Further improvements in equivalent-circuit model with levelized incomplete LU factorization for mixed-level semiconductor device and circuit simulation

Jing Fu Dai, Chia Cherng Chang, Szu Ju Li, Yao Tsung Tsai

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Numerical simulation of semiconductor devices plays a very important role in the design and development of integrated circuits. We have successfully proposed a new level of convergence performance, when truncation parameter α=1, by combining a simplified, decoupled Gummel-like method (DM) equivalent-circuit model and levelized incomplete LU (L-ILU) factorization in simulating arbitrary, planar semiconductor devices. Further, in order to overcome the problem of decoupled method that the boundary of the device's terminal must be connected to a voltage source, we present a partial decoupled equivalent-circuit model (PDM) with levelized incomplete LU factorization. The complementary techniques for enhancing matrix diagonal dominance and helping program convergence are successfully combined to yield an efficient and robust decoupled nonlinear solution method for numerical simulation. It not only saves memory consumption but also can provide an effective matrix solver for mixed-level semiconductor device and circuit simulation.

Original languageEnglish
Pages (from-to)1181-1188
Number of pages8
JournalSolid-State Electronics
Volume48
Issue number7
DOIs
StatePublished - Jul 2004

Keywords

  • Gummel-like method
  • Levelized incomplete LU
  • Truncation parameter

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