Title :
Hybrid Cross Approximation for a Magnetostatic Formulation
Author :
Siau, Jonathan ; Chadebec, Olivier ; Perrussel, Ronan ; Poirier, Jeane-Ren
Author_Institution :
Grenoble Electr. Eng. Lab., Univ. Grenoble Alpes, Grenoble, France
Abstract :
A particular integral equation for magnetostatic problems is solved performing the hybrid cross approximation (HCA). This approximation technique is briefly compared with the fast multipole method on an electrostatic example. The relevancy and the versatility of the HCA is assessed on magnetostatic examples by comparison with the adaptive cross approximation.
Keywords :
approximation theory; integral equations; magnetostatics; adaptive cross approximation; electrostatic problems; fast multipole method; hybrid cross approximation; integral equation; magnetostatic problems; Approximation methods; Assembly; Complexity theory; Geometry; Integral equations; Kernel; Magnetostatics; $mathcal H$ -matrix; hybrid cross approximation (HCA); integral equation; magnetostatic;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2014.2364739
