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The calibration method for the Mumford-Shah functional and free-discontinuity problems

✍ Scribed by Giovanni Alberti; Guy Bouchitté; Gianni Dal Maso

Publisher
Springer
Year
2003
Tongue
English
Weight
335 KB
Volume
16
Category
Article
ISSN
0944-2669

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📜 SIMILAR VOLUMES

Local calibrations for minimizers of the
Local calibrations for minimizers of the Mumford–Shah functional with a regular discontinuity set
✍ Maria Giovanna Mora; Massimiliano Morini 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 360 KB

Using a calibration method, we prove that, if w is a function which satisfies all Euler conditions for the Mumford-Shah functional on a two-dimensional open set , and the discontinuity set S w of w is a regular curve connecting two boundary points, then there exists a uniform neighbourhood U of S w

Hölder continuity conditions for the sol
Hölder continuity conditions for the solvability of Dirichlet problems involving functionals with free discontinuities
✍ F.A Lops; F Maddalena; S Solimini 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 272 KB

The paper deals with the problem of minimizing a free discontinuity functional under Dirichlet boundary conditions. An existence result was known so far for C 1 (∂ ) boundary data û. We show here that the same result holds for û ∈ C 0,µ (∂ ) if µ > 1 2 and it cannot be extended to cover the case µ =

On the coupling of finite volume and dis
On the coupling of finite volume and discontinuous Galerkin method for elliptic problems
✍ Prince Chidyagwai; Ilya Mishev; Béatrice Rivière 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 976 KB

The coupling of cell-centered finite volume method with primal discontinuous Galerkin method is introduced in this paper for elliptic problems. Convergence of the method with respect to the mesh size is proved. Numerical examples confirm the theoretical rates of convergence. Advantages of the couple