L∞-error estimate for a system of elliptic quasivariational inequalities
نویسندگان
چکیده
منابع مشابه
L∞-error Estimate for a System of Elliptic Quasivariational Inequalities
whereΩ is a bounded smooth domain ofRN ,N ≥ 1, with boundary ∂Ω,ai(u,v) are J-elliptic bilinear forms continuous on H1(Ω)×H1(Ω), (·,·) is the inner product in L2(Ω), and f i are J-regular functions. This system, introduced by Bensoussan and Lions (see [3]), arises in the management of energy production problems where J-units are involved (see [4] and the references therein). In the case studied...
متن کاملL∞-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 کاملL∞-error Analysis for a System of Quasivariational Inequalities with Noncoercive Operators
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...
متن کاملL∞-error Estimates for a Class of Semilinear Elliptic Variational Inequalities and Quasi-variational Inequalities
This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi-variational inequalities (QVI) with the right-hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and QVIs. We also prove that this approach ext...
متن کاملA Posteriori Error Estimates for Elliptic Variational Inequalities
We derive hierarchical a posteriori error estimates for elliptic variational inequalities. The evaluation amounts to the solution of corresponding scalar local subproblems. We derive some upper bounds for the e ectivity rates and the numerical properties are illustrated by typical examples.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2003
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s016117120301189x