About the conditioning of matrices in the p-version of the finite element method for second order elliptic problems

Autor:	Olivier Pourquier, Jean-François Maitre
Rok vydání:	1995
Předmět:	Finite element method Applied Mathematics Diagonal Mathematical analysis Diagonal preconditioning Basis (universal algebra) Mass matrix Elliptic curve Matrix (mathematics) Computational Mathematics Condition number Stiffness matrix Mathematics
Zdroj:	Journal of Computational and Applied Mathematics. 63(1-3):341-348
ISSN:	0377-0427
DOI:	10.1016/0377-0427(95)00062-3
Popis:	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(p4(d−1)) (resp. O(p4d)) for the stiffness (resp. mass) matrix. Moreover, we show that the usual diagonal preconditioning divides the exponents by two.
Databáze:	OpenAIRE
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