ON THE VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE

By Matteo Focardi. 2001

70 citations recorded by the source corpus.

Subfields: Computational Mechanics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5eda2995dd95e672d88b39af8f92716455f7c5a4

How researchers see this paper

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In Computational Mechanics

1. Flaviana Iurlano
2. Sergio Conti
3. Alessandro Giacomini

In Geometry and Topology

1. Flaviana Iurlano
2. Sergio Conti
3. Alessandro Giacomini

In Numerical Analysis

1. Flaviana Iurlano
2. Sergio Conti
3. Alessandro Giacomini

Citations in the corpus

• An adaptive finite element approximation of a generalized Ambrosio-Tortorelli functional (2013, unknown): “This leads to a bound-constrained minimization problem, which can be posed in terms of a variational inequality.”
• Phase field approximation of cohesive fracture models (2014, methodology): “Therefore the conclusion follows by the Ambrosio and Tortorelli result [8] (see also [28]).”
• Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures (2003, background): “Their result has been extended in the vectorial case in [14], where non-isotropic surface energies are also considered.”