A FAST METHOD OF NUMERICAL QUADRATURE FOR P-VERSION FINITE-ELEMENT MATRICES

被引:19
作者
HINNANT, HE
机构
[1] U.S. Army Vehicle Structures Directorate, NASA Langley Research Center, Hampton, Virginia
关键词
D O I
10.1002/nme.1620372109
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A new technique of numerical quadrature especially suited for quadrilateral and hexahedron p-version finite element matrices is presented. This new technique separates the integrand into two parts, and numerically operates on each part separately. The objective of this scheme is to minimize the computational cost of integrating the entire element matrix as opposed to minimizing the cost of integrating a single function, The efficiency of the new technique is compared with Gaussian quadrature and found to take a small fraction of the computational effort.
引用
收藏
页码:3723 / 3750
页数:28
相关论文
共 12 条
[1]  
BADDOURAH MA, 1991, 32ND P AIAA ASME ASC
[2]  
Douglas Jr J, 1989, COMPUTATIONAL EFFICI
[5]  
Gupta A. K., 1972, INT J NUMER METH ENG, V5, P83, DOI [10.1002/nme.1620050108, DOI 10.1002/NME.1620050108]
[6]  
HINNANT HE, 1992, 33RD P AIAA ASME ASC
[7]   ADAPTIVE FINITE-ELEMENT ANALYSIS OF LARGE-STRAIN ELASTIC RESPONSE [J].
KATO, K ;
LEE, NS ;
BATHE, KJ .
COMPUTERS & STRUCTURES, 1993, 47 (4-5) :829-855
[8]   ELEMENT STIFFNESS COMPUTATION ON CDC CYBER-205 COMPUTER [J].
NOOR, AK ;
PETERS, JM .
COMMUNICATIONS IN APPLIED NUMERICAL METHODS, 1986, 2 (03) :317-328
[9]  
NOOR AK, 1975, APR P AM SOC CIV ENG, V101
[10]  
WIDDER EV, 1961, ADV CALCULUS