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A list of all the posts and pages found on the site. For you robots out there, there is an XML version available for digesting as well.

Posts

Future Blog Post

less than 1 minute read

Published: January 01, 2199

This post will show up by default. To disable scheduling of future posts, edit config.yml and set future: false.

Blog Post number 4

less than 1 minute read

Published: August 14, 2015

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 3

less than 1 minute read

Published: August 14, 2014

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 2

less than 1 minute read

Published: August 14, 2013

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 1

less than 1 minute read

Published: August 14, 2012

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

portfolio

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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

Use Google Scholar for full citation

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

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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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