Finite Element Methods for Mildly Nonlinear Elliptic Equations and Variational Inequalities
Publications mathématiques et informatique de Rennes (1976)
- Issue: S5, page 1-12
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topWhiteman, J. R., and Aslam Noor, M.. "Finite Element Methods for Mildly Nonlinear Elliptic Equations and Variational Inequalities." Publications mathématiques et informatique de Rennes (1976): 1-12. <http://eudml.org/doc/274497>.
@article{Whiteman1976,
author = {Whiteman, J. R., Aslam Noor, M.},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {S5},
pages = {1-12},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Finite Element Methods for Mildly Nonlinear Elliptic Equations and Variational Inequalities},
url = {http://eudml.org/doc/274497},
year = {1976},
}
TY - JOUR
AU - Whiteman, J. R.
AU - Aslam Noor, M.
TI - Finite Element Methods for Mildly Nonlinear Elliptic Equations and Variational Inequalities
JO - Publications mathématiques et informatique de Rennes
PY - 1976
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S5
SP - 1
EP - 12
LA - eng
UR - http://eudml.org/doc/274497
ER -
References
top- 1. Brezis H., and Stampacchia G., Sur la regularité de la solution d'inequations elliptiques. Bull. Soc. Math.France96, 153-180, 1968. Zbl0165.45601MR239302
- 2. Ciarlet, P.G., and Raviart, P.A., General Lagrange and Hermite interpolation in R n with application to finite element methods. Arch. Rat. Mech. Anal.46, 177-199, 1972. Zbl0243.41004MR336957
- 3. Ciarlet, P.G., Schultz, M.H., and Varga, R.S., Numerical methods of high-order accuracy for nonlinear boundary value problems, I. One dimensional problems. Numer. Math.9, 394-430, 1967. Zbl0155.20403MR221761
- 4. Dailey, J.W., and Pierce, J.G., Error bounds for the Galerkin method applied to singular and nonsingular boundary value problems. Numer. Math.19, 266-282, 1972. Zbl0244.65075MR301954
- 5. Falk, R.S., Error estimates for the approximation of a class of variational inequalities. Math. Comp.28, 963-971, 1974. Zbl0297.65061MR391502
- 6. Fremond, M., Dual formulations for potential and complementary energies. Unilateral boundary conditions. Application to the finite element method, pp. 175-188 of J.R. Whiteman (ed.), The Mathematics of Finite Elements and Applications. Academic Press, London, 1973. Zbl0297.73062
- 7. Lions, J.L., and Stampacchia, G., Variational inequalities. Comm. Pure. Appl. Math.20, 493-519, 1967. Zbl0152.34601MR216344
- 8. Mosco, U., An introduction to the approximate solution of variational inequalities. In Constructive Aspects of Functional Analysis, Edizione Cremonese, Roma, 499-685, 1973. Zbl0266.49005
- 9. Mosco, U., and Strang, G., One sided approximation and variational inequalities. Bull. Amer. Math. Soc., 80, 308-312, 1974. Zbl0278.35026MR331818
- 10. Natterer, F., Über die punktweise Konvergenz Finiter Elemente. Numer. Math.25, 6-77, 1975. Zbl0331.65073MR474884
- 11. Natterer, F., Optimal L2-Konvergenz Finiter Elemente bei Variationsungleichungen. I.S.N.M., Birkhäuser Verlag, Basel, (to appear). Zbl0358.65085MR451788
- 12. Nitsche, J., Lineare Spline-Funktionen und die Methoden von Ritz fur elliptische Randwertprobleme. Arch. rat. Mech. Anal.36, 348-355, 1970. Zbl0192.44503MR255043
- 13. Nitsche, J., -convergence of finite element approximation. Journées Elements Finis, Rennes, May 1975. Zbl0362.65088MR568857
- 14. Nitsche, J., -convergence of finite element approximations. Mathematical Aspect of the Finite Element Method. Rome, December 1975. Zbl0362.65088MR568857
- 15. Noor, M.A., and Whiteman, J.R., Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems, (to appear in Numerische Mathematik, 1976). Zbl0312.65079MR438742
- 16. Noor, M.A., and Whiteman, J.R., Error analysis of nonlinear variational inequalities, (to appear). Zbl0521.65047
- 17. Scott, R., Optimal estimates for the finite element method on irregular meshes (to appear). Zbl0349.65060MR436617
- 18. Sibony, M., Approximation of nonlinear inequalities on Banach spaces, pp. 243-260 of A. Talbot (ed.) Approximation Theory. Academic Press, London, 243-260, 1970. Zbl0214.12501MR267334
- 19. Stampacchia, G., Formes bilinéares coercitive sur les ensembles convexes, C.R.. Acad. Ac., Paris, 258, 4413-4416, 1964. Zbl0124.06401MR166591
- 20. Strang, G., The finite element method - linear and nonlinear applications. International Congress of Mathematics, Vancouver. August, 1974. Zbl0334.65087MR423842
- 21. Temam, R., Numerical Analysis. Reidel Publishing Co., Dordrecht, 1973. Zbl0261.65001MR347099
- 22. Varga, R.S., 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. Zbl0221.65130MR267748
- 23. Whiteman, J.R., 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. Zbl0351.65027MR455488
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