Finite-difference approximation of free-discontinuity problems
نویسندگان
چکیده
منابع مشابه
Finite Difference Approximation of Free Discontinuity Problems
We approximate functionals depending on the gradient of u and on the behaviour of u near the discontinuity points, by families of non-local functionals where the gradient is replaced by finite differences. We prove pointwise convergence, Γ-convergence, and a compactness result which implies, in particular, the convergence of minima and minimizers. AMS (MOS) subject classifications: 49J45, 65K10.
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2001
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210501000257