Approximation of free-discontinuity problems

Bibliographic Information

Approximation of free-discontinuity problems

Andrea Braides

(Lecture notes in mathematics, 1694)

Springer, c1998

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Note

Includes bibliographical references (p. [145]-148) and index

Description and Table of Contents

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.

Table of Contents

Functions of bounded variation.- Special functions of bounded variation.- Examples of approximation.- A general approach to approximation.- Non-local approximation.

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Details
  • NCID
    BA37789641
  • ISBN
    • 3540647716
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xi, 148 p.
  • Size
    24 cm
  • Parent Bibliography ID
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