Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
The authors present a numerical method for solving the Mumford-Shah problem \[ \int_\Omega|\nabla u(x)|^2 dx+ H^1(K)+ \int_\Omega|u(x)- g(x)|^2 dx\to \min_{u,K}. \] The given method is based on a finite element method and on adaptive meshes. The convergence of the method is proved and a numerical test is given.
scientific article; zbMATH DE number 1491747