Free Access
Issue |
ESAIM: COCV
Volume 19, Number 2, April-June 2013
|
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Page(s) | 486 - 515 | |
DOI | https://doi.org/10.1051/cocv/2012018 | |
Published online | 23 January 2013 |
- R. Alicandro and M. S. Gelli, Free discontinuity problems generated by singular perturbation : the n-dimensional case. Proc. R. Soc. Edinb. Sect. A 130 (2000) 449–469. [Google Scholar]
- R. Alicandro, A. Braides, and M.S. Gelli, Free-discontinuity problems generated by singular perturbation. Proc. R. Soc. Edinburgh Sect. A 6 (1998) 1115–1129. [CrossRef] [Google Scholar]
- L. Ambrosio and V.M. Tortorelli, Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence. Commut. Pure Appl. Math. XLIII (1990) 999–1036. [Google Scholar]
- L. Ambrosio and V.M. Tortorelli, On the approximation of free discontinuity problems. Boll. Unione Mat. Ital. B (7) VI (1992) 105–123. [Google Scholar]
- L. Ambrosio, N. Fusco and D. Pallara, Functions of Bounded Variation and Free Discontinuity Problems. Oxford University Press (2000). [Google Scholar]
- G. Bouchitté, A. Braides and G. Buttazzo, Relaxation results for some free discontinuity problems. J. Reine Angew. Math. 458 (1995) 1–18. [MathSciNet] [Google Scholar]
- B. Bourdin and A. Chambolle, Implementation of an adaptive finite-element approximation of the Mumford–Shah functional. Numer. Math. 85 (2000) 609–646. [CrossRef] [MathSciNet] [Google Scholar]
- A. Braides, Approximation of free-discontinuity problems. Lect. Notes Math. 1694 (1998). [Google Scholar]
- A. Braides, Γ-convergence for beginners. Oxford University Press (2002). [Google Scholar]
- A. Braides and G. Dal Maso, Non-local approximation of the Mumford–Shah functional. Calc. Var. 5 (1997) 293–322. [Google Scholar]
- A. Braides and A. Garroni, On the non-local approximation of free-discontinuity problems. Commut. Partial Differ. Equ. 23 (1998) 817–829. [CrossRef] [MathSciNet] [Google Scholar]
- A. Chambolle and G. Dal Maso, Discrete approximation of the Mumford–Shah functional in dimension two. ESAIM : M2AN 33 (1999) 651–672. [CrossRef] [EDP Sciences] [Google Scholar]
- G. Cortesani, Sequence of non-local functionals which approximate free-discontinuity problems. Arch. R. Mech. Anal. 144 (1998) 357–402. [CrossRef] [MathSciNet] [Google Scholar]
- G. Cortesani, A finite element approximation of an image segmentation problem. Math. Models Methods Appl. Sci. 9 (1999) 243–259. [CrossRef] [MathSciNet] [Google Scholar]
- G. Cortesani and R. Toader, Finite element approximation of non-isotropic free-discontinuity problems. Numer. Funct. Anal. Optim. 18 (1997) 921–940. [CrossRef] [MathSciNet] [Google Scholar]
- G. Cortesani and R. Toader, Nonlocal approximation of nonisotropic free-discontinuity problems. SIAM J. Appl. Math. 59 (1999) 1507–1519. [CrossRef] [MathSciNet] [Google Scholar]
- G. Cortesani and R. Toader, A density result in SBV with respect to non-isotropic energies. Nonlinear Anal. 38 (1999) 585–604. [CrossRef] [MathSciNet] [Google Scholar]
- G. Dal Maso, An Introduction to Γ-Convergence. Birkhäuser, Boston (1993). [Google Scholar]
- E. De Giorgi, Free discontinuity problems in calculus of variations, in Frontiers in pure and applied mathematics, edited by R. Dautray. A collection of papers dedicated to Jacques-Louis Lions on the occasion of his sixtieth birthday, Paris 1988. North-Holland Publishing Co., Amsterdam (1991) 55–62. [Google Scholar]
- L. Lussardi, An approximation result for free discontinuity functionals by means of non-local energies. Math. Methods Appl. Sci. 31 (2008) 2133–2146. [CrossRef] [Google Scholar]
- L. Lussardi and E. Vitali, Non local approximation of free-discontinuity functionals with linear growth : the one dimensional case. Ann. Mat. Pura Appl. 186 (2007) 722–744. [CrossRef] [Google Scholar]
- L. Lussardi and E. Vitali, Non local approximation of free-discontinuity problems with linear growth. ESAIM : COCV 13 (2007) 135–162. [CrossRef] [EDP Sciences] [Google Scholar]
- M. Morini, Sequences of singularly perturbed functionals generating free-discontinuity problems. SIAM J. Math. Anal. 35 (2003) 759–805. [CrossRef] [MathSciNet] [Google Scholar]
- M. Negri, The anisotropy introduced by the mesh in the finite element approximation of the Mumford–Shah functional. Numer. Funct. Anal. Optim. 20 (1999) 957–982. [CrossRef] [MathSciNet] [Google Scholar]
- M. Negri, A non-local approximation of free discontinuity problems in SBV and SBD. Calc. Var. 25 (2006) 33–62. [Google Scholar]
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