A Cubic Spline Method for Solving a Unilateral Obstacle Problem

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DOI: 10.4236/ajcm.2012.23028    2,403 Downloads   4,774 Views   Citations


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.

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E. Mermri, A. Serghini, A. El hajaji and K. Hilal, "A Cubic Spline Method for Solving a Unilateral Obstacle Problem," American Journal of Computational Mathematics, Vol. 2 No. 3, 2012, pp. 217-222. doi: 10.4236/ajcm.2012.23028.


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