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- Antonini, Giulio, et al.
(författare)
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A comparative study of PEEC circuit elements computation
- 2003
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Ingår i: IEEE International Symposium on Electromagnetic Compatibility. - Piscataway, NJ : IEEE Communications Society. - 0780377796 ; , s. 810-813
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Konferensbidrag (refereegranskat)abstract
- A key use of the PEEC method is the solution of combined electromagnetic and circuit problems as they occur in many situations in todays very large scale integrated circuits (VLSI) and systems. An important aspect of this approach is the fast and accurate computation of PEEC circuit matrix elements, the partial inductances and normalized coefficients of potential. Recently, fast multipole methods (FMM) have been applied to the PEEC method in the frequency domain as a way to speed up the solution. In this paper, we consider the fast evaluation of the PEEC circuit matrix elements by two different methods, a matrix version of the (FMM) PEEC method and a method, which we call the fast multi-function (FMF) PEEC approach. In this technique, the matrix coefficients are evaluated using analytical functions approximation of the coefficients in combination with a proper choice of numerical quadrature formulas.
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| 2. |
- Antonini, Giulio, et al.
(författare)
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Waveform relaxation for the parallel solution of large PEEC model problems
- 2007
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Ingår i: 2007 IEEE International Symposium on Electromagnetic Compatibility. - Piscataway, NJ : IEEE Communications Society. - 1424413508
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Konferensbidrag (refereegranskat)abstract
- The solution of large 3D electromagnetic models is important for the modeling of a multitude of EMC, PI and SI problems. In this paper, we explore new algorithms for the parallel solution of large time domain 3D electromagnetic problems. Our approach is to use a volume Partial Element Equivalent Circuit (PEEC) electromagnetic formulation in combination with a Waveform Relaxation (WR) algorithm. In WR, we split the system into smaller subsystems and we break weak couplings so that the problem can be solved iteratively. WR has been used to solve a multitude of different problems. It is especially suited for parallel processing due to its favorable compute time to communication ratio. We consider a specific example for the application of WR to PEEC models.
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