Fictitious Domain Technique for the Calculation of Time-Periodic Solutions of Scattering Problem
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-26
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The fictitious domain technique is coupled to the improved time-explicit asymptotic method for calculating time-periodic solution of wave equation.
Conventionally, the practical implementation of fictitious domain method relies on finite difference time discretizations schemes and finite element approximation.
Our new method applies finite difference approximations in space instead of conventional finite element approximation.
We use the Dirac delta function to transport the variational forms of the wave equations to the differential form and then solve it by finite difference schemes.
Our method is relatively easier to code and requires fewer computational operations than conventional finite element method.
The numerical experiments show that the new method performs as well as the method using conventional finite element approximation.
American Psychological Association (APA)
Rao, Ling& Chen, Hongquan. 2011. Fictitious Domain Technique for the Calculation of Time-Periodic Solutions of Scattering Problem. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-476821
Modern Language Association (MLA)
Rao, Ling& Chen, Hongquan. Fictitious Domain Technique for the Calculation of Time-Periodic Solutions of Scattering Problem. Mathematical Problems in Engineering No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-476821
American Medical Association (AMA)
Rao, Ling& Chen, Hongquan. Fictitious Domain Technique for the Calculation of Time-Periodic Solutions of Scattering Problem. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-476821
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476821