Downloads: 490

Files in This Item:
File Description SizeFormat 
j.jcp.2011.08.019.pdf2.87 MBAdobe PDFView/Open
Title: Preconditioning based on Calderon’s formulae for periodic fast multipole methods for Helmholtz’ equation
Authors: Niino, Kazuki  kyouindb  KAKEN_id
Nishimura, Naoshi  kyouindb  KAKEN_id
Author's alias: 西村, 直志
Keywords: BEM
FMM
Preconditioning
Calderon’s formulae
Wood’s anomaly
Issue Date: Jan-2012
Publisher: Elsevier Inc.
Journal title: Journal of Computational Physics
Volume: 231
Issue: 1
Start page: 66
End page: 81
Abstract: Solution of periodic boundary value problems is of interest in various branches of science and engineering such as optics, electromagnetics and mechanics. In our previous studies we have developed a periodic fast multipole method (FMM) as a fast solver of wave problems in periodic domains. It has been found, however, that the convergence of the iterative solvers for linear equations slows down when the solutions show anomalies related to the periodicity of the problems. In this paper, we propose preconditioning schemes based on Calderon’s formulae to accelerate convergence of iterative solvers in the periodic FMM for Helmholtz’ equations. The proposed preconditioners can be implemented more easily than conventional ones. We present several numerical examples to test the performance of the proposed preconditioners. We show that the effectiveness of these preconditioners is definite even near anomalies.
Rights: © 2011 Elsevier Inc.
This is not the published version. Please cite only the published version.
この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/150932
DOI(Published Version): 10.1016/j.jcp.2011.08.019
Appears in Collections:Journal Articles

Show full item record

Export to RefWorks


Export Format: 


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.