$The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator$

The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

We analyze a nonlocal diffusion operator having as special cases the fractional Laplacian and fractional differential operators that arise in several applications. In our analysis, a nonlocal vector calculus is exploited to define a weak formulation of the nonlocal problem. We demonstrate that, when...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2013-10, Vol.66 (7), p.1245-1260
Hauptverfasser:	D’Elia, Marta, Gunzburger, Max
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Finite element methods Fractional Laplacian Fractional Sobolev spaces Nonlocal diffusion Nonlocal operators Nonlocal vector calculus
Online-Zugang:	Volltext
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