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Numerical Gradients for Shape Optimization Based on Embedding Domain Techniques

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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.

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Authors and Affiliations

  1. Institut für Mathematik, Karl-Franzens-Universität Graz, Heinrichstrasse 36, A-8010, Graz, Austria

    K. Kunisch & G. Peichl

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  1. K. Kunisch
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  2. G. Peichl
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Kunisch, K., Peichl, G. Numerical Gradients for Shape Optimization Based on Embedding Domain Techniques. Computational Optimization and Applications 18, 95–114 (2001). https://doi.org/10.1023/A:1008779803348

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  • DOI: https://doi.org/10.1023/A:1008779803348

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