Zobrazeno 1 - 10
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pro vyhledávání: '"Bołbotowski, Karol"'
Autor:
Bołbotowski, Karol, Bouchitté, Guy
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-Lipschitz functions. This result has been widely used in various research area
Externí odkaz:
http://arxiv.org/abs/2412.00516
Autor:
Bołbotowski, Karol
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 described by a positive Radon measure. The deformation of the membrane it
Externí odkaz:
http://arxiv.org/abs/2308.00811
Autor:
Bołbotowski, Karol
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 vertically tracking load to the supporting boundary. Through a duality sc
Externí odkaz:
http://arxiv.org/abs/2104.07148
Autor:
Bołbotowski, Karol, Bouchitté, Guy
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 metric cost was naturally involved. In this paper we present different
Externí odkaz:
http://arxiv.org/abs/2104.04894
Autor:
Bołbotowski, Karol, Lewiński, Tomasz
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 role of the design variable in the form of a tensor valued measure $\la
Externí odkaz:
http://arxiv.org/abs/2004.11084
Autor:
Bołbotowski, Karol
For one-dimensional interval and integrable weight function $w$ we define via completion a weighted Sobolev space $H^{m,p}_{\mu_w}$ of arbitrary integer order $m$. The weights in consideration may suffer strong degeneration so that, in general, funct
Externí odkaz:
http://arxiv.org/abs/1905.13482
Akademický článek
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Autor:
Bołbotowski, Karol
Publikováno v:
In Computers and Mathematics with Applications 1 March 2022 109:280-324
Autor:
Bołbotowski, Karol
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 August 2020 488(1)
Autor:
Bołbotowski, Karol1 (AUTHOR), Bouchitté, Guy2 (AUTHOR) bouchitte@univ-tln.fr
Publikováno v:
Archive for Rational Mechanics & Analysis. Mar2022, Vol. 243 Issue 3, p1449-1524. 76p.