A Quadratic Eigenvalue Solver of Linear Complexity for 3-D Electromagnetics-Based Analysis of Large-Scale Integrated Circuits

作者：Lee Jongwon^*; Chen Duo; Balakrishnan Venkataramanan; Koh Cheng Kok; Jiao Dan

来源：IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2012, 31(3): 380-390.

DOI：10.1109/TCAD.2011.2170989

• Arnoldi iteration
• fast solvers
• finite element methods
• full-wave analysis
• integrated circuits
• quadratic eigenvalue problem
• resonance analysis

It is of critical importance to efficiently and accurately predict global resonances of a 3-D integrated circuit system that involves arbitrarily shaped lossy conductors and inhomogeneous materials. A quadratic eigenvalue solver of linear complexity and electromagnetic accuracy is developed in this paper to fulfill this task. Without sacrificing accuracy, the proposed eigenvalue solver has shown a clear advantage over state-of-the-art eigenvalue solvers in fast CPU time. It successfully solves a quadratic eigenvalue problem of over 2.5 million unknowns associated with a large-scale 3-D on-chip circuit embedded in inhomogeneous materials in 40 min on a single 3 GHz 8222SE AMD Opteron processor.

• 出版日期2012-3