018

On the standard Galerkin method with explicit RK4 time stepping for the Shallow Water equations

D. c. Antonopoulos, V. a. Dougalis, G. Kounadis

We consider a simple initial-boundary-value problem for the shallow water equations in one space dimension. We discretize the problem in space by the standard Galerkin finite eleme…