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A characteristic-Galerkin approximation to a system of shallow water equations (2000)

Dawson, Clint N. ; Martínez-Canales, Mónica L.

Springer

Numerische Mathematik 86 (2000), S. 239-256

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ISSN: 0945-3245

Keywords: Mathematics Subject Classification (1991): 65N30

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary. Characteristic methods are known to handle advective flow better than traditional Galerkin methods and allow large time steps to be taken when compared to standard time-stepping methods. In this paper, we investigate a characteristic-Galerkin approximation to the 2-dimensional system of shallow water equations. We derive ${\cal L}^{\infty}\left ((0,T);{\cal L}^2(\Omega)\right )$ bounds for elevation and velocity, showing these to be optimal for velocity in ${\cal L}^2\left ((0,T);{\cal H}^1(\Omega)\right )$ .

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/PL00005405

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