Approximation of free-discontinuity problems
著者
書誌事項
Approximation of free-discontinuity problems
（Lecture notes in mathematics, 1694）
Springer, c1998
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注記
Includes bibliographical references (p. [145]-148) and index
内容説明・目次
内容説明
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.
目次
Functions of bounded variation.- Special functions of bounded variation.- Examples of approximation.- A general approach to approximation.- Non-local approximation.
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