LEAST-SQUARES GALERKIN PROCEDURE FOR SECOND-ORDER HYPERBOLIC EQUATIONS  

作　　者：Hui GUO Hongxing RUI Chao LIN 

机构地区：[1]School of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, China. [2]School of Mathematics and System Science, Shandong University, Jinan 250100, China. [3]Network and Education Technology Center, China University of Petroleum, Dongying 257061, China.

出　　处：《Journal of Systems Science & Complexity》2011年第2期381-393,共13页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the Mathematical Tianyuan Foundation of China under Grant No. 10726032, the National Natural Science Foundation of China under Grant No. 10471099, and the Fundamental Research Funds for the Central Universities.

摘　　要：This paper proposes the least-squares Galerkin finite dement scheme to solve secona-oraer hyperbolic equations. The convergence analysis shows that the method yields the approximate solutions with optimal accuracy in （L2 （Ω））2 × L2 （Ω） norms. Moreover, the method gets the approximate solutions with second-order accuracy in time increment. A numerical example testifies the efficiency of the novel scheme. Key words Convergence analysis, Galerkin finite element, hyperbolic equations, least-squares, nu- merical example.

关 键 词：Convergence analysis Galerkin finite element hyperbolic equations LEAST-SQUARES nu-merical example. 

分 类 号：O175.27[理学—数学] P207[理学—基础数学]