A new approach to quadrature for finite elements incorporating hourglass control as a special case

被引:24
作者
Hansbo, P [1 ]
机构
[1] Royal Inst Technol, Dept Numer Anal & Comp Sci, S-10044 Stockholm, Sweden
关键词
D O I
10.1016/S0045-7825(97)00257-0
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The purpose of this paper is to suggest a simple alternative approach to Gaussian quadrature in the finite element method. We show that this quadrature rule may be used to derive 'hourglass control' stabilization matrices. We also show that the proposed quadrature scheme does not destroy the order of the bilinear finite element method. (C) 1998 Elsevier Science S.A.
引用
收藏
页码:301 / 309
页数:9
相关论文
共 12 条
[1]  
[Anonymous], INTEGRATION ENG SCI
[2]   ASSUMED STRAIN STABILIZATION OF THE 8 NODE HEXAHEDRAL ELEMENT [J].
BELYTSCHKO, T ;
BINDEMAN, LP .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 105 (02) :225-260
[3]   HOURGLASS CONTROL IN LINEAR AND NONLINEAR PROBLEMS [J].
BELYTSCHKO, T ;
ONG, JSJ ;
LIU, WK ;
KENNEDY, JM .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 43 (03) :251-276
[4]   EFFICIENT IMPLEMENTATION OF QUADRILATERALS WITH HIGH COARSE-MESH ACCURACY [J].
BELYTSCHKO, T ;
BACHRACH, WE .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 54 (03) :279-301
[5]   A UNIFORM STRAIN HEXAHEDRON AND QUADRILATERAL WITH ORTHOGONAL HOURGLASS CONTROL [J].
FLANAGAN, DP ;
BELYTSCHKO, T .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1981, 17 (05) :679-706
[6]   CALCULATION OF GAUSS QUADRATURES WITH MULTIPLE FREE AND FIXED KNOTS [J].
GOLUB, GH ;
KAUTSKY, J .
NUMERISCHE MATHEMATIK, 1983, 41 (02) :147-163
[7]   ASPECTS OF CONSERVATION IN FINITE-ELEMENT FLOW COMPUTATIONS [J].
HANSBO, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 117 (3-4) :423-437
[8]   NEW IMPROVED HOURGLASS CONTROL FOR BILINEAR AND TRILINEAR ELEMENTS IN ANISOTROPIC LINEAR ELASTICITY [J].
KOH, BC ;
KIKUCHI, N .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1987, 65 (01) :1-46
[9]  
LIU WK, 1985, COMPUT METHOD APPL M, V53, P13
[10]   FINITE-ELEMENT HOURGLASSING CONTROL [J].
SCHULZ, JC .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1985, 21 (06) :1039-1048