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Efficient simulation of coupled circuit-field problems: generalized Falk method

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3 Author(s)
Vu-Quoc, L. ; Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA ; Yuhu Zhai ; Ngo, K.D.T.

The proposed generalized Falk (GF) method offers an extremely simple and convenient way to solve coupled circuit-field problems in circuit simulators by transforming the discretized governing-field equations into guaranteed stable-and-passive one-dimensional (1D) equivalent-circuit systems, which are then combined with the circuit part of the overall coupled problem. More efficient than the traditional Lanczos-type methods, the GF method transforms a general finite-element system represented by a system of full matrices into an identity capacitance (mass) matrix and a tridiagonal conductance (stiffness) matrix. No positive poles are produced; all transformed matrices remain positive definite. The resulting 1D equivalent-circuit system contains only resistors, capacitors, inductors, and current sources. Several numerical examples are provided.

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:23 ,  Issue: 8 )