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Deflated Restarting of Exponential Integrator Method with an Implicit Regularization for Efficient Transient Circuit Simulation
| Content Provider | MDPI |
|---|---|
| Author | Zhang, Meng Li, Jiaxin Yang, Chengcheng Chen, Quan |
| Copyright Year | 2021 |
| Description | Exponential integrator (EI) method based on Krylov subspace approximation is a promising method for large-scale transient circuit simulation. However, it suffers from the singularity problem and consumes large subspace dimensions for stiff circuits when using the ordinary Krylov subspace. Restarting schemes are commonly applied to reduce the subspace dimension, but they also slow down the convergence and degrade the overall computational efficiency. In this paper, we first devise an implicit and sparsity-preserving regularization technique to tackle the singularity problem facing EI in the ordinary Krylov subspace framework. Next, we analyze the root cause of the slow convergence of the ordinary Krylov subspace methods when applied to stiff circuits. Based on the analysis, we propose a deflated restarting scheme, compatible with the above regularization technique, to accelerate the convergence of restarted Krylov subspace approximation for EI methods. Numerical experiments demonstrate the effectiveness of the proposed regularization technique, and up to |
| Starting Page | 1124 |
| e-ISSN | 20799292 |
| DOI | 10.3390/electronics10091124 |
| Journal | Electronics |
| Issue Number | 9 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2021-05-10 |
| Access Restriction | Open |
| Subject Keyword | Electronics Hardware and Architecturee Transient Circuit Simulation Exponential Integrator Krylov Subspace Approximation Regularization Deflated Restarting |
| Content Type | Text |
| Resource Type | Article |
