On penalty function methods in the finiteelement analysis of flow problems Academic Article uri icon


  • In this paper the penalty function method is reviewed in the general context of solving constrained minimization problems. Mathematical properties, such as the existence of a solution to the penalty problem and convergence of the solution of a penalty problem to the solution of the original problem, are studied for the general case. Then the results are extended to a penalty function formulation of the Stokes and NavierStokes equations. Conditions for the equivalence of two penaltyfinite element models of fluid flow are established, and the theoretical error estimates are verified in the case of Stokes's problem. Copyright 1982 John Wiley & Sons, Ltd

published proceedings

  • International Journal for Numerical Methods in Fluids

author list (cited authors)

  • Reddy, J. N.

citation count

  • 118

complete list of authors

  • Reddy, JN

publication date

  • April 1982