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Zeitschrift für Analysis und ihre Anwendungen

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Volume 1, Issue 2, 1982, pp. 59–69
DOI: 10.4171/ZAA/14

Published online: 1982-04-30

A note on the penalty correction method

Wolfgang Hackbusch[1]

(1) 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.

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Hackbusch Wolfgang: A note on the penalty correction method. Z. Anal. Anwend. 1 (1982), 59-69. doi: 10.4171/ZAA/14