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

DOI10.1002/MMA.5686zbMath1423.35132arXiv1707.00969OpenAlexW2963947226WikidataQ127743076 ScholiaQ127743076MaRDI QIDQ5240300

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

Publication date: 25 October 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00969

zbMATH Keywords

finite element methodweighted Sobolev spacesnumerical approximationnonlocal problemsregularity resultsVenttsel' boundary conditionsKoch snowflake domain

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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