Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
type: Item
instance of: scholarly article
title: Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
zbMATH Open document ID: 0961.65062
author: Antonin Chambolle
author: Blaise Bourdin
published in: Numerische Mathematik
publication date: 2000-08-15T00:00:00Z
review text: 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.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 1491747
zbMATH Keywords: numerical example
zbMATH Keywords: Mumford-Shah problem
zbMATH Keywords: finite element method
zbMATH Keywords: convergence
describes a project that uses: BL2D-V2
MaRDI profile type: Publication
DOI: 10.1007/S002110000099
description: scientific article; zbMATH DE number 1491747