A note on the penalty correction method

  • Wolfgang Hackbusch

    Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany


The penalty correction method of J. Pasciak reduces the solution of an inhomogeneous Dirichlet boundary value problem to a sequence of finite element problems with natural boundary conditions. We show that the penalty correction method is a special case of the iterated defect correction. Error estimates are proved under weaker assumptions.

Cite this article

Wolfgang Hackbusch, A note on the penalty correction method. Z. Anal. Anwend. 1 (1982), no. 2, pp. 59–69

DOI 10.4171/ZAA/14