A PENALTY METHOD FOR SOLVING PARTIAL-DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY-CONDITION - APPLICATION TO THE HOMOGENIZATION THEORY

Authors
AOUBIZA B LAYDI MR
Citation
B. Aoubiza et Mr. Laydi, A PENALTY METHOD FOR SOLVING PARTIAL-DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY-CONDITION - APPLICATION TO THE HOMOGENIZATION THEORY, Mathematical models and methods in applied sciences, 8(5), 1998, pp. 749-760
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
8
Issue
5
Year of publication
1998
Pages
749 - 760
Database
ISI
SICI code
0218-2025(1998)8:5<749:APMFSP>2.0.ZU;2-P
Abstract
We present a numerical method, based on a penalization technique, for the solution of an elliptic problem with periodic boundary conditions. The convergence of the method is established and an error estimate is given. Numerical tests are performed on some problems from homogeniza tion theory.