Complementarity systems and approximation of variational inequalities

 Access to full text

 Full (PDF)

1. [l] BAIOCCHI C.Su un problema di frontiera libera connesso a questioni di idraulica. Ann. Mat. Pura ed Appl. 92 (1972), 107-127. Zbl0258.76069MR408443
2. [2] BAIOCCHI C. - COMINCIOLI V - GUERRI L . - VOLPI GFree boundray problems in the theory of fluid flow through porous media : a numerical approach. Calcolo 10 (1973) 1-86. Zbl0296.76052MR329288
3. [3] BREZIS H - STAMPACCHIA GSur la régularité de la solution d'inéquations elliptiques. Bull. Soc. Math. France 96 (1968) 153-180. Zbl0165.45601MR239302
4. [4] CHANDRASEKARAN R.Aspecial case of the complementanty pivot problem. Opsearch (1970), 263-268. MR282653
5. [5] COMINCIOLI V. - GUERRI R. - VOLPI GAnalisi numerica di un frontiera libera connesso al moto di un fluido attraverso un mezzo poroso L A.N., C.N.R. 17 (1971) Pavia Zbl0263.65075
6. [6] COMINCIOLI V.Metodi di nlassamento per la minimizzazione in uno spazio prodotto. L A N , C.N.R, 20 (1971) Pavia. Zbl0263.65076
7. [7] COTTLE R W. - HABETLER G I - LEMKE C. E.Quadratic forms semidefinite over convex cones R.P.I. Math. Rep (1967) Reusselaer Polytechnic Inst Troy, New-York, 551-565. Zbl0221.15018MR332835
8. [8] COTTLE R. W. - DANTZIG G.B.Positive (semi) definite programming Non Linerar Programming (Abadie J. Ed.) North-Holland Amsterdam (1967), 55-73. Zbl0178.22801MR219310
9. [9] COTTLER R. W. - DANTZIG G B.Complementanty pivot theory of mathematical programming. Linear Algebra and its Appl 1 (1968) 103-125 Zbl0155.28403MR226929
10. [l0] DE ANGELIS V - FUSCIARDI A. - SCHIAFFINO A.Some methods for the numerical solution of variational inequahties with two obstacles. Calcolo (to appear). Zbl0289.49027MR467470
11. [11] DOLCETTA I.Sistemi di complementarità e diseguaglianze variazionah.Test Univ. di Roma (1972). 
12. [l2] DURAND J.FResolution numérique des problèmes aux limites sous-harmoniques. Thèse, Univ. de Montpellier (1968). MR251928
13. [13] DURAND J FL'algorithme de Gauss Seidel applique à un problème unilatéral non symétrique R A I R O , R-2 (1972), 23-30 MR389190
14. [14] FALK R SError estimates for the approximation of a class of vanational inequalities Thesis, Rutger Univ New Bruswich Zbl0297.65061
15. [15] FIEDLER M. - PTAK VOn matrices with non positive off diagonal elements and positive principal minors Czech Math J 12 (1962), 382-400 Zbl0131.24806MR142565
16. [16] FUSCIARDI A. - MOSCO U - SCARPINI F CHlAFFINO AA dual method for the numencal solution of some vanational inequalities J Math Anal Appl 40 (1972), 471-493 Zbl0277.49011MR324513
17. [17] GLOWINSKI RLa methode de relaxation Quaderm di Matematica Ist Mat Univ di Roma, 14 (1971) 
18. [18] KARAMARDIANSThe nonlinear complementanty problem with application JOTA, 4 (1969), 87-98 
19. [19] KARAMARDIANSThe complementaring problem Mathematical programming 2 (1972), 107-129 
20. [20] LEMKE C ERecent results on complementanty problems Proceedings of the Princeton Symposium on Mathematical Programming (Kuhn H W Ed )Princeton Univ Press (1970), 349 384 Zbl0227.90043MR272400
21. [21] LEVATI C - SCARPINI F - VOLPI GSul trattamento numenco di alcuni problemi vanazionali di tipo unilaterale L A N , C N R 82 (1974) Pavia Zbl0359.35001
22. [22] LEWY H - STAMPACCHIA GOn the regulanty of a solution of a vanational inequahty Comm Pure Appl Math 22 (1969) 153 - 188 Zbl0167.11501MR247551
23. [23] LEWY H - STAMPACCHIA GOn the smoothness of superharmonics which solve a minimum problem J d'Anal Math (1970), 227-236 Zbl0206.40702MR271383
24. [24] LIONS J L - STAMPACCHIA GVanational inequahties Comm Pure Appl Math 20 (1967), 493-519 Zbl0152.34601MR216344
25. [25] MANCINO O G - STAMPACCHIA GConvex programming and vanational inequahties, JOTA 9 (1972), 3-23 Zbl0223.90031MR305815
26. [26] MARZULLI PRisoluzione alle differenze finite di equazioni alle denvate parzialli di tipo ellittico con condizioni su un contorno libero Calcolo Suppl 1,5 (1968), 1-22 
27. [27] MORE JJThe application of variational inequalities to complementarity problems and existence theorems Tech Rep 71-110 Cornell Umv Ithaca 
28. [28] MORE J JCoercitivity conditions in nonlinear complementanty problems Tech Rep 72-146 Cornell Umv Ithaca 
29. [29] MORE J JClasses of functions and feasibility conditions in non-linear complementanty problems Tech Rep 73-174 Cornell Univ Ithaca Zbl0291.90059
30. [30] MOREAU J JMajorantes sur-harmoniques minimales d'une f onction continue Sem d'Anal Umlat 5 (1968) Univ de Montpellier MR271384
31. [31] MOREAU J JTraitement numenque d'un problème aux denvees partielles de type unilatéral Sem d'Anal Num 15 (1969) Univ de Montreal 
32. [32] MOSCO UConvergence of convex sets and of solutions of vanational inequalitiesAdv in Math 3 (1969), 510-585 Zbl0192.49101MR298508
33. 133] MOSCO UAn introduction to the approximate solution of vanational inequalities Constructive Aspects of Functional Analysis Corso CIME 1971 , Ed G Geymonat Cremonese, Roma (1973 ) Zbl0266.49005
34. [34] MOSCO U.Dual variational inequalities, J. Math. Anal. Aopl. 39 (1972), 202-206. Zbl0262.49003MR313913
35. [35] MOSCO U. - STRANG G.One sided approximation and variational inequalitites. Bull. A.M.S. 80, (1974), 308-312. Zbl0278.35026MR331818
36. [36] MOSCO U. - TROIANIELLO G.On the smoothness of solutions of unilatéral Dirichlet problems. Boll. U.M.I. 8 (1973), 57-67. Zbl0277.35033MR390479
37. [37] SIBONY M.Sur l'approximation d'équations aux dérivées partielles non linéaires de type monotone. J. Math. Anal. Appl. 34 (1971 ), 502-564. Zbl0216.42201MR420361
38. [38] SIBONY M.Méthodes itératives pour les équations et inéquations aux dérivées partielles non linéaires de type monotone. Calcolo 2 (1970), 65-183. Zbl0225.35010MR659098
39. [39] STAMPACCHIA G.Formes bilinéaires coercitives sur les ensembles convexes. C.R. Acad. Sc. Paris 258 (1964), 4413-4416. Zbl0124.06401MR166591
40. [40] STAMPACCHIA G.On a problem of numerical analysis connected with the theory of variational inequalities. I.N.A.M. 10 Symposia Math. (1972),281-293. Zbl0265.49004MR367756
41. [4l] TUCKER A.W.Principal pivot transforms of square matrices. SIAM 5 (1963)305. 
42. [42] VARGA R.S.Matrix itérative analysis. Prentice - Hall (1962) New Jersey. Zbl0133.08602MR158502

1. F. Scarpini, M. A. Vivaldi, Évaluation de l'erreur d'approximation, via éléments finis d'ordre un, pour une inéquation parabolique relative aux convexes dépendant du temps
2. Francesco Scarpini, Maria Agostina Vivaldi, Error estimates for the approximation of some unilateral problems