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

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. T...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 1; pp. 455 - 466
Main Author Luo, Xuqiong
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
d-n alternating algorithm
ellipsoidal artificial boundary
exterior 3-d poisson problem
natural boundary reduction
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ISSN2473-6988
2473-6988
DOI10.3934/math.2022029

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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022029