COARSE-MESH-ACCURACY IMPROVEMENT OF BILINEAR Q4-PLANE ELEMENT BY THE COMBINED HYBRID FINITE ELEMENT METHOD

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1456-1465.

COARSE-MESH-ACCURACY IMPROVEMENT OF BILINEAR Q₄-PLANE ELEMENT BY THE COMBINED HYBRID FINITE ELEMENT METHOD

谢小平¹, 周天孝²

1. Mathematical College, Sichuan University, Chengdu 610064, P.R.China;
2. Aeronautical Computing Technique Research Institute, Xi’an 710068, P.R.China

收稿日期:2001-09-29 修回日期:2003-06-20 出版日期:2003-12-18 发布日期:2003-12-18
通讯作者: DAI Shi-qiang
基金资助:
the National Tianyuan Yourth Funds of China(TY10126027)

COARSE-MESH-ACCURACY IMPROVEMENT OF BILINEAR Q₄-PLANE ELEMENT BY THE COMBINED HYBRID FINITE ELEMENT METHOD

XIE Xiao-ping¹, ZHOU Tian-xiao ²

1. Mathematical College, Sichuan University, Chengdu 610064, P.R.China;
2. Aeronautical Computing Technique Research Institute, Xi’an 710068, P.R.China

Received:2001-09-29 Revised:2003-06-20 Online:2003-12-18 Published:2003-12-18
Supported by:
the National Tianyuan Yourth Funds of China(TY10126027)

摘要/Abstract

摘要： The combined hybrid finite element method is of an intrinsic mechanism of enhancing coarse-mesh-accuracy of lower order displacement schemes.It was confirmed that the combined hybrid scheme without energy error leads to enhancement of accuracy at coarse meshes,and that the combination parameter plays an important role in the enhancement.As an improvement of conforming bilinear Q₄-plane element,the combined hybrid method adopted the most convenient quadrilateral displacements-stress mode,i.e.,the mode of compatible isoparametric bilinear displacements and pure constant stresses.By adjusting the combined parameter,the optimized version of the combined hybrid element was obtained and numerical tests indicated that this parameter-adjusted version behaves much better than Q₄-element and is of high accuracy at coarse meshes.Due to elimination of stress parameters at the elemental level,this combined hybrid version is of the same computational cost as that of Q₄-element.

Abstract: The combined hybrid finite element method is of an intrinsic mechanism of enhancing coarse-mesh-accuracy of lower order displacement schemes.It was confirmed that the combined hybrid scheme without energy error leads to enhancement of accuracy at coarse meshes,and that the combination parameter plays an important role in the enhancement.As an improvement of conforming bilinear Q₄-plane element,the combined hybrid method adopted the most convenient quadrilateral displacements-stress mode,i.e.,the mode of compatible isoparametric bilinear displacements and pure constant stresses.By adjusting the combined parameter,the optimized version of the combined hybrid element was obtained and numerical tests indicated that this parameter-adjusted version behaves much better than Q₄-element and is of high accuracy at coarse meshes.Due to elimination of stress parameters at the elemental level,this combined hybrid version is of the same computational cost as that of Q₄-element.

中图分类号:

O242.21

谢小平;周天孝. COARSE-MESH-ACCURACY IMPROVEMENT OF BILINEAR Q₄-PLANE ELEMENT BY THE COMBINED HYBRID FINITE ELEMENT METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(12): 1456-1465.

XIE Xiao-ping;ZHOU Tian-xiao . COARSE-MESH-ACCURACY IMPROVEMENT OF BILINEAR Q₄-PLANE ELEMENT BY THE COMBINED HYBRID FINITE ELEMENT METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(12): 1456-1465.

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COARSE-MESH-ACCURACY IMPROVEMENT OF BILINEAR Q₄-PLANE ELEMENT BY THE COMBINED HYBRID FINITE ELEMENT METHOD

COARSE-MESH-ACCURACY IMPROVEMENT OF BILINEAR Q₄-PLANE ELEMENT BY THE COMBINED HYBRID FINITE ELEMENT METHOD

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