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

被引：6

作者：

Dawson, Clint ^{[1
]}

Videman, Juha H. ^{[2
]}

机构：

[1] Univ Texas Austin, Ctr Subsurface Modeling, Austin, TX 78712 USA

[2] Univ Tecn Lisboa, Inst Super Tecn, Dept Math, CAMGSD, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 251卷

关键词：

Shallow-water equations; Finite element method; Streamline diffusion method; A priori estimates; NAVIER-STOKES EQUATIONS; COMPUTATIONAL FLUID-DYNAMICS; SUPG FORMULATION; CONVERGENCE; SYSTEMS;

D O I：

10.1016/j.cam.2013.03.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1 / 7

页数：7

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