ENGLISH

Approximation of Free-Discontinuity Problems

By Andrea Braides (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
3540659773, 9783540659778
DOI
10.1007/BFb0097344
Open Library ID
OL15469314M
Language
english
Format
DJVU
Filesize
4 MB (3979704 bytes)
Series
Lecture Notes in Mathematics 1694
Edition
1
Pages
154\298
Time added
2011-01-08 23:22:23
Partial Differential Equations; Numerical Analysis

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.

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