A new method for the source localization in sectionally homogeneous bounded domains involving finitely many inner interfaces of arbitrary shapes
Yükleniyor...
Dosyalar
Tarih
2001-05
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A new method to localize a static point source buried in a nonhomogeneous bounded domain composed of finitely many homogeneous parts separated by interfaces of arbitrary shapes was established. The source can be a simple point charge or current or a dipole of them. The method requires only the knowledge of the potential function Phi (x, y, z) at five or six points on the outermost interface depending on whether the source is simple or dipole. The new and basic feature of the method consists of determining the potential function Phi (0)(x, y, z) which would be observed if the whole space was filled with a homogeneous material. Then, in the case of a simple source, the position P-0 as well as the strengths can be determined, in general, by solving a system of three linear algebraic equations. When the source consists of a dipole, its position P-0 and moment (p) over right arrow can be found by solving a system of six nonlinear algebraic equations. The determination of Phi (0) P-0 and s (or (p) over right arrow) is achieved iteratively by solving the above-mentioned algebraic equations along with a singular integral equation satisfied by Phi (0) Some illustrative examples show the applicability and accuracy of the method. The method can have effective applications in heat conduction, matter diffusion, electrostatics, steady-state current flow, electroencephalography, electrocardiography, etc.
Açıklama
This work was partially supported by the Turkish Academy of Sciences (TUBA).
Anahtar Kelimeler
Head, Brain, Model, Algebra, Boundary conditions, Interfaces (materials), Iterative methods, Method of moments, Problem solving, Arbitrary shapes, Sectionally homogeneous bounded domains, Computational geometry
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
39
Sayı
8
Künye
İdemen, M. M. & Alkumru, A. (2001). A new method for the source localization in sectionally homogeneous bounded domains involving finitely many inner interfaces of arbitrary shapes. International Journal of Engineering Science, 39(8), 851-872. doi:10.1016/S0020-7225(00)00070-7
