Approximation of Free-discontinuity Problems

Approximation of Free-discontinuity Problems PDF Author: Andrea Braides
Publisher:
ISBN:
Category :
Languages : en
Pages : 148

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Free Discontinuity Problems

Free Discontinuity Problems PDF Author: Nicola Fusco
Publisher: Springer
ISBN: 8876425934
Category : Mathematics
Languages : en
Pages : 237

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Book Description
This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock copolymers.

Approximation of Free-Discontinuity Problems

Approximation of Free-Discontinuity Problems PDF Author: Andrea Braides
Publisher: Springer
ISBN: 3540687149
Category : Mathematics
Languages : en
Pages : 160

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Book Description
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.

On the Approximation of Free Discontinuity Problems

On the Approximation of Free Discontinuity Problems PDF Author: Luigi Ambrosio
Publisher:
ISBN:
Category :
Languages : en
Pages : 14

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Numerical Applications of Free Discontinuity Problems to Folding and Fracture

Numerical Applications of Free Discontinuity Problems to Folding and Fracture PDF Author: Enrico Babilio
Publisher:
ISBN:
Category :
Languages : en
Pages : 105

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On the Variational Approximation of Free-discontinuity Problems in the Vecotorial Case

On the Variational Approximation of Free-discontinuity Problems in the Vecotorial Case PDF Author: Matteo Focardi
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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On the Variational Approximation of Free-discontinuity Problems in the Vectorial Case

On the Variational Approximation of Free-discontinuity Problems in the Vectorial Case PDF Author: Matteo Focardi
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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Homogenization of Free Discontinuity Problems

Homogenization of Free Discontinuity Problems PDF Author: Andrea Braides
Publisher:
ISBN:
Category :
Languages : en
Pages : 51

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Approximation of Free-discontinuity Problems by Elliptic Functionals Via I-convergence

Approximation of Free-discontinuity Problems by Elliptic Functionals Via I-convergence PDF Author: Emilio Acerbi
Publisher:
ISBN:
Category :
Languages : en
Pages : 14

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Free Boundary Problems

Free Boundary Problems PDF Author: Pierluigi Colli
Publisher: Birkhäuser
ISBN: 3034878931
Category : Mathematics
Languages : en
Pages : 342

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Book Description
Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.