Numerical Gradients for Shape Optimization Based on Embedding Domain Techniques

  • Authors:

  • K. Kunisch;G. Peichl

  • Affiliations:

  • Institut für Mathematik, Karl-Franzens-Universität Graz, Heinrichstrasse 36, A-8010 Graz, Austria;Institut für Mathematik, Karl-Franzens-Universität Graz, Heinrichstrasse 36, A-8010 Graz, Austria

  • Venue:
  • Computational Optimization and Applications
  • Year:
  • 2001

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Abstract

An embedding domain technique is proposed to characterize the gradient of shape optimization problems. A discussion of the numerical realization of the arising saddle point problems is given and numerical feasibility of the gradient information is discussed.