Publications

Karol Bołbotowski

Number of publications: 25

2025

• Karol Bołbotowski , Guy Bouchitté, Kantorovich-Rubinstein duality theory for the Hessian, arXiv, 2025, p. 1-47. See in PBN
• Karol Bołbotowski , Linwei Lyu, Helen E. Fairclough, Matthew Gilbert, Andrew Liew, Minimum material vault designs generated via adaptive layout optimization, Engineering Structures, 334 2025, p. 120213. See in PBN
• Karol Bołbotowski , Sławomir Czarnecki, Tomasz Lewiński, The Isotropic Material Design methods with the cost expressed by the LP -norm, arXiv, 2025, p. 1-46. See in PBN
• Karol Bołbotowski , Helen E. Fairclough, Linwei He, Andrew Liew, Gilbert Matthew, Topology and geometry optimization of grid-shells under self-weight loading, arXiv, 2025, p. 1-25. See in PBN

2024

• Karol Bołbotowski , Optimal Design of Plane Elastic Membranes Using the Convexified Föppl’s Model, Applied Mathematics and Optimization, 90 2024, p. 1-55. See in PBN

2022

• Karol Bołbotowski , Guy Bouchitté, Optimal Design Versus Maximal Monge–Kantorovich Metrics, Archive for Rational Mechanics and Analysis, (243) 2022, p. 1449-1524. See in PBN
• Karol Bołbotowski , Optimal vault problem – form finding through 2D convex program, Computers and Mathematics with Applications, (109) 2022, p. 280-324. See in PBN
• Karol Bołbotowski , Tomasz Lewiński, Setting the Free Material Design problem through the methods of optimal mass distribution, Calculus of Variations and Partial Differential Equations, (61) 2022, p. 1-39. See in PBN

2021

• Karol Bołbotowski , Optimal design versus maximal Monge-Kantorovich metrics, arXiv, 2021, p. 1-54. See in PBN
• Karol Bołbotowski , Optimal vault problem - form finding through 2D convex program, arXiv, 2021, p. 1-57. See in PBN

2020

• Karol Bołbotowski , Higher order weighted Sobolev spaces on the real line for strongly degenerate weights. Application to variational problems in elasticity of beams, Journal of Mathematical Analysis and Applications, 488 2020, p. 1-58. See in PBN
• Karol Bołbotowski , Tomasz Lewiński, Tomasz Sokół, Michell Structures within L-Shaped Domains, Computer Assisted Methods in Engineering and Science (CAMES), 27 (2-3) 2020, p. 185-204. See in PBN
• Karol Bołbotowski , Tomasz Lewiński, Setting the Free Material Design problem through the methods of optimal mass distribution, arXiv, 2020, p. 1-43. See in PBN

2019

• Karol Bołbotowski , Elasticity theory of optimal structures with singularities in the material distribution, 13th World Congress on Structural and Multidisciplinary Optimization, Beijing, China, 19 May 2019 - 23 May 2019. See in PBN
• Karol Bołbotowski , Sławomir Czarnecki, Radosław Czubacki, Grzegorz Dzierżanowski, Tomasz Lewiński, Tomasz Sokół, Paweł Wawruch, Tomasz Łukasiak, Least Weight Trusses and Least Compliant Bodies.Optimal Layout Problems,Recovery of Underlying MicrostructureAnd First Steps Towards 3d Printing, Workshop on Engineering Optimization 2019, Warszawa, Poland, 3 November 2019 - 3 November 2019. See in PBN
• Karol Bołbotowski , Theory of Grillage Optimization—A Discrete Setting, 6th International Conference on Engineering Optimization - EngOpt, Lisbona, Portugal, 16 September 2018 - 18 September 2018. See in PBN

2018

• Karol Bołbotowski , ARE MICHELL STRUCTURES AND OPTIMUM GRILLAGES EQUIVALENT TO FRAMEWORKS COMPOSED OF INFINITE NUMBER OF STRAIGHT MEMBERS?, 41st Solid Mechanics Conference, Warsaw, Poland, 26 August 2018 - 30 August 2018. See in PBN
• Karol Bołbotowski , H. Linwei, G. Matthew, Design of optimum grillages using layout optimization, Structural and Multidisciplinary Optimization, 58 (3) 2018, p. 851-868. See in PBN

2017

• Karol Bołbotowski , Sławomir Czarnecki, Radosław Czubacki, Grzegorz Dzierżanowski, Tomasz Lewiński, Tomasz Sokół, Tomasz Łukasiak, Zagadnienia kształtowania konstrukcji w ujęciu współczesnej mechaniki, Inżynieria i Budownictwo, 73 (8) 2017, p. 437-441. See in PBN

2016

• Karol Bołbotowski , Tomasz Sokół, New method of generating Strut and Tie models using truss topology optimization, The 3rd Polish Congress of Mechanics (PCM) & 21st International Conference on Computer Methods in Mechanics (CMM), Gdański, Poland, 8 September 2015 - 11 September 2015. See in PBN

2013

• Karol Bołbotowski , Tomasz Lewiński, Tomasz Sokół, Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited, Structural and Multidisciplinary Optimization, 47 (6) 2013, p. 937-942. See in PBN
• Karol Bołbotowski , Michał Knauff, Tomasz Sokół, Zastosowanie optymalizacji topologicznej w projektowaniu konstrukcji zelbetowych z wykorzystaniem modeli "Strut and TIE", Budownictwo i Architektura, 12 (1) 2013, p. 91-98. See in PBN

Others

• Karol Bołbotowski , Elasticity theory of optimal structures with singularities in the material distribution, Advances in Structural and Multidisciplinary Optimization, Proceedings of the 13th World Congress of Structural and Topology Optimization (WCSMO 13), , p. 1-6. See in PBN
• Karol Bołbotowski , Theory of Grillage Optimization—A Discrete Setting, EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization, , p. 605-618. See in PBN
• Karol Bołbotowski , Grzegorz Dzierżanowski, Wybrane zagadnienia optymalizacji konstrukcji, Współczesna Mechanika Konstrukcji w Projektowaniu Inżynierskim, , p. 41-56. See in PBN