33 citations · 40 across the 6 of their papers we have counts for
6 papers
Visualizing Shape Functionals via Sinkhorn Multidimensional Scaling
Toshiaki Yachimura, Jun Okamoto, Lorenzo Cavallina
In this paper, we present Sinkhorn multidimensional scaling (Sinkhorn MDS) as a method for visualizing shape functionals in shape spaces. This approach uses the Sinkhorn divergence…
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem
Lorenzo Cavallina, Giorgio Poggesi, Toshiaki Yachimura
In this paper, we deal with an overdetermined problem of Serrin-type with respect to a two-phase elliptic operator in divergence form with piecewise constant coefficients. In parti…
Symmetry breaking solutions for a two-phase overdetermined problem of Serrin-type
Lorenzo Cavallina, Toshiaki Yachimura
In this paper, we consider an overdetermined problem of Serrin-type for a two-phase elliptic operator with piecewise constant coefficients. We show the existence of infinitely many…
The homogenization method for topology optimization of structures: old and new
Grégoire Allaire, Lorenzo Cavallina, Nobuhito Miyake +2
These are the lecture notes of a short course on the homogenization method for topology optimization of structures, given by Grégoire Allaire, during the "GSIS International Summer…
On a two-phase Serrin-type problem and its numerical computation
Lorenzo Cavallina, Toshiaki Yachimura
We consider an overdetermined problem of Serrin-type with respect to an operator in divergence form with piecewise constant coefficients. We give sufficient condition for unique so…
Asymptotic behavior for the principal eigenvalue of a reinforcement problem
Toshiaki Yachimura
In this paper, we consider the asymptotic behavior for the principal eigenvalue of an elliptic operator with piecewise constant coefficients. This problem was first studied by Frie…