Error bounds for convex constrained systems in Banach spaces
Error bounds for general mixed quasivariational inequalities.
Error estimate for optimality of distributed parameter control problems via duality.
Error estimates and free-boundary convergence for a finite difference discretization of a parabolic variational inequality
Error estimates for finite element approximations of elliptic control problems
We investigate finite element approximations of one-dimensional elliptic control problems. For semidiscretizations and full discretizations with piecewise constant controls we derive error estimates in the maximum norm.
Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space
The finite element approximation of optimal control problems for semilinear elliptic partial differential equation is considered, where the control belongs to a finite-dimensional set and state constraints are given in finitely many points of the domain. Under the standard linear independency condition on the active gradients and a strong second-order sufficient optimality condition, optimal error estimates are derived for locally optimal controls.
Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems
In this paper we derive a priori error estimates for linear-quadratic elliptic optimal control problems with finite dimensional control space and state constraints in the whole domain, which can be written as semi-infinite optimization problems. Numerical experiments are conducted to ilustrate our theory.
Error Estimates for the Finite Element Solution of Variational Inequalities. Part II. Mixed Methods.
Error estimates for the finite element solutions of variational inequalities.
Error estimates for the finite element solutions of variational inequalities
Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints
Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints
The goal of this paper is to derive some error estimates for the numerical discretization of some optimal control problems governed by semilinear elliptic equations with bound constraints on the control and a finitely number of equality and inequality state constraints. We prove some error estimates for the optimal controls in the norm and we also obtain error estimates for the Lagrange multipliers associated to the state constraints as well as for the optimal states and optimal adjoint states....
Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints
The goal of this paper is to derive some error estimates for the numerical discretization of some optimal control problems governed by semilinear elliptic equations with bound constraints on the control and a finitely number of equality and inequality state constraints. We prove some error estimates for the optimal controls in the L∞ norm and we also obtain error estimates for the Lagrange multipliers associated to the state constraints as well as for the optimal states and optimal adjoint states. ...
Error-estimates for the Ritz's method of finding eigenvalues and eigenfunctions
Esistenza e regolarità per il problema dell’area minima con ostacoli in variabili
Esistenza ed unicità della soluzione di una disequazione variazionale associata ad un operatore ellittico del secondo ordine a coefficienti discontinui
Espaces variationnels et mécanique
Ce travail est essentiellement consacré aux systèmes dynamiques non conservatifs, la force généralisée dépendant à la fois des paramètres de position et de vitesse . désignant l’espace-temps de configuration, l’espace fibré des vecteurs tangents, celui des directions tangentes à , on caractérise par son lagrangien homogène et le tenseur-force antisymétrique dont le produit contracté par le vecteur vitesse donne le vecteur force généralisé.Dans la première partie, on étudie l’algèbre...
Estimates for Evolutionary Surfaces of Prescribed Mean Curvature.
Estimates for solutions of nonlinear variational inequalities
Estimation du taux de décroissance pour la solution de problèmes de stabilisation, application à la stabilisation de l'équation des ondes