Title :
SPICE Lumped Circuit Subcell Model for the Discontinuous Galerkin Finite-Element Time-Domain Method
Author :
Zhao, Bo ; Young, John C. ; Gedney, Stephen D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Kentucky, Lexington, KY, USA
Abstract :
A SPICE lumped circuit subcell model is formulated within the discontinuous Galerkin finite-element time-domain (DGFETD) discretization of Maxwell´s equations. A fourth-order exponential time difference (ETD) algorithm is used for circuits that lead to stiff systems. The ETD method reduces to a standard fourth-order Runge-Kutta (RK4) time-integration for nonstiff regions. A number of test cases, including a microstrip transmission line terminated with general RLC networks, load arrays, and a diode detector are presented for the validation of the proposed hybrid DGFETD/SPICE solution method.
Keywords :
Galerkin method; Maxwell equations; SPICE; finite element analysis; time-domain analysis; ETD method; Maxwell equations; RK4 time-integration; SPICE lumped circuit subcell model; diode detector; discontinuous Galerkin finite-element time-domain method; fourth-order exponential time difference algorithm; general RLC networks; hybrid DGFETD-SPICE solution method; load arrays; microstrip transmission line; nonstiff regions; standard fourth-order Runge-Kutta time-integration; Computational modeling; Equations; Integrated circuit modeling; Mathematical model; RLC circuits; SPICE; Time domain analysis; Circuit model; SPICE; discontinuous Galerkin time-domain (DGTD); finite element;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2012.2203923
