Title :
Regularization of eddy-current formulations using discrete grad-div operators
Author :
Clemens, Markus ; Weiland, Thomas
Author_Institution :
FB 18 Elektrotech. und Informationstech., Technische Hochschule Darmstadt, Germany
fDate :
3/1/2002 12:00:00 AM
Abstract :
Discrete formulations based on the consistent finite integration technique for magneto-quasi-static problems involve the solution of either singular or very ill-conditioned algebraic systems of equations. For these formulations a regularization based on an augmentation with discrete grad-div-operators is proposed, extending the ideas in Hahne and Weiland (1992) and Bossavit (2000). Possible effects on the spectra of the algebraic systems are discussed and confirmed in numerical experiments
Keywords :
eddy currents; integration; mathematical operators; algebraic system; discrete grad-div operator; eddy current; finite integration technique; magneto-quasi-static field; numerical algorithm; regularization; Conducting materials; Conductivity; Eddy currents; Eigenvalues and eigenfunctions; Helium; Integral equations; Magnetic domains; Magnetic materials; Maxwell equations; Voltage;
Journal_Title :
Magnetics, IEEE Transactions on
