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H. Lewy, G. Stampacchia, On the regularity of the solution of the variational inequalities, Communications in Pure and Applied Mathematics, Vol. 22, 1969, pp. 153-188. doi:10.1002/cpa.3160220203

has been cited by the following article:

• TITLE: A Cubic Spline Method for Solving a Unilateral Obstacle Problem

  AUTHORS: El Bekkey Mermri, Abdelhafid Serghini, Abdelmajid El hajaji, Khalid Hilal

  KEYWORDS: Obstacle Problem; Spline Collocation; Nonsmooth Equation; Generalized Newton Method

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.3, September 28, 2012

  ABSTRACT: This paper, we develop a numerical method for solving a unilateral obstacle problem by using the cubic spline collocation method and the generalized Newton method. This method converges quadratically if a relation-ship between the penalty parameter and the discretization parameter h is satisfied. An error estimate between the penalty solution and the discret penalty solution is provided. To validate the theoretical results, some numerical tests on one dimensional obstacle problem are presented.