VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures

VoxCap, a fast Fourier transform (FFT)-accelerated and Tucker-enhanced integral equation simulator for capacitance extraction of voxelized structures, is proposed. The VoxCap solves the surface integral equations (SIEs) for conductor and dielectric surfaces with three key attributes that make the...

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Main Authors: Wang, Mingyu, Qian, Cheng, White, Jacob K., Yucel, Abdulkadir C.
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/159505
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author Wang, Mingyu
Qian, Cheng
White, Jacob K.
Yucel, Abdulkadir C.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Wang, Mingyu
Qian, Cheng
White, Jacob K.
Yucel, Abdulkadir C.
author_sort Wang, Mingyu
collection NTU
description VoxCap, a fast Fourier transform (FFT)-accelerated and Tucker-enhanced integral equation simulator for capacitance extraction of voxelized structures, is proposed. The VoxCap solves the surface integral equations (SIEs) for conductor and dielectric surfaces with three key attributes that make the VoxCap highly CPU and memory efficient for the capacitance extraction of the voxelized structures: (i) VoxCap exploits the FFTs for accelerating the matrix-vector multiplications during the iterative solution of linear system of equations arising due to the discretization of SIEs. (ii) During the iterative solution, VoxCap uses a highly effective and memory-efficient preconditioner that reduces the number of iterations significantly. (iii) VoxCap employs Tucker decompositions to compress the block Toeplitz and circulant tensors, requiring the largest memory in the simulator. By doing so, it reduces the memory requirement of these tensors from hundreds of gigabytes to a few megabytes and the CPU time required to obtain Toeplitz tensors from tens of minutes (even hours) to a few seconds for very large scale problems. VoxCap is capable of accurately computing capacitance of arbitrarily shaped and large-scale voxelized structures on a desktop computer.
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spelling ntu-10356/1595052022-06-24T05:52:17Z VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures Wang, Mingyu Qian, Cheng White, Jacob K. Yucel, Abdulkadir C. School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Capacitance Extraction Electrostatic Analysis VoxCap, a fast Fourier transform (FFT)-accelerated and Tucker-enhanced integral equation simulator for capacitance extraction of voxelized structures, is proposed. The VoxCap solves the surface integral equations (SIEs) for conductor and dielectric surfaces with three key attributes that make the VoxCap highly CPU and memory efficient for the capacitance extraction of the voxelized structures: (i) VoxCap exploits the FFTs for accelerating the matrix-vector multiplications during the iterative solution of linear system of equations arising due to the discretization of SIEs. (ii) During the iterative solution, VoxCap uses a highly effective and memory-efficient preconditioner that reduces the number of iterations significantly. (iii) VoxCap employs Tucker decompositions to compress the block Toeplitz and circulant tensors, requiring the largest memory in the simulator. By doing so, it reduces the memory requirement of these tensors from hundreds of gigabytes to a few megabytes and the CPU time required to obtain Toeplitz tensors from tens of minutes (even hours) to a few seconds for very large scale problems. VoxCap is capable of accurately computing capacitance of arbitrarily shaped and large-scale voxelized structures on a desktop computer. Ministry of Education (MOE) Nanyang Technological University This work was supported by the Ministry of Education, Singapore, under Grant AcRF TIER 1-2018-T1-002-077 (RG 176/18), and in part by Nanyang Technological University under a startup grant. 2022-06-24T05:52:17Z 2022-06-24T05:52:17Z 2020 Journal Article Wang, M., Qian, C., White, J. K. & Yucel, A. C. (2020). VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures. IEEE Transactions On Microwave Theory and Techniques, 68(12), 5154-5168. https://dx.doi.org/10.1109/TMTT.2020.3022091 0018-9480 https://hdl.handle.net/10356/159505 10.1109/TMTT.2020.3022091 2-s2.0-85097795885 12 68 5154 5168 en 2018-T1-002-077 (RG 176/18) IEEE Transactions on Microwave Theory and Techniques © 2020 IEEE. All rights reserved.
spellingShingle Engineering::Electrical and electronic engineering
Capacitance Extraction
Electrostatic Analysis
Wang, Mingyu
Qian, Cheng
White, Jacob K.
Yucel, Abdulkadir C.
VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures
title VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures
title_full VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures
title_fullStr VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures
title_full_unstemmed VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures
title_short VoxCap: FFT-accelerated and Tucker-enhanced capacitance extraction simulator for voxelized structures
title_sort voxcap fft accelerated and tucker enhanced capacitance extraction simulator for voxelized structures
topic Engineering::Electrical and electronic engineering
Capacitance Extraction
Electrostatic Analysis
url https://hdl.handle.net/10356/159505
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AT whitejacobk voxcapfftacceleratedandtuckerenhancedcapacitanceextractionsimulatorforvoxelizedstructures
AT yucelabdulkadirc voxcapfftacceleratedandtuckerenhancedcapacitanceextractionsimulatorforvoxelizedstructures