Approximation of Free-Discontinuity Problems

• Κύριος συγγραφέας: Braides, Andrea (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Έκδοση: 1st ed. 1998.
• Σειρά: Lecture Notes in Mathematics, 1694
• Θέματα: Partial differential equations.; Numerical analysis.; Mathematical physics.; Partial Differential Equations.; Numerical Analysis.; Theoretical, Mathematical and Computational Physics.
• Φυσική περιγραφή: XIV, 154 p. online resource.
• ISBN: 9783540687146
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0097344

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.