GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Extraction of circuit models for substrate cross-talk
ICCAD '95 Proceedings of the 1995 IEEE/ACM international conference on Computer-aided design
An Overview of Substrate Noise Reduction Techniques
ISQED '04 Proceedings of the 5th International Symposium on Quality Electronic Design
Substrate Coupling: Modeling, Simulation and Design Perspectives
ISQED '04 Proceedings of the 5th International Symposium on Quality Electronic Design
An improved direct boundary element method for substrate coupling resistance extraction
GLSVLSI '05 Proceedings of the 15th ACM Great Lakes symposium on VLSI
Substrate resistance extraction with direct boundary element method
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient techniques for accurate modeling and simulation of substrate coupling in mixed-signal IC's
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
On the numerical stability of Green's function for substrate coupling in integrated circuits
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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It is important to model substrate couplings for SoC/mixed-signal circuit designs. After introducing the continuation equation of full current in lossy substrates, we present a new direct boundary element method (DBEM), which can handle the substrates with arbitrary doping profiles. Three techniques can speed up the DBEM remarkably, which include reusing coefficient matrices for multiple-frequency calculation, condensing the linear system, and sparsifying coefficient matrix. Numerical experiments illustrate that DBEM has high accuracy and high efficiency, and is versatile for arbitrary doping profiles.