A D-N alternating algorithm for exterior 3-D problem with ellipsoidal artificial boundary

Autor: Xuqiong Luo
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 1, Pp 455-466 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022029?viewType=HTML
Popis: In this study, based on a general ellipsoidal artificial boundary, we present a Dirichlet-Neumann (D-N) alternating algorithm for exterior three dimensional (3-D) Poisson problem. By using the series concerning the ellipsoidal harmonic functions, the exact artificial boundary condition is derived. The convergence analysis and the error estimation are carried out for the proposed algorithm. Finally, some numerical examples are given to show the effectiveness of this method.
Databáze: Directory of Open Access Journals