Fast level set based algorithms using shape and topological sensitivity information
Fictitious domain/mixed finite element approach for a class of optimal shape design problems
Finding global minima with a filled function approach for non-smooth global optimization.
Finite difference approximation of control via the potential in a 1-D Schrödinger equation.
Finite element approximation of the volume-matching problem.
Finite element error analysis for state-constrained optimal control of the Stokes equations
Finite element estimates for a class of nonlinear variational inequalities.
Finite-difference approximation of energies in fracture mechanics
Finite-differences discretizations of the Mumford-Shah functional
Finite-differences discretizations of the mumford-shah functional
About two years ago, Gobbino [21] gave a proof of a De Giorgi's conjecture on the approximation of the Mumford-Shah energy by means of finite-differences based non-local functionals. In this work, we introduce a discretized version of De Giorgi's approximation, that may be seen as a generalization of Blake and Zisserman's “weak membrane” energy (first introduced in the image segmentation framework). A simple adaptation of Gobbino's results allows us to compute the Γ-limit of this discrete functional...
Formulation mixte d'un problème de jonctions de poutres adaptée à la résolution d'un problème d'optimisation