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A Schwarz Alternating Algorithm Using Elliptical Arc Artificial Boundary for Exterior Problems with a Concave Angle

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Abstract:

In this paper, a Schwarz alternating algorithm using elliptical arc artificial boundary for boundary value problem of Poisson equation in an infinite domain with a concave angle is investigated. The convergence of this algorithm is given. The convergence rate is analyzed in details for a typical domain. Finally, some numerical examples are presented to show effectiveness of our method.

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Periodical:

Advanced Materials Research (Volumes 941-944)

Pages:

2341-2344

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.941-944.2341

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Cite this paper

Online since:

June 2014

Authors:

Ya Jun Chen*, Qi Kui Du

Keywords:

Convergence, Elliptical Arc Artificial Boundary, Exterior Problem, Schwarz Alternating Algorithm

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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References

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