Title :
2-D dual finite-element formulations for the fast extraction of circuit parameters in VLSI
Author_Institution :
Cadence Design Syst. Inc., San Jose, CA, USA
fDate :
5/1/2003 12:00:00 AM
Abstract :
This paper presents two-dimensional dual finite-element formulations for the extraction of electric circuit parameters in very large scale integration (VLSI) circuits. The formulations use scalar or one-component vector potential variables and nodal elements. Necessary cuts or links are automatically generated to take into account nontrivial domain. The similarity between formulations of different problems as well as cuts and links is illustrated. All C, R, and L extractions can be performed with a unified field solver. Exploration of dual energy bounds provides fast and accurate circuit parameter results.
Keywords :
VLSI; computational electromagnetics; electric fields; electrostatics; finite element analysis; integrated circuit modelling; magnetostatics; 2D dual finite-element formulations; 2D magnetostatic problem; EM field solver; VLSI circuit parameter extraction; dual energy bounds; electric circuit parameters; electrostatic field problems; fast extraction; nodal elements; one-component vector potential variables; scalar variables; unified field solver; very large scale integration; Boundary conditions; Circuits; Electromagnetic fields; Electrostatics; Equations; Finite element methods; Magnetostatics; Parameter extraction; Two dimensional displays; Very large scale integration;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2003.810548