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

[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.

[发布日期] 1995-11-20

[效力级别]  Proceedings Paper

[关键词] FINITE ELEMENT METHOD;CONDITION NUMBER;DIAGONAL PRECONDITIONING