Reconstruction of cracks and material losses by perimeter-like penalizations and phase-field methods: numerical results
Articolo
Data di Pubblicazione:
2011
Citazione:
Reconstruction of cracks and material losses by perimeter-like penalizations and phase-field methods: numerical results / W. Ring, L. Rondi. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - 13:3(2011), pp. 353-371.
Abstract:
We numerically implement the variational approach for reconstruction in the inverse crack and cavity problems developed by one of the authors. The method is based on a suitably adapted free-discontinuity problem. Its main features are the use of phase- field functions to describe the defects to be reconstructed and the use of perimeter-like penalizations to regularize the ill-posed problem.
The numerical implementation is based on the solution of the corresponding optimality system by a gradient method. Numerical simulations are presented to show the validity of the method.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
inverse problems; cracks; cavities; phase-field; perimeter penalization; optimality system
Elenco autori:
W. Ring, L. Rondi
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