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.
- ISBN10 3540687149
- ISBN13 9783540687146
- Publish Date 1 December 2006 (first published 17 September 1998)
- Publish Status Active
- Publish Country US
- Imprint Springer
- Format eBook
- Language English