Efficient steady-state analysis based on matrix-free Krylov-subspace methods
DAC '95 Proceedings of the 32nd annual ACM/IEEE Design Automation Conference
Efficient methods for simulating highly nonlinear multi-rate circuits
DAC '97 Proceedings of the 34th annual Design Automation Conference
ASP-DAC '00 Proceedings of the 2000 Asia and South Pacific Design Automation Conference
Proceedings of the 39th annual Design Automation Conference
A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
SIAM Journal on Scientific Computing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A Linear-Centric Modeling Approach to Harmonic Balance Analysis
Proceedings of the conference on Design, automation and test in Europe
Efficient Iterative Time Preconditioners for Harmonic Balance RF Circuit Simulation
Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design
A multigrid-like technique for power grid analysis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Accelerating harmonic balance simulation using efficient parallelizable hierarchical preconditioning
Proceedings of the 44th annual Design Automation Conference
A robust and efficient harmonic balance (HB) using direct solution of HB Jacobian
Proceedings of the 46th Annual Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Comparison study of performance of parallel steady state solver on different computer architectures
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Proceedings of the International Conference on Computer-Aided Design
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Efficient harmonic balance (HB) simulation provides a useful tool for the design of RF and microwave integrated circuits. For practical circuits that can contain strong nonlinearities, however, HB problems cannot be solved reliably or efficiently using conventional techniques. Various preconditioning techniques have been proposed to facilitate a robust and efficient analysis based on Krylov subspace linear solvers. In This work we introduce a multi-level frequency domain preconditioner based on a hierarchical frequency decomposition approach. At each Newton iteration, we recursively solve a set of smaller problems to provide an effective preconditioner for the large linearized HB problem. Compared to the standard single-level block diagonal preconditioner, our experiments indicate that our approach provides a more robust, memory efficient solution while offering a 2-9/spl times/ speedup for several strongly nonlinear HB problems in our experiments.