The Schwartz Alternating Algorithm for Solving 3D Exterior Helmholtz Problems
Joint Authors
Liu, Baoqing
Chen, Qing
Du, Qikui
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Based on the natural boundary reduction, an overlapping domain decomposition method is discussed for solving exterior Helmholtz problem over a three-dimensional (3D) domain.
By introducing two different artificial boundaries, the original unbounded domain is divided into a bounded subdomain and a typical unbounded region, and a Schwartz alternating method is presented.
The finite element method and natural boundary element method are alternately applied to solve the problems in the bounded subdomain and the typical unbounded subdomain.
Moreover, the convergence of the Schwartz alternating algorithm is studied.
Finally, some numerical experiments are presented to show the performance of this method.
American Psychological Association (APA)
Chen, Qing& Liu, Baoqing& Du, Qikui. 2018. The Schwartz Alternating Algorithm for Solving 3D Exterior Helmholtz Problems. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1208169
Modern Language Association (MLA)
Chen, Qing…[et al.]. The Schwartz Alternating Algorithm for Solving 3D Exterior Helmholtz Problems. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1208169
American Medical Association (AMA)
Chen, Qing& Liu, Baoqing& Du, Qikui. The Schwartz Alternating Algorithm for Solving 3D Exterior Helmholtz Problems. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1208169
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208169