Title :
3-D Magnetostatic Using the Fast Multiple Method
Author :
Adedoyin, A. ; Andrei, P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Florida A&M Univ., Tallahassee, FL
fDate :
6/1/2007 12:00:00 AM
Abstract :
This paper presents an efficient implementation of the fast multipole method (FMM) for magnetic field and electromagnetic force computations. The total computational cost of our technique is proportional to O[(N+M)ln(N+M)], where N is the number of evaluation points and M is the number of source points of the system. This technique is based on the efficient computation of the integral in the Biot-Savart law by using the FMM technique. Sample numerical results are presented for the vector potential and magnetic field in a toroidal system
Keywords :
electromagnetic forces; magnetic fields; magnetostatics; 3-D magnetostatic; Biot-Savart law; fast multipole method; toroidal system; Computational efficiency; Electromagnetic fields; Electromagnetic forces; Helium; Magnetostatics; Physics computing; Polynomials; Tensile stress; Toroidal magnetic fields; Wire; Computational electromagnetics; fast multipole method (FMM); magnetic field;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.893842