Approximation of Free-Discontinuity Problems. 1st ed. 1998

種類:

電子ブック

責任表示:

by Andrea Braides

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998

著者名:

• Braides, Andrea.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1694

ISBN:

9783540687146 [3540687149]    

注記:

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

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