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<div class="csl-entry">Kubin, A., Almi, S., Davoli, E., & Tasso, E. (2024, July 15). <i>Finite-difference approximation of Griffith energy</i> [Conference Presentation]. 9th European Congress of Mathematics, Sevilla, Spain. http://hdl.handle.net/20.500.12708/199770</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/199770
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dc.description.abstract
In this talk we analyse the Γ-convergence of a family of nonlocal functionals defined on finite-differences to a local functional F(u) that depends on the symmetric gradient of u and on the jump set of u. This is a generalisation to the Griffith functional of a classical result for the Mumford-Shah of Gobbino. The key step is the compactness in GSBD of sequences with uniformly bounded energy without any additional L∞-bound. This is a work in collaboration with S. Almi, E. Davoli and E. Tasso.
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dc.language.iso
en
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dc.subject
Griffith energy
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dc.subject
Finite-difference
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dc.subject
Free-discontinuity problems
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dc.title
Finite-difference approximation of Griffith energy