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

2019

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

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

01 Pubblicazione su rivista

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

ISSN: 0170-4214

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