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Electric field calculation in composite dielectrics by first‐order triangular surface charge method
Author(s) -
Hamada Shoji,
Takuma Tadasu
Publication year - 2001
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/1520-6416(20010415)135:1<8::aid-eej2>3.0.co;2-y
Subject(s) - electric field , dielectric , charge (physics) , field (mathematics) , composite number , surface (topology) , method of image charges , charge density , order (exchange) , surface charge , gaussian surface , materials science , geometry , mathematical analysis , computational physics , mathematics , physics , composite material , optoelectronics , quantum mechanics , pure mathematics , finance , economics
This paper proposes a technique for calculating electric fields in composite dielectrics by the first‐order triangular surface charge method. The proposed technique utilizes two kinds of triangular elements, namely, conforming and nonconforming elements: these are elements whose charge density is continuous and discontinuous between the neighboring elements, respectively. We basically apply nonconforming elements at the edges of a polyhedral shape where the normal component of electric field cannot be fixed. We have computed the electric field for a spherical or a rectangular solid dielectric in the presence of a uniform field. Comparison shows that the proposed first‐order method works better than the zeroth‐order one, and that, in particular, the combined use of conforming and nonconforming elements produces the highest accuracy. © 2001 Scripta Technica, Electr Eng Jpn, 135(1): 8–14, 2001