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＜E-Book＞
Approximation of Free-Discontinuity Problems / by Andrea Braides
(Lecture Notes in Mathematics. ISSN:16179692 ; 1694)

Edition	1st ed. 1998.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1998
Language	English
Size	XIV, 154 p : online resource
Authors	*Braides, Andrea author SpringerLink (Online service)
Subjects	LCSH:Differential equations LCSH:Numerical analysis LCSH:Mathematical physics FREE:Differential Equations FREE:Numerical Analysis FREE:Theoretical, Mathematical and Computational Physics
Notes	Functions of bounded variation -- Special functions of bounded variation -- Examples of approximation -- A general approach to approximation -- Non-local approximation 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 HTTP:URL=https://doi.org/10.1007/BFb0097344

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