A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains
Joint Authors
Bruno, Oscar P.
Elling, Timothy
Sen, Ayon
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present a new computational method for the solution of elliptic eigenvalue problems with variable coefficients in general two-dimensional domains.
The proposed approach is based on use of the novel Fourier continuation method (which enables fast and highly accurate Fourier approximation of nonperiodic functions in equispaced grids without the limitations arising from the Gibbs phenomenon) in conjunction with an overlapping patch domain decomposition strategy and Arnoldi iteration.
A variety of examples demonstrate the versatility, accuracy, and generality of the proposed methodology.
American Psychological Association (APA)
Bruno, Oscar P.& Elling, Timothy& Sen, Ayon. 2015. A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1073159
Modern Language Association (MLA)
Bruno, Oscar P.…[et al.]. A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains. Mathematical Problems in Engineering No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1073159
American Medical Association (AMA)
Bruno, Oscar P.& Elling, Timothy& Sen, Ayon. A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1073159
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073159