上海交通大学学报

上海交通大学学报 >

2002 , Vol. 36 >Issue 03: 424 - 427

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2002.03.033

自适应P加密有限元的面向对象程序实现

展开
  • 上海交通大学建筑工程与力学学院，上海 　200030
陈震东（1975-)，男，上海人，硕士，主要研究数值方法在岩土工程中的应用．

收稿日期: 2001-03-12

  网络出版日期: 2021-04-25

基金资助

国家自然科学基金资助项目(59879012)

收起

Application of Object-Oriented Program to P -Version Adaptive Finite Element Methods

Expand
  • School of Civil Eng. and Mechanics, Shanghai Jiaotong Univ. , Shanghai 200030, China

Received date: 2001-03-12

  Online published: 2021-04-25

Fold

摘要

基于面向对象的程序设计方法，以C++语言构造了自适应有限元P加密程序，它涉及到形函数的构造、高阶单元的形成、自升阶的算法以及误差估计一系列类及成员函数．解线性方程组时，根据P加密的特点，提出了一种节约存储和运算空间的数据结构．所给算例的计算结果表明，理论推导和程序实现是正确的．

关键词： 自适应有限元; P加密; 面向对象; 随机存储

本文引用格式

陈震东, 王建华 . 自适应P加密有限元的面向对象程序实现[J]. 上海交通大学学报, 2002 , 36(03) : 424 -427 . DOI: 10.16183/j.cnki.jsjtu.2002.03.033

Abstract

Using C++ language with object-oriented feature, a P-version adaptive FEM program was designed, which contains the modules of shape function, high grade element, adaptive course and error estimate. In the function of solving linear equations, a data structure that can save storage space and computation resource was presented. The provided examples show the correction of the theory and program.

Key words： adaptive finite element methods; P-version; object-oriented; random storage

参考文献

[1] Zienkiewicz O C, Zhu J Z. A simple error estimator and adaptive procedure for practical engineering analysis[J]. Int J Num Meth Engng, 1987, 24: 337-357
[2] Zohar Yosibash. Accurate stress extraction for nearly incompressible materials by the displacement formulation of the P-version FEM[J]. Communications in Numerical Methods in Engineering, 1996, 12: 807-826.
[3] Woo K S, Basu P K. Analysis of singular cylindrical shells by P-version of FEM[J]. International Journal of Solids and Structures, 1989, 25: 151-165
[4] 王国峰. C++语言及其程序设计使用教程[M]. 北京: 电子工业出版社, 1996.
Options
文章导航

/

〈 〉