Anisotropic free-discontinuity functionals as the Γ-limit of second-order elliptic functionals

DOI10.1051/cocv/2017027zbMath1412.49032OpenAlexW2598510391MaRDI QIDQ4646824

Annika Bach

Publication date: 21 December 2018

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2017027

zbMATH Keywords

Finsler metrics\(\varGamma\)-convergenceAmbrosio-Tortorelli approximationanisotropic free-discontinuity functionals

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (2)

\(\Gamma\)-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals ⋮ \(\Gamma\)-convergence for high order phase field fracture: continuum and isogeometric formulations

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