Ding Rui, Zhu Zhengyou, Cheng Changjun. Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis[J]. Applied Mathematics and Mechanics, 1998, 19(2): 95-103.
Citation:
Ding Rui, Zhu Zhengyou, Cheng Changjun. Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis[J]. Applied Mathematics and Mechanics, 1998, 19(2): 95-103.
Ding Rui, Zhu Zhengyou, Cheng Changjun. Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis[J]. Applied Mathematics and Mechanics, 1998, 19(2): 95-103.
Citation:
Ding Rui, Zhu Zhengyou, Cheng Changjun. Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis[J]. Applied Mathematics and Mechanics, 1998, 19(2): 95-103.
Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis
1.
Mechanical Postdoctoral Station, Southwestern Jiaotong University, Chengdu 610031, P. R. China;
2.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China
Received Date: 1996-03-08Rev Recd Date:
1997-06-12
Publish Date:
1998-02-15
Abstract
In this paper,the necessary theoretical analysis for the approximation boundary element method to solve dynamical response of viscoelastic thin plate presented in [1] is.discussed.The theorem of existence and uniqueness of the approximate solution andthe error estimation are also obtained.Based on these conclusions,the principle for choosing the mesh size and the number of truncated terms in the fundamental solution are given.It isshown that the theoretical ana analysis in this paper are consistent with thenumerical results in [1].
References
[1]
丁睿、朱正佑、程昌钧,粘弹性薄板动力响应的边界元法(Ⅰ),应用数学和力学,18(3)(1997),211-216.
[2]
丁方允,三维Helmholtz方程Dirichlet问题的边界元法及其收敛性分析,兰州大学学报,31(3)(1995),30-38.
[3]
祝家麟,《椭圆边值问题的边界元分析》,科学出版社(1987).
[4]
K.Ruotsalainen and W.Wendland,On the boundary element method for somenonlinear boundary value problem,Numer Math.53,1(1988),229-314.
[5]
R.Bellman.Numerical Inversion of the Laplace Transform,Amer.Elsevier.Publ.Co,(1966).624-635.
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