The Overlapping Domain Decomposition Method for Exterior Harmonic Problem with Mixed Boundary Conditions

DOI

10.2991/ammsa-17.2017.74How to use a DOI?

Keywords

laplace equation; unbounded domain; mixed boundary conditions; domain decomposition

Abstract

In this paper, a Schwarz alternating algorithm is proposed by introducing two artificial boundaries for exterior mixed boundary value problems of Laplace equation. The theorem of the geometrical convergence is obtained for the algorithm. Two numerical examples confirm the theoretical results and demonstrate the advantage in accuracy and efficiency.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Quan Zheng
AU  - Wenjuan Shang
PY  - 2017/05
DA  - 2017/05
TI  - The Overlapping Domain Decomposition Method for Exterior Harmonic Problem with Mixed Boundary Conditions
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 331
EP  - 335
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.74
DO  - 10.2991/ammsa-17.2017.74
ID  - Zheng2017/05
ER  -