PRECONDITIONERS FOR HIGH DEGREE ELEMENTS

被引:11
作者
BARRAGY, E
CAREY, GF
机构
[1] The University of Texas at Austin, Austin
基金
美国国家科学基金会;
关键词
D O I
10.1016/0045-7825(91)90116-N
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The present investigation considers element block preconditioners for discretizations employing elements of high degree. Several different element block preconditioners are constructed and compared in numerical studies for a model elliptic problem. For regular grids a 2-level preconditioning scheme is found to work quite well. This consists of a local element preconditioner based on transformation of polynomial basis functions, combined with a simple global preconditioner such as Jacobi diagonal type preconditioning. For grids with non-constant coefficients or highly skewed grids, the block preconditioners described here can be applied instead of Jacobi preconditioning.
引用
收藏
页码:97 / 110
页数:14
相关论文
共 12 条
[1]   THE PROBLEM OF SELECTING THE SHAPE FUNCTIONS FOR A P-TYPE FINITE-ELEMENT [J].
BABUSKA, I ;
GRIEBEL, M ;
PITKARANTA, J .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1989, 28 (08) :1891-1908
[2]   THE P-VERSION OF THE FINITE-ELEMENT METHOD [J].
BABUSKA, I ;
SZABO, BA ;
KATZ, IN .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1981, 18 (03) :515-545
[3]   A PARALLEL ELEMENT-BY-ELEMENT SOLUTION SCHEME [J].
BARRAGY, E ;
CAREY, GF .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1988, 26 (11) :2367-2382
[4]  
Briggs W L, 1987, MULTIGRID TUTORIAL
[5]  
CAREY GF, 1989, BIT, V29
[6]  
CAREY GF, 1984, INNOVATIVE METHODS N, P41
[7]  
GUSTAFSSON I, 1987, BIT, V18, P42
[8]  
HAGEMAN LA, 1981, APPLIED ITERATIVE ME
[9]  
HAYES LJ, 1985, INNOVATIVE METHOD NO
[10]   AN ELEMENT-BY-ELEMENT SOLUTION ALGORITHM FOR PROBLEMS OF STRUCTURAL AND SOLID MECHANICS [J].
HUGHES, TJR ;
LEVIT, I ;
WINGET, J .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1983, 36 (02) :241-254