We study a nonlocal Venttsel' problem in a nonconvex bounded domain with a Koch-type boundary. Regularity results of the strict solution are proved in weighted Sobolev spaces. The numerical approximation of the problem is carried out, and optimal a priori error estimates are obtained.

Nonlocal Venttsel' diffusion in fractal‐type domains: Regularity results and numerical approximation / Cefalo, Massimo; Creo, Simone; Lancia, Maria Rosaria; Vernole, Paola. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 42:14(2019), pp. 4712-4733. [10.1002/mma.5686]

Nonlocal Venttsel' diffusion in fractal‐type domains: Regularity results and numerical approximation

Cefalo, Massimo;Creo, Simone;Lancia, Maria Rosaria
;
Vernole, Paola
2019

Abstract

We study a nonlocal Venttsel' problem in a nonconvex bounded domain with a Koch-type boundary. Regularity results of the strict solution are proved in weighted Sobolev spaces. The numerical approximation of the problem is carried out, and optimal a priori error estimates are obtained.
finite element method; Koch snowflake domain; nonlocal problems; numerical approximation; regularity results; Venttsel' boundary conditions; weighted Sobolev spaces
01 Pubblicazione su rivista::01a Articolo in rivista
Nonlocal Venttsel' diffusion in fractal‐type domains: Regularity results and numerical approximation / Cefalo, Massimo; Creo, Simone; Lancia, Maria Rosaria; Vernole, Paola. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 42:14(2019), pp. 4712-4733. [10.1002/mma.5686]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1280245
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