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Open AccessProceedings ArticleDOI

Parallel transistor level full-chip circuit simulation

TLDR
A fully parallel transistor level full-chip circuit simulation tool with SPICE-accuracy for general circuit designs and the proposed overlapping domain decomposition approach partitions the circuit into a linear subdomain and multiple non-linear subdomains based on circuit non- linearity and connectivity.
Abstract: 
In this paper, we present a fully parallel transistor level full-chip circuit simulation tool with SPICE-accuracy for general circuit designs. The proposed overlapping domain decomposition approach partitions the circuit into a linear subdomain and multiple non-linear subdomains based on circuit non-linearity and connectivity. Parallel iterative matrix solver is used to solve the linear domain while non-linear subdomains are parallelly distributed into different processors topologically and solved by direct solver. To achieve maximum parallelism, device model evaluation is done parallelly. Parallel domain decomposition technique is used to iteratively solve the different partitions of the circuit and ensure convergence. Orders of magnitude speedup over SPICE is observed for sets of large-scale circuit designs on up to 64 processors.

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Citations
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Journal ArticleDOI

Time-Domain Analysis of Large-Scale Circuits by Matrix Exponential Method With Adaptive Control

TL;DR: This work proposes an explicit numerical integration method based on matrix exponential operator for transient analysis of large-scale circuits and devise a prediction-correction scheme tailored for the matrix exponential approach to dynamically adjust the step size and the order of Krylov subspace approximation.
Proceedings ArticleDOI

PowerRush: efficient transient simulation for power grid analysis

TL;DR: A parallel transient simulation approach for efficient power grid analysis is proposed and symmetric formulation for NA equation of RLC power grid to reduce memory usage is adopted and fast Cholesky factorization solver is used to improve simulation efficiency.
Proceedings ArticleDOI

Optimized waveform relaxation solution of electromagnetic and circuit problems

TL;DR: This paper shows that applying the optimized waveform relaxation approach to a partial element equivalent circuit will yield a powerful technique for solving electromagnetic problems with the potential for a large number of parallel processor nodes.
Journal ArticleDOI

From Circuit Theory, Simulation to SPICE Diego : A Matrix Exponential Approach for Time-Domain Analysis of Large-Scale Circuits

TL;DR: Most recent numerical integration methods to improve traditional SPICE time integration schemes, which are based on linear multi-step and low order approximation for the circuit differential equation system are reported.
Proceedings ArticleDOI

Circuit simulation using matrix exponential method

TL;DR: A stable explicit numerical integration method based on matrix exponential operator that enables accurate large time stepping for transient analysis and utilizes Krylov subspace projection to reduce the computational complexity of matrix exponential.
References
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Book

Iterative Methods for Sparse Linear Systems

Yousef Saad
TL;DR: This chapter discusses methods related to the normal equations of linear algebra, and some of the techniques used in this chapter were derived from previous chapters of this book.
Book

Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations

TL;DR: 1. One level algorithms 2. Two level algorithms 3. Multilevel algorithms 4. Substructuring methods 5. A convergence theory
Book

Direct Methods for Sparse Linear Systems

TL;DR: This paper presents a meta-modelling framework for solving sparse linear systems using cholesky factorization and CSparse, and some examples show how this framework can be modified to handle sparse matrices.
Proceedings ArticleDOI

Parallel domain decomposition for simulation of large-scale power grids

TL;DR: Results for circuits with more than four million nodes indicate that parallel DD with LU factorization is most suitable for power grid simulation, but for densely connected power grids, parallelDD with additive Schwarz preconditioning offers maximum scalability and best performance.
Journal ArticleDOI

A new approach for parallel simulation of VLSI circuits on a transistor level

TL;DR: This paper presents a new approach for parallel simulation of very large scale integration (VLSI) circuits on a transistor level with an efficient partitioning technique, which yields well-balanced partitions with few interconnects and speedup results for parallel analog simulation of large industrial designs.
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