• Corpus ID: 231979193

Shape optimization of light structures and the vanishing mass conjecture

  title={Shape optimization of light structures and the vanishing mass conjecture},
  author={Jean-François Babadjian and Flaviana Iurlano and Filip Rindler},
This work proves rigorous results about the vanishing-mass limit of the classical problem to find a shape with minimal elastic compliance. Contrary to all previous results in the mathematical literature, which utilize a soft mass constraint by introducing a Lagrange multiplier, we here consider the hard mass constraint. Our results are the first to establish the convergence of approximately optimal shapes of (exact) size ε ↓ 0 to a limit generalized shape represented by a (possibly diffuse… 
Nonlocal basis pursuit: Nonlocal optimal design of conductive domains in the vanishing material limit
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Optimization of light structures: the vanishing mass conjecture
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