The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
본 논문에서는 천만 개 이상의 자유도를 갖는 반복 전파 전자기 유한 요소 방법에 대한 확장 노드 패치 선조건자의 수렴 가속 효과를 보고합니다. 곱셈 Schwarz 방식으로 분류되는 선조건자는 병렬 컴퓨터에서 기존의 수치적 반복 행렬 해결 방법과 효과적으로 작동합니다. 완벽하게 일치하는 레이어(PML)와 같은 흡수 경계 조건(ABC)으로 둘러싸인 분석 영역에 대해 COCG, COCR 및 GMRES 알고리즘과 결합된 선조건자의 수렴 특성을 조사했습니다. 이러한 분석에서 수렴의 속성은 주파수 범위와 PML 수를 스위핑하여 수치적으로 조사됩니다. 선조건자의 메모리 효율성 특성은 실험을 통해 수치적으로 확인되었으며 필요한 메모리 크기의 상한은 이론적으로 입증되었습니다. 마지막으로 GMRES 알고리즘을 사용하는 이 확장된 노드 패치 선조건자는 최대 1억 자유도의 문제에서 잘 작동한다는 것이 입증되었습니다.
Toshio MURAYAMA
Sony Global Manufacturing & Operations Corporation
Akira MUTO
Sony Global Manufacturing & Operations Corporation
Amane TAKEI
University of Miyazaki
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Toshio MURAYAMA, Akira MUTO, Amane TAKEI, "Convergence Properties of Iterative Full-Wave Electromagnetic FEM Analyses with Node Block Preconditioners" in IEICE TRANSACTIONS on Electronics,
vol. E101-C, no. 8, pp. 612-619, August 2018, doi: 10.1587/transele.E101.C.612.
Abstract: In this paper we report the convergence acceleration effect of the extended node patch preconditioner for the iterative full-wave electromagnetic finite element method with more than ten million degrees of freedom. The preconditioner, which is categorized into the multiplicative Schwarz scheme, effectively works with conventional numerical iterative matrix solving methods on a parallel computer. We examined the convergence properties of the preconditioner combined with the COCG, COCR and GMRES algorithms for the analysis domain encompassed by absorbing boundary conditions (ABC) such as perfectly matched layers (PML). In those analyses the properties of the convergence are investigated numerically by sweeping frequency range and the number of PMLs. Memory-efficient nature of the preconditioner is numerically confirmed through the experiments and upper bounds of the required memory size are theoretically proved. Finally it is demonstrated that this extended node patch preconditioner with GMRES algorithm works well with the problems up to one hundred million degrees of freedom.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E101.C.612/_p
부
@ARTICLE{e101-c_8_612,
author={Toshio MURAYAMA, Akira MUTO, Amane TAKEI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Convergence Properties of Iterative Full-Wave Electromagnetic FEM Analyses with Node Block Preconditioners},
year={2018},
volume={E101-C},
number={8},
pages={612-619},
abstract={In this paper we report the convergence acceleration effect of the extended node patch preconditioner for the iterative full-wave electromagnetic finite element method with more than ten million degrees of freedom. The preconditioner, which is categorized into the multiplicative Schwarz scheme, effectively works with conventional numerical iterative matrix solving methods on a parallel computer. We examined the convergence properties of the preconditioner combined with the COCG, COCR and GMRES algorithms for the analysis domain encompassed by absorbing boundary conditions (ABC) such as perfectly matched layers (PML). In those analyses the properties of the convergence are investigated numerically by sweeping frequency range and the number of PMLs. Memory-efficient nature of the preconditioner is numerically confirmed through the experiments and upper bounds of the required memory size are theoretically proved. Finally it is demonstrated that this extended node patch preconditioner with GMRES algorithm works well with the problems up to one hundred million degrees of freedom.},
keywords={},
doi={10.1587/transele.E101.C.612},
ISSN={1745-1353},
month={August},}
부
TY - JOUR
TI - Convergence Properties of Iterative Full-Wave Electromagnetic FEM Analyses with Node Block Preconditioners
T2 - IEICE TRANSACTIONS on Electronics
SP - 612
EP - 619
AU - Toshio MURAYAMA
AU - Akira MUTO
AU - Amane TAKEI
PY - 2018
DO - 10.1587/transele.E101.C.612
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E101-C
IS - 8
JA - IEICE TRANSACTIONS on Electronics
Y1 - August 2018
AB - In this paper we report the convergence acceleration effect of the extended node patch preconditioner for the iterative full-wave electromagnetic finite element method with more than ten million degrees of freedom. The preconditioner, which is categorized into the multiplicative Schwarz scheme, effectively works with conventional numerical iterative matrix solving methods on a parallel computer. We examined the convergence properties of the preconditioner combined with the COCG, COCR and GMRES algorithms for the analysis domain encompassed by absorbing boundary conditions (ABC) such as perfectly matched layers (PML). In those analyses the properties of the convergence are investigated numerically by sweeping frequency range and the number of PMLs. Memory-efficient nature of the preconditioner is numerically confirmed through the experiments and upper bounds of the required memory size are theoretically proved. Finally it is demonstrated that this extended node patch preconditioner with GMRES algorithm works well with the problems up to one hundred million degrees of freedom.
ER -