Title : 
On the compression of system tensors arising in FFT-VIE solvers
         
        
            Author : 
Polimeridis, Athanasios G. ; White, J.K.
         
        
            Author_Institution : 
Dept. of Electr. Eng. & Comput. Sci., Massachusetts Inst. of Technol., Cambridge, MA, USA
         
        
        
        
        
        
            Abstract : 
A simple scheme for compressing the tensors arising in FFT-volume integral equation formulations is reported. The proposed solution is based on the Tucker model and the algorithm originally developed by De Lathauwer et al. [1]. A representative example from the EM analysis of human body models is used to demonstrate the effectiveness of the method; compression of 10, 000x is achieved with approximation error lower than 10-8.
         
        
            Keywords : 
biological effects of fields; fast Fourier transforms; integral equations; magnetic resonance imaging; tensors; EM analysis; FFT-VIE solvers; FFT-volume integral equation formulations; Tucker model; approximation error; human body models; system tensor compression; Algorithm design and analysis; Approximation methods; Integral equations; Magnetic resonance imaging; Mathematical model; Matrix decomposition; Tensile stress;
         
        
        
        
            Conference_Titel : 
Antennas and Propagation Society International Symposium (APSURSI), 2014 IEEE
         
        
            Conference_Location : 
Memphis, TN
         
        
        
            Print_ISBN : 
978-1-4799-3538-3
         
        
        
            DOI : 
10.1109/APS.2014.6905399