APPROXIMATIONS OF THE KDV EQUATION BY LEAST-SQUARES FINITE-ELEMENTS

被引：25
作者：
CAREY, GF
SHEN, Y
机构：
[1] Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1991年 / 93卷 / 01期
关键词：
D O I：
10.1016/0045-7825(91)90112-J
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The problem of approximating solutions to the Korteweg-de Vries (KdV) equation is investigated using a least squares finite element method. The third order KdV equation is recast as a first-order system and a least-squares finite element approach is introduced for the semidiscrete time-differenced form of the resulting equations. Of particular interest are the approximation properties for solitary wave solutions (solitons). We examine the amplitude and phase error for a representative test problem as well as other examples including the passage of one soliton through another.
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页码：1 / 11
页数：11
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