Setting the free material design problem through the methods of optimal mass distribution

DOI10.1007/s00526-022-02186-8OpenAlexW3017543694WikidataQ114017984 ScholiaQ114017984MaRDI QIDQ2113331

Karol Bołbotowski, Tomasz Lewiński

Publication date: 14 March 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11084

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Compliance or weight optimization in solid mechanics (74P05) Elastic materials (74B99) Miscellaneous topics in calculus of variations and optimal control (49N99)

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Optimal vault problem -- form finding through 2D convex program ⋮ Mass Optimization Problem with Convex Cost ⋮ A note on BV and 1-Sobolev functions on the weighted Euclidean space ⋮ The free material design problem for the stationary heat equation on low dimensional structure

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