ERROR ESTIMATES FOR GALERKIN APPROXIMATIONS OF THE "CLASSICAL" BOUSSINESQ SYSTEM

被引：0

作者：

Antonopoulos, D. C. ^{[1
]}

Dougalis, V. A. ^{[1
,2
]}

机构：

[1] Univ Athens, Dept Math, Zografos 15784, Greece

[2] FORTH, Inst Appl & Computat Math, Iraklion 70013, Greece

来源：

MATHEMATICS OF COMPUTATION | 2013年 / 82卷 / 282期

关键词：

Boussinesq systems; nonlinear dispersive waves; first-order hyperbolics; Galerkin methods; error estimates; BOUNDARY-VALUE-PROBLEMS; NONLINEAR DISPERSIVE MEDIA; AMPLITUDE LONG WAVES; NUMERICAL-SOLUTION; 2-WAY PROPAGATION; EQUATIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the "classical" Boussinesq system in one space dimension and its symmetric analog. These systems model two-way propagation of nonlinear, dispersive long waves of small amplitude on the surface of an ideal fluid in a uniform horizontal channel. We discretize an initial-boundary-value problem for these systems in space using Galerkin-finite element methods and prove error estimates for the resulting semidiscrete problems and also for their fully discrete analogs effected by explicit Runge-Kutta time-stepping procedures. The theoretical orders of convergence obtained are consistent with the results of numerical experiments that are also presented.

引用

页码：689 / 717

页数：29

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