线性增长的自由不连续问题的二阶逼近

Asymptot. Anal. Pub Date : 2018-10-09 DOI:10.3233/ASY-181476

Teresa Esposito

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引用次数: 1

摘要

令g:[0，+∞)→[0，+∞)递增且有界。近似泛函为AmbrosioTortorelli型，依赖于边缘变量v的Hessian或Laplacian，因此属于W (Ω)。当空间维度等于2和3时，v是连续的，这种改进的规律性导致了一系列近似函数，可以用于数值模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Second-order approximation of free-discontinuity problems with linear growth

with g : [0,+∞) → [0,+∞) increasing and bounded. The approximating functionals are of AmbrosioTortorelli type and depend on the Hessian or on the Laplacian of the edge variable v which thus belongs to W (Ω). When the space dimension is equal to two and three v is then continuous and this improved regularity leads to a sequence of approximating functionals which are ready to be used for numerical simulations.

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Asymptot. Anal.

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