#### Filter Results:

- Full text PDF available (6)

#### Publication Year

2002

2012

- This year (0)
- Last 5 years (1)
- Last 10 years (5)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- G. Buttazzo, G. Carlier, M. Comte
- 2007

Given a bounded open subset Ω of Rd and two positive weight functions f and g, the Cheeger sets of Ω are the subdomains C of finite perimeter of Ω that maximize the ratio ∫ C f(x) dx / ∫ ∂∗C g(x) dH d−1. Existence of Cheeger sets is a well-known fact. Uniqueness is a more delicate issue and is not true in general (although it holds when Ω is convex and f ≡… (More)

- Myriam Comte, Thomas Lachand-Robert
- SIAM J. Math. Analysis
- 2002

We are looking for the domains Ω ⊂ R tiling the plane and functions u : Ω → R satisfying the simple impact assumption introduced by G. Buttazzo, V. Ferone and B. Kawohl [1] about the Newton’s problem of the body of minimal resistance, which minimize functionals F (u; Ω) = 1 |Ω| ∫ Ω f(|∇u|), with f decreasing. We prove that only some convex polygons are… (More)

This article deals with the numerical computation of the Cheeger constant and the approximation of the maximal Cheeger set of a given subset of R. This problem is motivated by landslide modelling as well as by the continuous maximal flow problem. Using the fact that the maximal Cheeger set can be approximated by solving a rather simple projection problem,… (More)

This paper proposes a numerical scheme to approximate the solution of (vectorial) limit load problems. The method makes use of a strictly convex perturbation of the problem, which corresponds to a projection of the deformation field under bounded deformation and incompressibility constraints. The discretized formulation of this perturbation converges to the… (More)

- M. Comte, J. I. Diaz
- 2008

We study the flat region of stationary points of the functional

In this paper, we consider a model of phosphorus uptake by plant roots, governed by a quasilinear parabolic equation. We first study the well-posedness of the associated Cauchy problem. Then, we consider a shape optimization problem: how to deform the shape of the root in order to increase phosphorus uptake. Finally, we give some numerical results of the… (More)

- ‹
- 1
- ›