SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Error estimates for Galerkin-Finite element methods for the shallow water equations

V. Dougalis and D.C. Antonopoulos

Abstract
We analyze the standard Galerkin-finite element method for a simple initial-and boundary-value problem for the Shallow Water equations and their symmetric version in one space dimension. We prove error estimates for the semidiscrete problems for uniform and quasiuniform meshes, and also for their temporal discretization by the Shu-Osher third order RK method. We also discuss other types of boundary conditions and present results of relevant numerical experiments.

Organized by         Universidad de Valladolid     IMUVA