BOUNDARY ELEMENT METHOD FOR BUCKLING EIGENVALUE PROBLEM AND ITS CONVERGENCE ANALYSIS
DING Rui1, DING Fang-yun2, ZHANG Ying3
1. Department of Mathematics, Soochou University, Suzhou 215006, P R China; 2. Department of Mathematics, Lanzhou University, Lanzhou 730000, P R China; 3. Department of Material Science, Xiamen University, Xiamen University, Xiamen 361005, P R China
DING Rui;DING Fang-yun;ZHANG Ying. BOUNDARY ELEMENT METHOD FOR BUCKLING EIGENVALUE PROBLEM AND ITS CONVERGENCE ANALYSIS. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 155-168.
[1] ZHU Jia-liang.Boundary Element Analysis for Elliptic Boundary Value Problem[M].Beijing:Science Press,1987.(in Chinese).
[2] Brezzi F.On the existence,uniqueness and approximation of saddle point problem arising from Lagrange multiplier[J].RAIRO,1974,4(2):129-151.
[3] WEN Xi-qong,LI Rong-hua.Error analysis of the BEM for solving the plane multiharmonic equation[J].J Computational Mathematics,1990,12(3):270-278.(in Chinese).
[4] DING Fang-yun,L Tao-tao.Boundary element analysis for two dimensional Helmholtz equation nonlinear boundary value problem[J].J Lanzhou University,1994,30(2):25-30.(in Chinese).
[5] DING Fang-yan.Boundary element method for three dimensional Helmholtz equation Dirichlet problem and its convergence analysis[J].J Lanzhou University,1995,31(3):30-38.(in Chinese).
[6] DING Rui,ZHU Zheng-you,CHENG Chang-jun.Boundary element method f or the dynamic response of viscoelastic plane(2)5 theoretical analysis[J].Applied Mathematics and Mechanics(English Eidition),1998,19(2):101-110.
[7] DING Rui,DING Fang-yun,ZHANG Ying.Boundary element analysis for buckling eigenvalue problem[A].In:Modern Mathematics and Mechanics(6)[C].Shanghai:Shanghai University Press,1997.(in Chinese).