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We consider shape optimization problems subject to elliptic partial differential equations.
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M. Delfour, G. Payre and J.-P. Zolesio · 1985
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“Introduction to Shape Optimization”
J. Sokoowski and J.-P. Zol\’esio · 1992
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“Newton’s method in shape optimisation: a three-dimensional case”
A. Novruzi and J.. Roche · 2000
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“Sobolev Spaces”
R. Adams and J. Fournier · 2003
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J. Haslinger and R. M\"akinen · 2003
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“A finite element method for surface diffusion: the parametric case”
Eberhard B\"ansch, Pedro Morin and Ricardo. Nochetto · 2004
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“A quadratically convergent unstructured remeshing strategy for shape optimization”
Daniel. Wilke, Schalk Kok and Albert. Groenwold · 2005
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“Discrete gradient flows for shape optimization and applications”
G. Dogan, P. Morin, R.. Nochetto and M. Verani · 2006
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“Variational approach to shape derivatives”
Kazufumi Ito, Karl Kunisch and Gunther. Peichl · 2008
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“On the evaluation of finite element sensitivities to nodal coordinates”
Ren\’e Schneider and Peter. Jimack · 2008
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“A unified discrete-continuous sensitivity analysis method for shape optimization”
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Stephan Schmidt and Volker. Schulz · 2010
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“Computational comparison of surface metrics for PDE constrained shape optimization”
Volker. Schulz and Martin Siebenborn · 2016
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