Loinger, E. A finite element approach to a quasi-variational inequality. (English) Zbl 0458.65060 Calcolo 17, 197-209 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 Documents MSC: 65K10 Numerical optimization and variational techniques 49J40 Variational inequalities 49J55 Existence of optimal solutions to problems involving randomness Keywords:quasi-variational inequality; stochastic impulse control; error bound; finite elements PDFBibTeX XMLCite \textit{E. Loinger}, Calcolo 17, 197--209 (1980; Zbl 0458.65060) Full Text: DOI References: [1] C. Baiocchi, A. Capelo,Disequazioni variazionali e quasi-variazionali.Applicazioni a problemi di frontiera libera.1 e2 (1978), Pitagora Editore, Bologna. · Zbl 1308.49002 [2] A. Bensoussan, J. L. Lions,Contrôle impulsionnel et systemes d’inéquations quasivariationnelles, C. R. Acad. Sci. Paris278 (1974), 675–679. · Zbl 0316.49002 [3] F. Brezzi, W. W. Hager, P. A. Raviart,Error Estimates for the Finite Element Solution of Variational Inequalities, Numer. Math.28 (1977), 431–433. · Zbl 0369.65030 · doi:10.1007/BF01404345 [4] L. A. Caffarelli, A. Friedman,Regularity of the Solution of a Quasi-Variational Inequality for the Impulse Control Problem I, Comm. in Part. Diff. Eqs3 (1978), 745–753. II to appear. · Zbl 0385.35010 · doi:10.1080/03605307808820076 [5] Ph. Cortey-Dumont,Contribution à l’approximation numérique d’une inéquation quasi-variationnelle, Thèse (1978), Besançon. [6] R. Glowinski, J. L. Lions, R. Trémoliers,Analyse numérique des inéquations variationnelles (1976), Dunod, Paris. [7] M. Goursat, J. P. Quadrat,Analyse numérique d’inéquations quasi-variationnelles élliptiques associées à des problemes de control impusionnel, Report Iria Leboria186 (1976), Le Chesnay. [8] B. Hanouzet, J. L. Joly,Convergence uniform des itérés definissant la solution d’une inéquation quasi-variationnelle abstraite, C.R. Acad. Sci. Paris286 (1978), 735–738. · Zbl 0373.49012 [9] B. Hanouzet, J. L. Joly,Régularité jusqu’au bord pour la solution d’une inéquation quasi-variationnelle de type Dirichlet, Anal. Appl. et Inform. C.N.R.S.78.05 (1978), Bordeaux. [10] T. Laetsch,A Uniqueness Theorem for Elliptic Quasi-Variational Inequalities, Functional Analysis18 (1975), 286–287. · Zbl 0327.49003 · doi:10.1016/0022-1236(75)90017-8 [11] J. L. Lions,On the Numerical Approximation of Problems of Impulse Controls, Lect. Notes Comp. Sci.27 (1975), 232–251. · Zbl 0311.49025 [12] F. Mignot, J. P. Puel,Un resultat de perturbation singulière dans les inéquations variationnelles, Report, Université de Lille I. [13] U. Mosco,Régularité forte de la fonction d’Hamilton-Jacobi du controle stochastique impulsionnel et continu, C. R. Acad. Sci. Paris286 (1978), 211–214. · Zbl 0382.49012 [14] U. Mosco,On Some Non-Linear Quasi-Variational Inequalities and Implicit Complementarity Problems in Stochastic Control Theory, to appear. · Zbl 0486.49004 [15] J. Nitsche,L -Convergence of Finite Element Approximations, Lect. Notes Math.606 (1976), 261–274. · doi:10.1007/BFb0064468 [16] P. A. Raviart,Méthode des Eléments Finis, Cours 3e Cycle (1972), Paris. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.