Pointwise Error Estimate for a Noncoercive System of Quasi-Variational Inequalities Related to The Management of Energy Production

Volume 3, Issue 5, 2002

Article 79

POINTWISE ERROR ESTIMATE FOR A NONCOERCIVE SYSTEM OF QUASI-VARIATIONAL INEQUALITIES RELATED TO THE MANAGEMENT OF ENERGY PRODUCTION

MESSAOUD BOULBRACHENE

COLLEGE OF SCIENCE,
DEPARTMENT OF MATHEMATICS AND STATISTICS,
SULTAN QABOOS UNIVERSITY,
P.O. BOX 36, MUSCAT 123,
SULTANATE OF OM.
E-Mail: boulbrac@squ.edu.om

Received 27 May, 2002; Accepted 24 July, 2002.
Communicated by: R. Verma

ABSTRACT. This paper is devoted to the approximation by a piecewise linear finite element method of a noncoercive system of elliptic quasi-variational inequalities arising in the management of energy production. A quasi-optimal L^¥ error estimate is established, using the concept of subsolution.

Key words:
Quasi-Variational Inequalities, Subsolutions, Finite Elements, L^¥-Error Estimate.

2000 Mathematics Subject Classification:
49J40, 65N30, 65N15.

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