TY - BOOK ID - 16767041 TI - Approximation of free-discontinuity problems PY - 1998 VL - 1694 SN - 3540647716 3540687149 9783540647713 PB - Berlin ; Heidelberg ; New York Springer Verlag DB - UniCat KW - Calculus of variations KW - Functions of bounded variation KW - Convergence KW - Perturbation (Mathematics) KW - Calcul des variations KW - Convergentie KW - Fonctions à variation bornée KW - Functies met begrensde variatie KW - Perturbatie (Wiskunde) KW - Perturbation (Mathématiques) KW - Variatieberekening KW - Partial differential equations. KW - Numerical analysis. KW - Mathematical physics. KW - Partial Differential Equations. KW - Numerical Analysis. KW - Theoretical, Mathematical and Computational Physics. KW - Physical mathematics KW - Physics KW - Mathematical analysis KW - Partial differential equations KW - Mathematics KW - Functions of bounded variation. KW - Convergence. KW - Calculus of variations. KW - Isoperimetrical problems KW - Variations, Calculus of KW - Maxima and minima KW - Functions KW - Bounded variables, Functions of KW - Bounded variation, Functions of KW - BV functions KW - Functions of bounded variables KW - Functions of real variables UR - https://www.unicat.be/uniCat?func=search&query=sysid:16767041 AB - 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. ER -