Two-time level ADI finite volume method for a class of second-order hyperbolic problems

被引：4
|
作者：
Yang, Min [1 ]
机构：
[1] Yantai Univ, Dept Math, Yantai 264005, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 09期
关键词：
Alternating direction; Biquadratic basis; Error estimation; Finite volume method; Hyperbolic problem; Two-time level; ELLIPTIC PROBLEMS; GALERKIN METHOD; ELEMENT METHODS; EQUATIONS;
D O I：
10.1016/j.amc.2009.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a two-time level alternating direction implicit (ADI) method for a class of second-order hyperbolic problems on a rectangular domain. The method builds on the finite volume method with biquadratic basis functions for the discretization in space, and a Crank-Nicolson approach for the time stepping. We obtain a second-order error estimation in the H(1) norm. Numerical experiments are performed to demonstrate the theoretical findings. (C) 2009 Elsevier Inc. All rights reserved.
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页码：3239 / 3248
页数：10
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