# Shape optimization of light structures and the vanishing mass conjecture

@inproceedings{Babadjian2021ShapeOO, title={Shape optimization of light structures and the vanishing mass conjecture}, author={Jean-François Babadjian and Flaviana Iurlano and Filip Rindler}, year={2021} }

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…

## One Citation

Nonlocal basis pursuit: Nonlocal optimal design of conductive domains in the vanishing material limit

- Mathematics
- 2021

We consider the problem of optimal distribution of a limited amount of conductive material in systems governed by local and non-local scalar diffusion laws. Of particular interest for these problems…

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