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Acceleration of the partial element equivalent circuit method with uniform tessellation—Part II: Frequency domain solver with interpolation and reuse of partial elements
Author(s) -
Romano Daniele,
Lombardi Luigi,
Antonini Giulio
Publication year - 2017
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2306
Subject(s) - partial element equivalent circuit , interpolation (computer graphics) , solver , computation , acceleration , computer science , frequency domain , algorithm , computational science , finite element method , mathematics , equivalent circuit , mathematical optimization , mathematical analysis , animation , physics , computer graphics (images) , voltage , classical mechanics , quantum mechanics , thermodynamics
Abstract Stated the importance of accelerating electromagnetic numerical methods to perform accurate and fast virtual prototyping, addressing electromagnetic compatibility/electromagnetic interference issues, in this work, we propose a novel strategy for fast frequency sweeps arising in the partial element equivalent circuit method. Since, as shown in Part I, many geometrical configurations are repeated for a uniform tessellation of 3D structures, the calculation of volume and surface integrals required to fill the partial element matrices can be performed only for a subset of the total elements. Furthermore, since these integrals slowly change with frequency, they can be easily interpolated. Finally, since the interpolation is used over a reduced number of coefficients, their computation can be performed in a vectorialized fashion. All this process leads to an impressive acceleration in the computation of partial elements for the entire frequency sweep by paying a little overhead of random access memory usage. The efficiency and accuracy of the proposed method are demonstrated through its application to 2 pertinent problems.