Approximation of Free-Discontinuity Prob
โ Andrea Braides (auth.)
๐ Library
๐
1998
๐ Springer-Verlag Berlin Heidelberg
๐ English
โฆ LIBER โฆ
๐
Approximation of Free-Discontinuity Problems
โ Scribed by Andrea Braides (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1998
- Tongue
- English
- Leaves
- 298
- Series
- Lecture Notes in Mathematics 1694
- Edition
- 1
- Category
- Library
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โฆ Synopsis
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.
โฆ Table of Contents
Introduction....Pages 1-6
Functions of bounded variation....Pages 7-26
Special functions of bounded variation....Pages 27-38
Examples of approximation....Pages 39-86
A general approach to approximation....Pages 87-102
Non-local approximation....Pages 103-130
โฆ Subjects
Partial Differential Equations; Numerical Analysis; Mathematical and Computational Physics
๐ SIMILAR VOLUMES
Approximation of Free-Discontinuity Prob
โ Braides A., Dold A. (Ed), Takens F. (Ed)
๐ Library
๐
1998
๐ English
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 (u
Free Discontinuity Problems
โ Nicola Fusco, Aldo Pratelli (eds.)
๐ Library
๐
2016
๐ SCUOLA NORMALE SUPERIORE;Edizioni della Normale;Sc
๐ English
<p>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
Free Discontinuity Problems
โ Nicola Fusco, Aldo Pratelli (eds.)
๐ Library
๐
2016
๐ Edizioni della Normale
๐ English
<p><p>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
Functions of bounded variation and free
โ Luigi Ambrosio, Nicola Fusco, Diego Pallara
๐ Library
๐
2000
๐ Oxford University Press, USA
๐ English
Functions of Bounded Variation and Free
โ Luigi Ambrosio, Nicola Fusco, Diego Pallara
๐ Library
๐
2000
๐ Oxford University Press, USA
๐ English
This book deals with a class of mathematical problems which involve the minimization of the sum of a volume and a surface energy and have lately been referred to as 'free discontinuity problems'. The aim of this book is twofold: The first three chapters present all the basic prerequisites for the tr