Discontinuous Galerkin Volume Integral Equation Solution of Scattering From Inhomogeneous Dielectric Objects by Using the SWG Basis Function

2017 ◽  
Vol 65 (3) ◽  
pp. 1500-1504 ◽  
Author(s):  
Li-Ming Zhang ◽  
Xin-Qing Sheng
Keyword(s):  
Integral Equation ◽  
Discontinuous Galerkin ◽  
Basis Function ◽  
Volume Integral ◽  
Volume Integral Equation ◽  
Equation Solution ◽  
Inhomogeneous Dielectric ◽  
Dielectric Objects

scholarly journals Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Chunbei Luo ◽  
Mingjie Pang ◽  
Hai Lin
Keyword(s):  
Integral Equation ◽  
Basis Function ◽  
High Efficiency ◽  
Low Frequency ◽  
Piecewise Constant Function ◽  
Volume Integral ◽  
Scattering Problems ◽  
Volume Integral Equation ◽  
Inhomogeneous Dielectric ◽  
Brute Force Method

In this paper, a versatile solver of a nonconformal volume integral equation based on the Schaubert-Wilton-Glisson (SWG) basis function is presented. Instead of using a piecewise constant function, the robust conventional SWG basis function is chosen and used directly for discontinuous boundaries. A new map method technique is proposed for constructing SWG pairs, which reduces the complexity from ON2 to ONlogN compared with a brute-force method. The integral equation is solved by the method of moments (MoM) and further accelerated by the multilevel fast multipole algorithm (MLFMA). What’s more, the hybrid scheme of MLFMA and adaptive cross approximation (ACA) is developed to resolve the low-frequency (LF) breakdown when dealing with over-dense mesh objects. Numerical results show that when in analysis of radiation or scattering problems from inhomogeneous dielectric objects or in LF conditions, the proposed solver shows high efficiency without loss of accuracy, which demonstrates the versatile performance of the proposed method.

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