Γ-LIMITS OF CONVOLUTION FUNCTIONALS

被引：2

作者：

Lussardi, Luca ^{[1
]}

Magni, Annibale ^{[2
]}

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis N Tartaglia, I-25121 Brescia, Italy

[2] Univ Freiburg, Math Inst, Abt Reine Math, D-79104 Freiburg, Germany

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2013年 / 19卷 / 02期

关键词：

Free discontinuities; Gamma-convergence; anisotropy; FINITE-ELEMENT APPROXIMATION; FREE-DISCONTINUITY PROBLEMS; NONLOCAL APPROXIMATION; SEQUENCES;

D O I：

10.1051/cocv/2012018

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We compute the Gamma-limit of a sequence of non-local integral functionals depending on a regularization of the gradient term by means of a convolution kernel. In particular, as Gamma-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.

引用

页码：486 / 515

页数：30

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