Numerical approximation of the integral fractional Laplacian
نویسندگان
چکیده
منابع مشابه
Numerical Approximation of the Fractional Laplacian via hp-finite Elements, with an Application to Image Denoising
The fractional Laplacian operator (−∆) on a bounded domain Ω can be realized as a Dirichlet-to-Neumann map for a degenerate elliptic equation posed in the semi-infinite cylinder Ω × (0,∞). In fact, the Neumann trace on Ω involves a Muckenhoupt weight that, according to the fractional exponent s, either vanishes (s < 1/2) or blows up (s > 1/2). On the other hand, the normal trace of the solution...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2019
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-019-01025-x