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Approximation of Free-Discontinuity Problems

  • Authors
  • Andrea┬áBraides

Part of the Lecture Notes in Mathematics book series (LNM, volume 1694)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Andrea Braides
    Pages 1-6
  3. Andrea Braides
    Pages 7-26
  4. Andrea Braides
    Pages 27-38
  5. Andrea Braides
    Pages 39-86
  6. Andrea Braides
    Pages 87-102
  7. Andrea Braides
    Pages 103-130
  8. Back Matter
    Pages 131-150

About this book

Introduction

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.

Keywords

Approximation Volume calculus of variations s computer vision fracture mechanics functional analysis

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0097344
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-64771-3
  • Online ISBN 978-3-540-68714-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site