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

doi:10.16183/j.cnki.jsjtu.2002.03.033

主管：中华人民共和国教育部
主办：上海交通大学
ISSN 1006-2467 CN 31-1466/U

Journal of Shanghai Jiao Tong University ›› 2002, Vol. 36 ›› Issue (03): 424-427.doi: 10.16183/j.cnki.jsjtu.2002.03.033

Special Issue: 王建华教授学报发文专辑

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

CHEN Zhen-dong, WANG Jian-hua

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

Received:2001-03-12 Online:2002-03-01 Published:2021-04-25

Abstract

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

CLC Number:

CHEN Zhen-dong, WANG Jian-hua. Application of Object-Oriented Program to P -Version Adaptive Finite Element Methods[J]. Journal of Shanghai Jiao Tong University, 2002, 36(03): 424-427.

Figures/Tables 5

Tab. 1

Tab. 2

Fig. 1

Fig. 2

Fig. 3

单元阶数p	e_x/kN	e_y/kN
2	- 5.697 363 4	- 2.808 562 3
4	- 5.254 713 5	- 2.597 337 6
6	- 5.259 334 5	- 2.592 443 7
8	- 5.259 258 2	- 2.592 593 5
10	- 5.259 259 4	- 2.592 592 4
理论值	- 5.259 259 3	- 2.592 592 6

单元阶数p	d_r/mm	e_r/kN	e_t/kN
2	14.178 487 34	- 1.498 345 327	8.483 689 832
4	14.165 141 23	- 1.465 992 832	8.139 796 745
6	14.166 452 45	- 1.466 523 683	8.133 483 464
8	14.166 667 86	- 1.466 663 523	8.133 333 644
10	14.166 666 65	- 1.466 666 664	8.133 333 387
理论值	14.166 666 67	- 1.466 666 667	8.133 333 333

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

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