A streamline diffusion finite element method for the viscous shallow water equations

作者：Dawson Clint^*; Videman Juha H

来源：Journal of Computational and Applied Mathematics, 2013, 251: 1-7.

DOI：10.1016/j.cam.2013.03.015

• Shallow-water equations
• Finite element method
• Streamline diffusion method
• A priori estimates

We formulate and prove a priori error bounds for the streamline diffusion finite element method or Streamline Upwind Petrov-Galerkin (SUPG) method applied to the shallow water equations. We derive an error estimate for linear approximations in both velocity and water elevation and comment on higher-order approximations.

• 出版日期2013-10-15