A new alternating-direction finite element method for hyperbolic equation

被引：12

作者：

Zhang, Zhiyue ^{[1
]}

Deng, Dingwen ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 23卷 / 06期

关键词：

alternating-direction implicit method; hyperbolic equation; patch approximation;

D O I：

10.1002/num.20240

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A modified backward difference time discretization is presented for Galerkin approximations for nonlinear hyperbolic equation in two space variables. This procedure uses a local approximation of the coefficients based on patches of finite elements with these procedures, a multidimensional problem can be solved as a series of one-dimensional problems. Optimal order H-0(1) and L-2 error estimates are derived. (c) 2007 Wiley Periodicals. Inc.

引用

页码：1530 / 1559

页数：30

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