On the mathematical theory of penalty-finite elements for Navier-Stokes equations. Academic Article uri icon


  • A penalty function formulation based on the incompressibility constraint is presented for stationary Navier-Stokes equations. Existence of solutions to the penalty formulation and to the associated approximate problem is presented. Uniqueness of solutions can be established only for low Reynolds number flows. (A)

author list (cited authors)

  • Reddy, J. N.

publication date

  • January 1980