Title :
Spurious numerical solutions in electromagnetic resonance problems
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Akron, OH, USA
fDate :
5/1/2003 12:00:00 AM
Abstract :
Recent progress in the analysis of the notorious problem of "spurious modes" is briefly reviewed and an easily verifiable "Prolongation of Local Gradients" condition is proposed. The condition is closely related to commutativity of the de Rham diagram for finite-element spaces. Several families of rectangular, hexahedral, triangular, and tetrahedral elements are examined in light of this new condition.
Keywords :
computational electromagnetics; convergence of numerical methods; finite element analysis; resonance; EM resonance problems; FEM; de Rham diagram; edge elements; electromagnetic computation; finite-element methods; finite-element spaces; hexahedral elements; prolongation of local gradients condition; rectangular elements; spectral convergence; spurious modes; spurious numerical solutions; tetrahedral elements; triangular elements; Automation; Convergence of numerical methods; Couplings; Eddy currents; Finite element methods; Laplace equations; Magnetostatics; Moment methods; Resonance; Visualization;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2003.810409
