L∞-error Analysis for a System of Quasivariational Inequalities with Noncoercive Operators

نویسندگان

  • MESSAOUD BOULBRACHENE
  • SAMIRA SAADI
چکیده

Here, Ω is a bounded smooth domain of RN , N ≥ 1, with boundary ∂Ω, (·,·) is the inner product in L2(Ω), for i= 1, . . . , J , ai(u,v) is a continuous bilinear form on H1(Ω)× H1(Ω), and f i is a regular function. Problem (1.1) arises in themanagement of energy production problems where J power generation machines are involved (see [2] and the references therein). In the case studied here, (MU)i represents a “cost function” and the prototype encountered is

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

L∞-error Estimate for a Noncoercive System of Elliptic Quasi-variational Inequalities: a Simple Proof

In this paper we provide a simple proof to derive L∞-error estimate for a noncoercive system of quasi-variational inequalities related to the management of energy production. The key idea is a discrete L∞-stability property owned by the corresponding coercive problem.

متن کامل

On a Noncoercive System of Quasi-variational Inequalities Related to Stochastic Control Problems

This paper deals with a system of quasi-variational inequalities with noncoercive operators. We prove the existence of a unique weak solution using a lower and upper solutions approach. Furthermore, by means of a Banach’s fixed point approach, we also prove that the standard finite element approximation applied to this system is quasi-optimally accurate in L∞.

متن کامل

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

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.

متن کامل

Sensitivity analysis of solutions for a system of generalized parametric nonlinear quasivariational inequalities

A new class of system of generalized parametric nonlinear quasivariational inequalities involving various classes of mappings is introduced and studied. With the properties of maximal monotone mappings, the equivalence between the class of system of generalized parametric nonlinear quasivariational inequalities and a class of fixed point problems is proved and an iterative algorithm with errors...

متن کامل

Algorithmic Approach for the Asymptotic Behavior of a System of Parabolic Quasi-Variational Inequalities

In this paper we evaluate the variation in L 1-norm between u i h (T; x) ; i = 1; :::; J the discrete solution calculated at the moment T and u i 1 ; the asymptotic continuous solution of the system of parabolic quasi-variational inequalities with noncoercive operators. The proof uses an algorithmic approach and the system of elliptic quasi-variational inequalities results.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006