@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},
year = {1976},
publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
number = {S5},
language = {en},
url = {https://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 - https://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 https://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, Journées « éléments finis », no. S5 (1976), article no. 14, 12 p.. https://www.numdam.org/item/PSMIR_1976___S5_A14_0/
1. , and , Sur la regularité de la solution d'inequations elliptiques. Bull. Soc. Math.France 96, 153-180, 1968. | Zbl | MR | Numdam
2. , and , General Lagrange and Hermite interpolation in R n with application to finite element methods. Arch. Rat. Mech. Anal. 46, 177-199, 1972. | Zbl | MR
3. , , and , Numerical methods of high-order accuracy for nonlinear boundary value problems, I. One dimensional problems. Numer. Math. 9, 394-430, 1967. | Zbl | MR
4. , and , Error bounds for the Galerkin method applied to singular and nonsingular boundary value problems. Numer. Math. 19, 266-282, 1972. | Zbl | MR
5. , Error estimates for the approximation of a class of variational inequalities. Math. Comp. 28, 963-971, 1974. | Zbl | MR
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. , and , Variational inequalities. Comm. Pure. Appl. Math. 20, 493-519, 1967. | Zbl | MR
8. , An introduction to the approximate solution of variational inequalities. In Constructive Aspects of Functional Analysis, Edizione Cremonese, Roma, 499-685, 1973. | Zbl
9. , and , One sided approximation and variational inequalities. Bull. Amer. Math. Soc., 80, 308-312, 1974. | Zbl | MR
10. , Über die punktweise Konvergenz Finiter Elemente. Numer. Math. 25, 6-77, 1975. | Zbl | MR
11. , Optimal L2-Konvergenz Finiter Elemente bei Variationsungleichungen. I.S.N.M., Birkhäuser Verlag, Basel, (to appear). | Zbl | MR
12. , Lineare Spline-Funktionen und die Methoden von Ritz fur elliptische Randwertprobleme. Arch. rat. Mech. Anal. 36, 348-355, 1970. | Zbl | MR
13. , -convergence of finite element approximation. Journées Elements Finis, Rennes, May 1975. | Zbl | MR
14. , -convergence of finite element approximations. Mathematical Aspect of the Finite Element Method. Rome, December 1975. | Zbl | MR
15. , and , Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems, (to appear in Numerische Mathematik, 1976). | Zbl | MR
16. , and , Error analysis of nonlinear variational inequalities, (to appear). | Zbl
17. , Optimal estimates for the finite element method on irregular meshes (to appear). | Zbl | MR
18. , Approximation of nonlinear inequalities on Banach spaces, pp. 243-260 of A. Talbot (ed.) Approximation Theory. Academic Press, London, 243-260, 1970. | Zbl | MR
19. , Formes bilinéares coercitive sur les ensembles convexes, C.R.. Acad. Ac., Paris, 258, 4413-4416, 1964. | Zbl | MR
20. , The finite element method - linear and nonlinear applications. International Congress of Mathematics, Vancouver. August, 1974. | Zbl | MR
21. , Numerical Analysis. Reidel Publishing Co., Dordrecht, 1973. | Zbl | MR
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. | Zbl | MR
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. | Zbl | MR





