On the Coefficients of the Singularities of the Solution of Maxwell’s Equations near Polyhedral Edges
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-03
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The solution fields of Maxwell’s equations are known to exhibit singularities near corners, crack tips, edges, and so forth of the physical domain.
The structures of the singular fields are well known up to some undetermined coefficients.
In two-dimensional domains with corners and cracks, the unknown coefficients are real constants.
However, in three-dimensional domains the unknown coefficients are functions defined along the corresponding edges.
This paper proposes explicit formulas for the computation of these coefficients in the case of two-dimensional domains with corners and three-dimensional domains with straight edges.
The coefficients of the singular fields along straight edges of three-dimensional domains are represented in terms of Fourier series.
The formulas presented are aimed at the numerical approximation of the coefficients of the singular fields.
They can also be used for the construction of adaptive H 1 -nodal finite-element procedures for the efficient numerical treatment of Maxwell’s equations in nonsmooth domains.
American Psychological Association (APA)
Nkemzi, Boniface. 2016. On the Coefficients of the Singularities of the Solution of Maxwell’s Equations near Polyhedral Edges. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-17.
https://search.emarefa.net/detail/BIM-1112640
Modern Language Association (MLA)
Nkemzi, Boniface. On the Coefficients of the Singularities of the Solution of Maxwell’s Equations near Polyhedral Edges. Mathematical Problems in Engineering No. 2016 (2016), pp.1-17.
https://search.emarefa.net/detail/BIM-1112640
American Medical Association (AMA)
Nkemzi, Boniface. On the Coefficients of the Singularities of the Solution of Maxwell’s Equations near Polyhedral Edges. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-17.
https://search.emarefa.net/detail/BIM-1112640
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112640