PRECONDITIONERS FOR HIGH DEGREE ELEMENTS

被引：11

作者：

BARRAGY, E

CAREY, GF

机构：

[1] The University of Texas at Austin, Austin

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1991年 / 93卷 / 01期

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

页码：97 / 110

页数：14