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publications
Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited
Published in Structural and Multidisciplinary Optimisation, 2013
Recommended citation: Lewiński, T., Rozvany, G.I.N., Sokół, T., Bołbotowski, K.: Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited. *Struct. Multidisc. Optim.*, 47:937–942, 2018.
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Design of optimum grillages using layout optimization
Published in Structural and Multidisciplinary Optimisation, 2018
Recommended citation: Bolbotowski, K., He, L., Gilbert, M.: Design of optimum grillages using layout optimization. *Struct. Multidisc. Optim.*, 58:851–868, 2018.
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Michell Structures within L-shaped domains
Published in Computer Assisted Methods in Engineering and Science, 2020
Recommended citation: Bołbotowski, K., Lewiński, T., Sokół T.: Michell Structures within L-shaped domains. *Computer Assisted Methods in Engineering and Science*, 27:185–204, 2020.
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Higher order weighted Sobolev spaces on the real line for strongly degenerate weights. Application to variational problems in elasticity of beams
Published in Journal of Mathematical Analysis and Applications, 2020
Recommended citation: Bołbotowski, K.: Higher order weighted Sobolev spaces on the real line for strongly degenerate weights. Application to variational problems in elasticity of beams. *J. Math. Anal. Appl.*, 488 Article no. 124038, 2020.
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Optimal design versus maximal Monge-Kantorovich metrics
Published in Archive for Rational Mechanics and Analysis, 2022
Recommended citation: Bołbotowski, K., Bouchitté, G.: Optimal design versus maximal Monge-Kantorovich metrics. *Arch. Ration. Mech. Anal.*, 243:1449–1524, 2022.
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Optimal vault problem – form finding through 2D convex program
Published in Computers and Mathematics with Applications, 2022
Recommended citation: Bołbotowski, K.: Optimal vault problem – form finding through 2D convex program. *Comput. Math. Appl.*, 109:280–324, 2022.
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Setting the Free Material Design problem through the methods of optimal mass distribution
Published in Calculus of Variations and Partial Differential Equations, 2022
Recommended citation: Bołbotowski, K., Lewiński, T.: Setting the Free Material Design problem through the methods of optimal mass distribution. *Calc. Var. Partial Differ. Equ.*, 61 Article no. 76, 2022.
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Elastic bodies and structures of the optimum form, material distribution and anisotropy
Published in Warsaw University of Technology & University of Warsaw, 2022
Recommended citation: Bołbotowski, K.: *Elastic bodies and structures of the optimum form, material distribution and anisotropy.* PhD Thesis, Warsaw University of Technology & University of Warsaw, 2022.
Optimal design of plane elastic membranes using the convexified Föppl’s model
Published in Applied Mathematics and Optimization, 2024
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Recommended citation: Bołbotowski, K.: Optimal design of plane elastic membranes using the convexified Föppl's model. *Appl. Math. Optim.*, 90 Article no. 23, 2024.
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Kantorovich-Rubinstein duality theory for the Hessian.
Published in Duke Mathematical Journal, 2024
Recommended citation: Bołbotowski, K., Bouchitté, G.: Kantorovich-Rubinstein duality theory for the Hessian. Preprint arXiv:2412.00516, 2024. (to appear in *Duke Math. J.*)
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The Isotropic Material Design methods with the cost expressed by the Lp-norm
Published in Computers and Mathematics with Applications, 2025
Minimum material vault designs generated via adaptive layout optimization
Published in Engineering Structures, 2025
Recommended citation: He, L., Fairclough, H., Gilbert, M., Liew, A., Bołbotowski, K.: Minimum material vault designs generated via adaptive layout optimization. *Eng. Struct.*, 334 Article no, 120213, 2025.
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Topology and geometry optimization of grid-shells incorporating design-dependent self-weight loading
Published in Computers and Structures, 2025
Recommended citation: Fairclough, H., Bołbotowski, K., He, L., Liew, A., Gilbert, M.: Topology and geometry optimization of grid-shells incorporating design-dependent self-weight loading. *Comput. Struct.*, 320 Article no. 107997, 2026.
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Sharp inequalities between Zolotarev and Wasserstein distances in P2(Rd).
Published in arXiv, 2025
Bi-martingale optimal transport and its applications
Published in arXiv , 2025
Recommended citation: Bołbotowski, K.: Bi-martingale optimal transport and its applications. Preprint arXiv:2510.27451, 2025.
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talks
Talk 1 on Relevant Topic in Your Field
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
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Teaching experience 2
Workshop, University 1, Department, 2015
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