scholarly journals Preconditioning of Periodic Fast Multipole Method for Solving Volume Integral Equations

2014 ◽  
Vol 62 (9) ◽  
pp. 4799-4804
Author(s):  
Ryota Misawa ◽  
Naoshi Nishimura ◽  
Mei Song Tong
Keyword(s):  
Integral Equations ◽  
Fast Multipole Method ◽  
Volume Integral ◽  
Fast Multipole ◽  
Multipole Method

scholarly journals Fast Multipole Method Applied to Volume Integral Equation Method

2005 ◽  
Vol 3 ◽  
pp. 195-198 ◽  
Author(s):  
W. Hafla ◽  
A. Buchau ◽  
F. Groh ◽  
W. M. Rucker
Keyword(s):  
Integral Equation ◽  
Fast Multipole Method ◽  
Integral Equation Method ◽  
Equation Method ◽  
System Matrix ◽  
Volume Integral ◽  
Fast Multipole ◽  
Volume Integral Equation ◽  
Multipole Method ◽  
Volume Integral Equation Method

Abstract. The Volume Integral Equation Method (VIEM) has been used for the solution of three-dimensional non-linear magnetostatic field problems. The number of unknowns is minimal as only the magnetic material has to be discretized. For accurate solutions of problems where the magnetic field is small compared to the excitation field a difference field formulation has been developed. To reduce computational costs the fast multipole method is applied both on compression of the system matrix and during post processing. The efficiency of the formulation is demonstrated in several examples.

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