Finite Difference Approximation of Free Discontinuity Problems
نویسندگان
چکیده
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.
منابع مشابه
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تاریخ انتشار 2008