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Your search keyword '"Mumford-Shah functional"' showing total 2 results
Start Over Descriptor "Mumford-Shah functional" Journal esaim: control, optimisation & calculus of variations
2 results on '"Mumford-Shah functional"'

1. A SECOND ORDER LOCAL MINIMALITY CRITERION FOR THE TRIPLE JUNCTION SINGULARITY OF THE MUMFORD-SHAH FUNCTIONAL.

Author

CRISTOFERI, RICCARDO

Subjects
*PROTOTYPES, *FRACTURE mechanics, *SURFACE energy, *MATHEMATICAL analysis, *MATHEMATICAL functions
Abstract

This paper is the first part of an ongoing project aimed at providing a local minimality criterion, based on a second variation approach, for the triple point configurations of the Mumford-Shah functional. [ABSTRACT FROM AUTHOR]

Published
2018
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2. CRITICAL POINTS OF AMBROSIO-TORTORELLI CONVERGE TO CRITICAL POINTS OF MUMFORD-SHAH IN THE ONE-DIMENSIONAL DIRICHLET CASE.

Author

Francfort, Gilles A., Le, Nam Q., and Serfaty, Sylvia

Subjects
*DIRICHLET principle, *CONJUGATE gradient methods, *NUMERICAL solutions to equations, *ELASTICITY, *MATHEMATICAL analysis
Abstract

Critical points of a variant of the Ambrosio-Tortorelli functional, for which non-zero Dirichlet boundary conditions replace the fidelity term, are investigated. They are shown to converge to particular critical points of the corresponding variant of the Mumford-Shah functional; those exhibit many symmetries. That Dirichlet variant is the natural functional when addressing a problem of brittle fracture in an elastic material. [ABSTRACT FROM AUTHOR]

Published
2009
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