DIRICHLET PROBLEM ASSOCIATED WITH A RANDOM QUASI-LINEAR OPERATOR IN ARANDOM DOMAIN

Citation
Y. Abddaimi et G. Michaille, DIRICHLET PROBLEM ASSOCIATED WITH A RANDOM QUASI-LINEAR OPERATOR IN ARANDOM DOMAIN, Modelisation mathematique et analyse numerique, 30(1), 1996, pp. 103-121
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0764583X
Volume
30
Issue
1
Year of publication
1996
Pages
103 - 121
Database
ISI
SICI code
0764-583X(1996)30:1<103:DPAWAR>2.0.ZU;2-E
Abstract
We study the rate of convergence of solutions relative to Dirichlet pr oblems associated with a random quasilinear operator in randomly perfo rated domains of R(d) With holes whose size tends to 0. Our direct met hod allows to extend the results already obtained by an epi-convergenc e method irt the case of symetric operator with deterministic and cons tant coefficients in a random domain.