Variational approximation of functionals defined on \(1\)-dimensional connected sets in \(\mathbb{R}^n\)

DOI10.1515/acv-2019-0031zbMath1476.49017arXiv1904.09328OpenAlexW3008132369MaRDI QIDQ2240123

Giandomenico Orlandi, Edouard Oudet, Mauro Bonafini

Publication date: 5 November 2021

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09328

zbMATH Keywords

calculus of variationsgamma-convergenceconvex relaxationgeometric measure theoryGilbert-Steiner problemZitat: 1404.49006

Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Discrete approximations in optimal control (49M25) Numerical methods of relaxation type (49M20)

Related Items (3)

Existence and uniqueness of the motion by curvature of regular networks ⋮ Minimizing properties of networks via global and local calibrations ⋮ Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks

Cites Work

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• Numerical approximation of the Steiner problem in dimension $2$ and $3$
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• Variational convergence for functionals of Ginzburg-Landau type

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