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.
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.
Reconstruction of cracks and material losses by perimeter-like penalizations and phase-field methods: numerical results
L. Rondi
2011
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.File | Dimensione | Formato | |
---|---|---|---|
IFB11-pp.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
824.85 kB
Formato
Adobe PDF
|
824.85 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.