Finite Element Approximation of Nonlinear Variational Inequalities Arising in Porous Media

  • Muhammad Aslam Noor
Conference paper


In this paper, we are concerned with the approximate solution by the finite element technique of a fairly large class of nonlinear variational inequalities encountered in the study of a model of groudwater flow in a partially saturated porous media. Using the smooth perturbation (regularization) of variational inequalities and piece-wise linear conforming elements, we show that the error for the approximate solution of nonlinear variational inequalities is of order h in the energy norm. In fact, our estimates improve all of the previous known results for elliptic variational inequalities. We also discuss special cases, which can be obtained from our general result.


Variational Inequality Frictional Force Finite Element Approximation Finite Element Technique Elliptic Variational Inequality 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Muhammad Aslam Noor
    • 1
  1. 1.Mathematics Department, College of ScienceKing Saud UniversityRiyadhSaudi Arabia

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