An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture.

The energy of the Francfort-Marigo model of brittle fracture can be approximated, in the sense of Γ-convergence, by the Ambrosio-Tortorelli functional. In this work, we formulate and analyze two adaptive finite element algorithms for the computation of its (local) minimizers. For each algorithm, we...

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Bibliographic Details
Main Authors: Burke, S, Ortner, C, Süli, E
Format: Journal article
Language:English
Published: 2010