@article{PSMIR_1976___S5_A14_0, author = {Whiteman, J. R. and Aslam Noor, M.}, title = {Finite {Element} {Methods} for {Mildly} {Nonlinear} {Elliptic} {Equations} and {Variational} {Inequalities}}, journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes}, eid = {14}, pages = {1--12}, publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes}, number = {S5}, year = {1976}, language = {en}, url = {http://www.numdam.org/item/PSMIR_1976___S5_A14_0/} }
TY - JOUR AU - Whiteman, J. R. AU - Aslam Noor, M. TI - Finite Element Methods for Mildly Nonlinear Elliptic Equations and Variational Inequalities JO - Publications des séminaires de mathématiques et informatique de Rennes PY - 1976 SP - 1 EP - 12 IS - S5 PB - Département de Mathématiques et Informatique, Université de Rennes UR - http://www.numdam.org/item/PSMIR_1976___S5_A14_0/ LA - en ID - PSMIR_1976___S5_A14_0 ER -
%0 Journal Article %A Whiteman, J. R. %A Aslam Noor, M. %T Finite Element Methods for Mildly Nonlinear Elliptic Equations and Variational Inequalities %J Publications des séminaires de mathématiques et informatique de Rennes %D 1976 %P 1-12 %N S5 %I Département de Mathématiques et Informatique, Université de Rennes %U http://www.numdam.org/item/PSMIR_1976___S5_A14_0/ %G en %F PSMIR_1976___S5_A14_0
Whiteman, J. R.; Aslam Noor, M. Finite Element Methods for Mildly Nonlinear Elliptic Equations and Variational Inequalities. Publications des séminaires de mathématiques et informatique de Rennes, no. S5 (1976), article no. 14, 12 p. http://www.numdam.org/item/PSMIR_1976___S5_A14_0/
1. Sur la regularité de la solution d'inequations elliptiques. Bull. Soc. Math.France 96, 153-180, 1968. | Numdam | MR | Zbl
, and ,2. General Lagrange and Hermite interpolation in R n with application to finite element methods. Arch. Rat. Mech. Anal. 46, 177-199, 1972. | MR | Zbl
, and ,3. Numerical methods of high-order accuracy for nonlinear boundary value problems, I. One dimensional problems. Numer. Math. 9, 394-430, 1967. | MR | Zbl
, , and ,4. Error bounds for the Galerkin method applied to singular and nonsingular boundary value problems. Numer. Math. 19, 266-282, 1972. | MR | Zbl
, and ,5. Error estimates for the approximation of a class of variational inequalities. Math. Comp. 28, 963-971, 1974. | MR | Zbl
,6. Dual formulations for potential and complementary energies. Unilateral boundary conditions. Application to the finite element method, pp. 175-188 of (ed.), The Mathematics of Finite Elements and Applications. Academic Press, London, 1973. | Zbl
,7. Variational inequalities. Comm. Pure. Appl. Math. 20, 493-519, 1967. | MR | Zbl
, and ,8. An introduction to the approximate solution of variational inequalities. In Constructive Aspects of Functional Analysis, Edizione Cremonese, Roma, 499-685, 1973. | Zbl
,9. One sided approximation and variational inequalities. Bull. Amer. Math. Soc., 80, 308-312, 1974. | MR | Zbl
, and ,10. Über die punktweise Konvergenz Finiter Elemente. Numer. Math. 25, 6-77, 1975. | MR | Zbl
,11. Optimal L2-Konvergenz Finiter Elemente bei Variationsungleichungen. I.S.N.M., Birkhäuser Verlag, Basel, (to appear). | MR | Zbl
,12. Lineare Spline-Funktionen und die Methoden von Ritz fur elliptische Randwertprobleme. Arch. rat. Mech. Anal. 36, 348-355, 1970. | MR | Zbl
,13. -convergence of finite element approximation. Journées Elements Finis, Rennes, May 1975. | MR | Zbl
,14. -convergence of finite element approximations. Mathematical Aspect of the Finite Element Method. Rome, December 1975. | MR | Zbl
,15. Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems, (to appear in Numerische Mathematik, 1976). | MR | Zbl
, and ,16. Error analysis of nonlinear variational inequalities, (to appear). | Zbl
, and ,17. Optimal estimates for the finite element method on irregular meshes (to appear). | MR | Zbl
,18. Approximation of nonlinear inequalities on Banach spaces, pp. 243-260 of A. Talbot (ed.) Approximation Theory. Academic Press, London, 243-260, 1970. | MR | Zbl
,19. Formes bilinéares coercitive sur les ensembles convexes, C.R.. Acad. Ac., Paris, 258, 4413-4416, 1964. | MR | Zbl
,20. The finite element method - linear and nonlinear applications. International Congress of Mathematics, Vancouver. August, 1974. | MR | Zbl
,21. Numerical Analysis. Reidel Publishing Co., Dordrecht, 1973. | MR | Zbl
,22. Accurate numerical methods for nonlinear boundary value problems, pp. 152-167 of G.Birkhoff and R.S.Varga (eds.), Numerical Solution of Field Problems in Continuum Physics. American Mathematical Society, Providence, Rhode Island, 1970. | MR | Zbl
,23. Some aspects of the Mathematics of finite elements in J.R. Whiteman (ed.), The Mathematics of Finite Elements and Applications II, MAFELAP 1975. Academic Press, London, to appear in 1976. | MR | Zbl
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