ITERATIVE METHODS FOR STABILIZED MIXED VELOCITY PRESSURE FINITE-ELEMENTS

被引:15
作者
ATANGA, J
SILVESTER, D
机构
[1] Department of Mathematics, University of Manchester Institute of Science and Technology, Manchester, M60 IQD
关键词
STABILIZED FINITE ELEMENT; STOKES EQUATION;
D O I
10.1002/fld.1650140106
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper is concerned with iterative techniques for the solution of the linear system of equations arising from a finite element approximation of an elliptic partial differential equation by a mixed method. Three types of iterative algorithms are investigated. Applications to the Stokes equations are discussed and the results of numerical experiments given.
引用
收藏
页码:71 / 81
页数:11
相关论文
共 23 条
[1]   M-STEP PRECONDITIONED CONJUGATE-GRADIENT METHODS [J].
ADAMS, L .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (02) :452-463
[2]  
[Anonymous], 1971, ITERATIVE SOLUTION L
[3]  
BANK RE, 1990, NUMER MATH, V56, P645, DOI 10.1007/BF01405194
[4]  
BRAMBLE JH, 1988, MATH COMPUT, V50, P1, DOI 10.1090/S0025-5718-1988-0917816-8
[5]   STABILIZED MIXED METHODS FOR THE STOKES PROBLEM [J].
BREZZI, F ;
DOUGLAS, J .
NUMERISCHE MATHEMATIK, 1988, 53 (1-2) :225-235
[6]  
Brezzi F, 1984, EFFICIENT SOLUTIONS, P11
[7]   SOME FAST 3D FINITE-ELEMENT SOLVERS FOR THE GENERALIZED STOKES PROBLEM [J].
CAHOUET, J ;
CHABARD, JP .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1988, 8 (08) :869-895
[8]   ITERATIVE STABILIZATION OF THE BILINEAR VELOCITY CONSTANT PRESSURE ELEMENT [J].
FORTIN, M ;
BOIVIN, S .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1990, 10 (02) :125-140
[9]  
Gabay D., 1983, CHAPTER AUGMENTED LA, P299
[10]  
Glowinski R., 1984, NUMERICAL METHODS NO