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R. Glowinski, Y.A. Kuznetsov, T-W. Pan, A penalty/Newton/conjugate gradient method for the solution of obstacle problems, C. R. Acad. Sci. Paris, Ser, Vol. 1336, 2003, pp. 435-440.

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.