scholarly journals CHARACTERISTIC BASIS FUNCTION METHOD FOR ITERATION-FREE SOLUTION OF LARGE METHOD OF MOMENTS PROBLEMS

2008 ◽  
Vol 6 ◽  
pp. 307-336 ◽  
Author(s):  
Raj Mittra ◽  
Kai Du
Keyword(s):  
Method Of Moments ◽  
Basis Function ◽  
Function Method ◽  
Free Solution

Fast Frequency Sweep for Multiple PEC Objects RCS Computation Based on the Characteristic Basis Function Method

2014 ◽  
Vol 667 ◽  
pp. 345-348
Author(s):  
Jie Liu ◽  
Wei Lai Li ◽  
Jian Jun Pan ◽  
Zhong Kuan Chen
Keyword(s):  
Method Of Moments ◽  
Basis Function ◽  
Function Method ◽  
Wide Band ◽  
Basis Functions ◽  
Computational Time ◽  
Matrix Equations ◽  
Electric Conducting ◽  
Band Characteristic ◽  
Wideband Radar

To obtain wideband radar cross-section (RCS) frequency response of multiple perfectly electric conducting (PEC) objects, the frequency sweeping by reusing the ultra-wide band characteristic basis functions (UCBFs) is applied. This method, based on the Characteristic Basis Function Method (CBFM), maintains all the benefit of CBFM, especially accelerating the solution of matrix equations generated by the method of moments (MoM) applied to the scatting problems in electromagnetics. Compared with conventional CBFM procedure, reusing the UCBFs without repeating the calculations of them at different frequency points leads to a significant reduction of computational time. Generating UCBFs for highest frequency, reusing UCBFs for lower frequencies and constructing reduced matrix for each frequency are the three keys of this method. Numerical results demonstrated the efficiency of this method.

scholarly journals Application of the Characteristic Basis Function Method Using CUDA

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Juan Ignacio Pérez ◽  
Eliseo García ◽  
José A. de Frutos ◽  
Felipe Cátedra
Keyword(s):  
Method Of Moments ◽  
Basis Function ◽  
Function Method ◽  
Matrix Equations ◽  
Compute Unified Device Architecture ◽  
Device Architecture ◽  
Graphics Processing ◽  
Computing Infrastructure

The characteristic basis function method (CBFM) is a popular technique for efficiently solving the method of moments (MoM) matrix equations. In this work, we address the adaptation of this method to a relatively new computing infrastructure provided by NVIDIA, the Compute Unified Device Architecture (CUDA), and take into account some of the limitations which appear when the geometry under analysis becomes too big to fit into the Graphics Processing Unit’s (GPU’s) memory.

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