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AuthorBraides, Andrea. author
TitleApproximation of Free-Discontinuity Problems [electronic resource] / by Andrea Braides
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1998
Connect tohttp://dx.doi.org/10.1007/BFb0097344
Descript XIV, 154 p. online resource

SUMMARY

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


CONTENT

Functions of bounded variation -- Special functions of bounded variation -- Examples of approximation -- A general approach to approximation -- Non-local approximation


Mathematics Partial differential equations Numerical analysis Physics Mathematics Partial Differential Equations Numerical Analysis Theoretical Mathematical and Computational Physics



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