Approximation of Free-Discontinuity Problems

• Main Author: Braides, Andrea (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1694
• Subjects: Partial differential equations.; Numerical analysis.; Mathematical physics.; Partial Differential Equations.; Numerical Analysis.; Theoretical, Mathematical and Computational Physics.

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 (u...

Table of Contents:

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