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Numerical solution of the obstacle problem by the penalty method

Numerische Lösung des Hindernis-Problems mit der Penalty-Methode

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Abstract

The penalty method is used to compute approximations of the solution of the obstacle problem. By coupling the penalty parameter ε and the discretization parameterh quasi-optimal error estimates in the energy-norm are derived.

Zusammenfassung

Die Penalty-Methode wird benutzt, um Approximationen für die Lösung des Hindernis-Problems zu berechnen. Durch Kopplung des Penalty-Parameters ε und des Diskretisierungs-Parametersh werden quasi-optimale Fehlerabschätzungen in der Energie-Norm hergeleitet.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Albert-Ludwig-Universität, Hermann-Herder-Strasse 10, D-7800, Freiburg i. Breisgau, Federal Republic of Germany

    R. Scholz

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  1. R. Scholz
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Dedicated to Professor Dr. K. Nickel on the occasion of his 60th birthday.

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Scholz, R. Numerical solution of the obstacle problem by the penalty method. Computing 32, 297–306 (1984). https://doi.org/10.1007/BF02243774

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  • DOI: https://doi.org/10.1007/BF02243774

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