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Properties of constitutive matrices for electrostatic and magnetostatic problems

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1 Author(s)
M. Marrone ; EMC Lab, Pennsylvania State Univ., University Park, PA, USA

Constitutive matrices allow one to write the constitutive relations, in an algebraic form, in some finite-volume-based numerical methods, such as the cell method and the finite integration technique. This paper shows some properties that link a general class of constitutive matrices to the finite-element stiffness matrices. One of these properties can be exploited to provide an alternative sufficient condition for the stability of a generalized finite-difference time-domain algorithm set up by these numerical methods.

Published in:

IEEE Transactions on Magnetics  (Volume:40 ,  Issue: 3 )