ABOUT THE CONDITIONING OF MATRICES IN THE P-VERSION OF THE FINITE-ELEMENT METHOD FOR 2ND-ORDER ELLIPTIC PROBLEMS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:63

Article; Proceedings Paper

MAITRE, JF ; POURQUIER, O

关键词: FINITE ELEMENT METHOD;    CONDITION NUMBER;    DIAGONAL PRECONDITIONING;   

DOI  :  10.1016/0377-0427(95)00062-3

来源: Elsevier

【 摘 要 】

In the framework of adaptive methods, bases of hierarchical type are used in the p-version of the finite element method. We have studied the matrices corresponding to the most used basis, introduced by Babuska and Szabo, in the case of d-dimensional rectangular elements. For the internal nodes, we show that the condition number is O(p(4(d-1))) (resp, O(p(4d))) for the stiffness (resp. mass) matrix. Moreover, we show that the usual diagonal preconditioning divides the exponents by two.

【 授权许可】

Free