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
Creo, Simone;
2019-01-01
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.File in questo prodotto:
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