Title :
Comparison of tetrahedral edge finite-elements using different potential formulations
Author :
Hollaus, Karl ; Bíró, Oszkár
Author_Institution :
Inst. for Fundamentals & Theor. in Electr. Eng., Graz Univ., Austria
fDate :
5/1/2005 12:00:00 AM
Abstract :
In the last decade, edge finite-elements (FEs) have prevailed over nodal ones to approximate vector potentials especially in computing eddy current problems. Various tetrahedral edge FEs have been developed to treat three dimensional problems. The computational effort to solve the resulting equation system by the incomplete Cholesky conjugate gradient (ICCG) technique using Whitney elements and symmetric tetrahedral nodal and edge FEs of second order have been compared for different potential formulations.
Keywords :
computational electromagnetics; conjugate gradient methods; convergence of numerical methods; eddy current testing; finite element analysis; magnetic fields; Whitney elements; eddy currents; finite-element method; incomplete Cholesky conjugate gradient technique; numerical method convergence; tetrahedral edge finite-elements; vector potentials; Coils; Differential equations; Eddy currents; Electric potential; Finite element methods; Integral equations; Iron; Magnetic fields; Magnetic flux; Magnetic flux density; Convergence of numerical methods; eddy currents; edge elements; finite-element (FE) method; potential formulations;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2005.846089
