Premium
Non‐conformal geometry discretization scheme for hybrid volume and surface integral equation method
Author(s) -
Hu Jun,
Li Yin,
Feng Xiang,
Nie Zaiping
Publication year - 2012
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1852
Subject(s) - discretization , conformal map , mathematics , basis function , mathematical analysis , geometry , matrix (chemical analysis) , materials science , composite material
In traditional integral equation method, conformal geometry discretization with adjacent edges or faces is very difficult to realize in case of complicated structures like composite conductor and dielectric. It will also lead to a very ill‐conditioned matrix because of over‐meshed elements. In this paper, a flexible, non‐conformal geometry discretization scheme based on hybrid volume and surface integral equation is developed for meshing three‐dimensional composite conductor and dielectric structures. For surface discretization of conductor, grid‐robust higher order vector‐basis functions are adopted. It keeps the flexibility of geometry modeling and reduces the number of the unknowns because of the property of point‐basis functions. For volume discretization of dielectric, non‐conformal volume‐basis functions are used. Further, the integral equation‐fast Fourier transformation algorithm is applied to expedite matrix–vector multiplication in iteration process. Some numerical results are given to demonstrate the accuracy and efficiency of this method. Because of truly full non‐conformal discretization scheme, the present method has no difficulty of geometry discretization and has potential for structures with complicated geometry and materials. Copyright © 2012 John Wiley & Sons, Ltd.