Approximation of Free-Discontinuity Problems / Edition 1

Approximation of Free-Discontinuity Problems / Edition 1

by Andrea Braides
     
 

ISBN-10: 3540647716

ISBN-13: 9783540647713

Pub. Date: 10/30/1998

Publisher: Springer Berlin Heidelberg

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

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Overview

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.

Product Details

ISBN-13:
9783540647713
Publisher:
Springer Berlin Heidelberg
Publication date:
10/30/1998
Series:
Lecture Notes in Mathematics Series, #1694
Edition description:
1998
Pages:
154
Product dimensions:
0.36(w) x 6.14(h) x 9.21(d)

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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