5 citations · 9 across the 5 of their papers we have counts for
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math.AP2003
A discontinuous finite element approximation of quasi-static growth of brittle fractures
A. Giacomini, M. Ponsiglione
We propose a discontinuous finite element approximation for a model of quasi-static growth of brittle fractures in linearly elastic bodies formulated by Francfort and Marigo, and b…
math.AP2003
Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures
Alessandro Giacomini
We define a notion of quasi-static evolution for the elliptic approximation of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we prove that this regular evol…
math.AP2003★ 5 cited
Multi-peak solutions for a class of degenerate elliptic equations
Alessandro Giacomini, Marco Squassina
By means of a penalization argument due to del Pino and Felmer, we prove the existence of multi-spike solutions for a class of quasilinear elliptic equations under natural growth c…