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Pointwise error estimate for a noncoercive system of quasi-variational inequalities related to the management of energy production. (English) Zbl 1054.49005
Summary: 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 $$L^\infty$$ error estimate is established, using the concept of subsolution.

MSC:
 49J40 Variational inequalities 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000) 49N90 Applications of optimal control and differential games
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