PILOT: A fast algorithm for enhanced 3D parasitic capacitance extraction efficiency
✍ Scribed by Dipanjan Gope; Vikram Jandhyala
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 256 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
Abstract
Integral‐equation methodologies applied to extract parasitics for board, package, and on‐chip structures involve solving a dense system of equations. In this paper, we present an improved matrix‐compression technique for fast iterative solution of such dense systems, which applies QR decomposition on multilevel oct‐tree‐based interaction sub‐matrices. The regular‐tree structure of the fast‐multipole method and the rank‐revealing QR‐based matrix‐compression scheme are combined in order to achieve superior time and memory efficiency. As is demonstrated by the numerical‐simulation results presented herein, the new algorithm is found to be faster and more memory efficient than both existing QR‐based methods and FastCap. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 41: 169–173, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20083