全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
工程力学  2012 

张量积形式的三维延拓Kantorovich法

, PP. 8-12

Keywords: 延拓Kantorovich法,张量积,函数逼近形式,迭代,三维Poisson,方程

Full-Text   Cite this paper   Add to My Lib

Abstract:

该文采用张量积的试函数逼近形式,即u(x,y,z)={X(x)}T[Z(z)]{Y(y)},成功地建立了三维延拓Kantorovich法的算法方程式,克服了简单试函数逼近形式的迭代不收敛的数值困难。三维Poisson方程的数值算例显示了该算法的迭代收敛性以及高精度和高效率。

References

[1]  Kantorovich L V, Krylov V L. Approximate Methods of Higher Analysis [M]. New York: Interscience, 1958.
[2]  Kerr D. An extension of the Kantorovich method [J]. Quarterly of Applied Mathematics, 1968, 26: 219-229.
[3]  Webber J P H. On the extension of the Kantorovich method [J]. The Aeronautical Journal, 1970, 74: 146- 149.
[4]  袁驷. 介绍一个常微分方程边值问题求解通用程序 —— COLSYS [J]. 计算结构力学及其应用, 1990, 7(2): 104-105. Yuan Si. To introduce a general programming for solving ordinary differential equation with boundary values — COLSYS [J]. Computational Structural Mechanics and Application, 1990, 7(2): 104-105. (in Chinese)
[5]  Yuan S, Zhang Y. Further extension of the extended Kantorovich method [J]. Computational Methods in Engineering Advances and Applications, ed. A A O Tay, K Y Lam, World Scientific, Singapore, 1992, 2: 1240- 1245.
[6]  金焱. 结构分析中双向解析法的研究[D]. 北京: 清华大学, 1997. Jin Yan. Study on bidirectional analytic method in structural analysis [D]. Beijing: Tsinghua University, 1997. (in Chinese)
[7]  Yuan S, Jin Y, Williams F W. Bending analysis of mindlin plates by the extended Kantorovich method [J]. Journal of Engineering Mechanics, ASCE, 1998, 12: 1339-1345.
[8]  金焱, 袁驷. 延拓Kantorovich 法解扁壳弯曲问题[J]. 土木工程学报, 1998, 31(4): 38-46. Jin Yan, Yuan Si. Solving the bending problem of shallow shell using the extended Kantorovich method [J]. Journal of Civil Engineering, 1998, 31(4): 38-46. (in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133