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Approximation of Free-Discontinuity Problems

Approximation of Free-Discontinuity Problems

Paperback

Series: Lecture Notes in Mathematics, Book 1694

CalculusGeneral MathematicsProbability & Statistics

ISBN10: 3540647716
ISBN13: 9783540647713
Publisher: Springer Nature
Published: Sep 17 1998
Pages: 154
Weight: 0.54
Height: 0.36 Width: 6.14 Depth: 9.21
Language: 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 (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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Calculus