Galerkin alternating-direction method for a kind of three-dimensional nonlinear hyperbolic problems

被引：10
作者：
Lai, Xiang [1 ]
Yuan, Yirang [1 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 03期
关键词：
Hyperbolic equation; First-order system of equations; Galerkin alternating-direction finite element; Convergence analysis; Numerical example;
D O I：
10.1016/j.camwa.2008.07.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A kind of three-dimensional nonlinear hyperbolic equation is firstly transformed into a first-order system of equations, then the Galerkin alternating-direction procedure for the system is derived. The error estimates of the procedure in H-1 norm and L-2 norm, respectively, are obtained by using the theory and techniques of priori estimate of differential equations. The numerical experiment is also given to support the theoretical analysis. Comparing the results of numerical example with the theoretical analysis, they are coincided. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：384 / 403
页数：20
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