Nonlocal Venttsel' diffusion in fractal-type domains: regularity results and numerical approximation
Analysis of PDEs
2017-07-05 v1
Abstract
We study a nonlocal Venttsel' problem in a non-convex 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.
Keywords
Cite
@article{arxiv.1707.00969,
title = {Nonlocal Venttsel' diffusion in fractal-type domains: regularity results and numerical approximation},
author = {Massimo Cefalo and Simone Creo and Maria Rosaria Lancia and Paola Vernole},
journal= {arXiv preprint arXiv:1707.00969},
year = {2017}
}
Comments
32 pages, 7 figures