8 citations · 10 across the 6 of their papers we have counts for
9 papers
Sharp inequalities between Zolotarev and Wasserstein distances in
Karol Bołbotowski, Guy Bouchitté
Based on a new Kantorovich-Rubinstein duality principle for the Hessian that was recently established by the two authors, we extend the Rio inequality to any dimension wi…
Bi-martingale optimal transport and its applications
Karol Bołbotowski
We introduce a new non-linear optimal transport formulation for a pair of probability measures on sharing a common barycentre, in which admissible transference plans…
Topology and geometry optimization of grid-shells under self-weight loading
Helen E. Fairclough, Karol Bolbotowski, Linwei He +2
This manuscript presents an approach for simultaneously optimizing the connectivity and elevation of grid-shell structures acting in pure compression (or pure tension) under the co…
The Isotropic Material Design methods with the cost expressed by the -norm
Karol Bołbotowski, Sławomir Czarnecki, Tomasz Lewiński
The paper concerns the problem of minimization of the compliance of linear elastic structures made of an isotropic material. The bulk and shear moduli are the design variables, bot…
Kantorovich-Rubinstein duality theory for the Hessian
Karol Bołbotowski, Guy Bouchitté
The classical Kantorovich-Rubinstein duality theorem establishes a significant connection between Monge optimal transport and maximization of a linear form on the set of 1-Lipschit…
Optimal design of plane elastic membranes using the convexified Föppl's model
Karol Bołbotowski
This work puts forth a new optimal design formulation for planar elastic membranes. The goal is to minimize the membrane's compliance through choosing the material distribution des…
Optimal vault problem -- form finding through 2D convex program
Karol Bołbotowski
This work puts forward a form finding problem of designing a least-volume vault that is a surface structure spanning over a plane region, which via pure compression transfers a ver…
Optimal design versus maximal Monge-Kantorovich metrics
Karol Bołbotowski, Guy Bouchitté
A remarkable connection between optimal design and Monge transport was initiated in the years 1997 in the context of the minimal elastic compliance problem and where the euclidean…
Setting the Free Material Design problem through the methods of optimal mass distribution
Karol Bołbotowski, Tomasz Lewiński
The paper deals with the Free Material Design (FMD) problem aimed at constructing the least compliant structures from an elastic material the constitutive field of which play the r…