A Schwarz Alternating Algorithm Using Elliptical Arc Artificial Boundary for Exterior Problems with a Concave Angle-Reference-Cited by-同舟云学术

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

Published:2014-06 Issue: Volume:941-944 Page:2341-2344
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Chen Ya Jun¹,Du Qi Kui²

Affiliation:

1. Shanghai Maritime University

2. Nanjing Normal University

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.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.941-944.2341.pdf

Reference8 articles.

1. D.H. Yu: Natural Boundary Integral Method and Its Applications (Kluwer Academic Publishers, 2002).

2. Y.J. Chen, Q.K. Du: J. Nanjing Normal Univ. Vol. 32 (2009), pp.6-12 (In Chinese).

3. Y.J. Chen, Q.K. Du: J. Numer. Meth. Comput. Appl. Vol. 34 (2013), pp.305-311 (In Chinese).

4. Q.K. Du, D.H. Yu: Appl. Numer. Math. Vol. 44 (2003), pp.471-486.

5. Q.K. Du, W. Zhu and Q. Chen: Numer. Anal. Appl. Math. Vol. 2 (2009), pp.884-887.

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