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Function space interior point methods for PDE constrained optimization

  1. Martin Weiser*,
  2. Anton Schiela

Article first published online: 5 NOV 2004

DOI: 10.1002/pamm.200410011

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 43–46, December 2004

Additional Information

How to Cite

Weiser, M. and Schiela, A. (2004), Function space interior point methods for PDE constrained optimization. Proc. Appl. Math. Mech., 4: 43–46. doi: 10.1002/pamm.200410011

Author Information

  1. Zuse Institute Berlin, Takustr. 7, 14195 Berlin, Germany

*Phone: +49 30 84185 170, Fax: +49 30 84185 107

Publication History

  1. Issue published online: 5 NOV 2004
  2. Article first published online: 5 NOV 2004

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Keywords:

  • interior point methods in function space;
  • optimal control;
  • complementarity functions

Abstract

A primal-dual interior point method for optimal control problems with PDE constraints is considered. The algorithm is directly applied to the infinite dimensional problem. Existence and convergence of the central path are analyzed. Numerical results from an inexact continuation method applied to a model problem are shown. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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