Finite Difference Scheme for Variational Inequalities

Journal of Optimization Theory and Applications

Volumn 89, Issue 2, 1996, Pages 453-459

  Al Said, E A ^a   Noor, M A ^a   Khalifa, A K ^b  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

^b AL AZHAR UNIVERSITY   (Egypt)

Author keywords

Finite difference method; Obstacle problem; Variational inequalities

Indexed keywords

DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

FINITE DIFFERENCE SCHEME; FINITE-DIFFERENCE METHODS; OBSTACLE PROBLEMS; SYSTEM OF DIFFERENTIAL EQUATIONS; VARIATIONAL INEQUALITIES;

FINITE DIFFERENCE METHOD;

EID: 0000286005     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02192538     Document Type: Article

References (15)

1. STAMPACCHIA, G., Formes Bilineaires Coercitives sur les Ensembles Convexes, Comptes Rendus de l'Academie des Sciences, Paris, Vol. 258, pp. 4413-4416, 1964.
2. NOOR, M. A., NOOR, K. I., and RASSIAS, T. M., Some Aspects of Variational Inequalities, Journal of Computational and Applied Mathematics, Vol. 47, pp. 285-312, 1993.
3. KINDERLEHRER, D., and STAMPACCHIA, G., An Introduction to Variational Inequalities and Their Applications, Academic Press, New York, New York, 1980.
4. COTTLE, R. W., GIANNESSI, F., and LIONS, J. L., Variational Inequalities and Complementarity Problems, J. Wiley and Sons, New York, New York, 1980.
5. GLOWINSKI, R., LIONS, J. L., and TREMOLIERES, R., Numerical Analysis of Variational Inequalities, North Holland, Amsterdam, Holland, 1981.
6. AL-GWAIZ, M. A., Theory of Distributions, Marcel Dekker, New York, New York, 1992.
7. KIKUCHI, N., and ODEN, J. T., Contact Problems in Elasticity, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania, 1988.
8. NOOR, M. A., Wiener-Hopf Equations and Variational Inequalities, Journal of Optimization Theory and Applications, Vol. 79, pp. 197-206, 1994.
9. NOOR, M. A., Variational Inequalities in Physical Oceanography, Ocean Waves Engineering, Edited by M. Rahman, Computational Mechanics Publications, Southampton, England, pp. 201-226, 1994.
10. LEWY, H., and STAMPACCHIA, G., On the Regularity of the Solutions of the Variational Inequalities, Communication on Pure and Applied Mathematics, Vol. 22, pp. 153-188, 1969.
11. NOOR, M. A., and KHALIFA, A. K., Quintic Splines for Solving Contact Problems, Applied Mathematics Letters, Vol. 3, pp. 81-83, 1990.
12. NOOR, M. A., and KHALIFA, A. K., Cubic Splines Collocation Methods for Unilateral Problems, International Journal of Engineering Science, Vol. 25, pp. 1525-1530, 1987.
13. NOOR, M. A., and KHALIFA, A. K., A Numerical Approach for Odd Order Obstacle Problems, International Journal of Computer Mathematics, Vol. 54, pp. 109-116, 1994.
14. DUNBAR, S. R., Geometric Analysis of Nonlinear Boundary-Value Problems from Physical Oceanography, SIAM Journal on Mathematical Analysis, Vol. 24, pp. 444-465, 1993.
15. NOOR, M. A., General Variational Inequalities, Applied Mathematics Letters, Vol. 1, pp. 119-122, 1988.