An Adaptive Boundary Collocation Method for Plate Bending Problems

被引：0

作者：

Zheng, Xiaoping ^{[1
]}

Huang, Quanzhang ^{[1
]}

Wang, Bin ^{[1
]}

机构：

[1] Department of Engineering Mechanics, Tsinghua University, Beijing

来源：

Tsinghua Science and Technology | 2007年 / 12卷 / 05期

关键词：

adaptive computation; boundary collocation; error indicator; least-square technique; plate bending problem;

D O I：

10.1016/S1007-0214(07)70134-7

中图分类号：

学科分类号：

摘要：

A boundary collocation method based on the least-square technique and a corresponding adaptive computation process have been developed for the plate bending problem. The trial functions are constructed using a series of the biharmonic polynomials, and the local error indicators are given by the residuals of the energy density on the boundary. In comparison with the conventional collocation methods, the solution accuracy in the present method can be improved in an economical and efficient way. In order to demonstrate the efficiency and advantages of the adaptive boundary collocation method proposed in this paper, two numerical examples are presented for circular plates subjected to uniform loads and restrained by mixed boundary conditions. The numerical results for the examples show good agreement with ones presented in the literature. © 2007 Tsinghua University Press.

引用

页码：567 / 571

页数：4

共 6 条

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[3] Li Z.-C., Lu T.-T., Huang H.-T., Et al., Trefftz, collocation, and other boundary methods-A comparison, Numerical Methods for Partial Differential Equations, 23, 1, pp. 93-144, (2006)
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