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
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
收藏
页码:486 / 515
页数:30
相关论文
共 50 条