Matrix-Free Edge-Domain Decomposition Method for Massively Parallel 3-D Finite Element Simulation With Field-Circuit Coupling

In this article, a novel edge-domain decomposition (EDD) method is proposed to solve 3-D nonlinear finite element (FE) problems of electromagnetic devices and transient field circuit co-simulation. The method applies reduced magnetic vector potential formulation to discretize the physical problem ba...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:IEEE transactions on magnetics Ročník 56; číslo 10; s. 1 - 9
Hlavní autoři: Li, Jiacong, Liu, Peng, Dinavahi, Venkata
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.10.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
3-D edge element
Algorithms
Circuits
Computer simulation
Coupling
Couplings
domain decomposition
Domain decomposition methods
Eddy current field
Eddy currents
field-circuit coupling
finite element (FE) method
Finite element analysis
Finite element method
Gaging
graphics processors
Jacobian matrices
Magnetic domains
Magnetic vector potentials
Magnetism
Matrix decomposition
nonlinear
Nonlinear systems
Parallel processing
reduced magnetic vector potential
Simulation
Transmission line matrix methods
ISSN:0018-9464, 1941-0069
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract In this article, a novel edge-domain decomposition (EDD) method is proposed to solve 3-D nonlinear finite element (FE) problems of electromagnetic devices and transient field circuit co-simulation. The method applies reduced magnetic vector potential formulation to discretize the physical problem based on 3-D edge elements, and the solution region is divided into many sub-domains that only contain one edge unknown. The solution of lightweight nonlinear sub-domain systems can be massively parallelized, and the neighbor-to-neighbor communication scheme eliminates the need to assemble the global FE matrix. This article also introduces an indirect coupling scheme to handle large eddy currents to interface the EDD FE system with external circuits. The abovementioned algorithms are then implemented on a many-core GPU for transient field circuit co-simulation. The result shows an auto-gauging property, and the comparison with a commercial FE software indicates a speedup of over 43 times with relative error less than 2%.
AbstractList In this article, a novel edge-domain decomposition (EDD) method is proposed to solve 3-D nonlinear finite element (FE) problems of electromagnetic devices and transient field circuit co-simulation. The method applies reduced magnetic vector potential formulation to discretize the physical problem based on 3-D edge elements, and the solution region is divided into many sub-domains that only contain one edge unknown. The solution of lightweight nonlinear sub-domain systems can be massively parallelized, and the neighbor-to-neighbor communication scheme eliminates the need to assemble the global FE matrix. This article also introduces an indirect coupling scheme to handle large eddy currents to interface the EDD FE system with external circuits. The abovementioned algorithms are then implemented on a many-core GPU for transient field circuit co-simulation. The result shows an auto-gauging property, and the comparison with a commercial FE software indicates a speedup of over 43 times with relative error less than 2%.
Author Dinavahi, Venkata
Liu, Peng
Li, Jiacong
Author_xml – sequence: 1
  givenname: Jiacong
  orcidid: 0000-0002-2384-2302
  surname: Li
  fullname: Li, Jiacong
  organization: Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada
– sequence: 2
  givenname: Peng
  orcidid: 0000-0001-9215-8670
  surname: Liu
  fullname: Liu, Peng
  email: pliu3@ualberta.ca
  organization: Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada
– sequence: 3
  givenname: Venkata
  orcidid: 0000-0001-7438-9547
  surname: Dinavahi
  fullname: Dinavahi, Venkata
  organization: Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada
BookMark eNp9kM1rGzEQxUVxIE7SPyD0IshZ7uhrbR2NHaeFmBaa0uMi787GMtqVK2lDcuj_3vUHPeTQ0zDM-73HvCsy6kKHhNxymHAO5vPTev4wESBgIoFLruQHMuZGcQZQmBEZA_AZM6pQl-Qqpd2wKs1hTP6sbY7ula0iIr2vn5EtQ2tdR5dYhXYfkssudHSNeRtq2oRI1zYl94L-jX630XqPnkq2pCvXuTxYeGyxy_SHa3tvj-wvl7fDGX3NFi5Wvct0Efq9d93zDblorE_48Tyvyc_V_dPiC3v89vB1MX9klTAyM1srWRgpZhtbNBbkptI1aFMbXWnZNFpUqkCohVKbxmy0UmAFoCgGUaOERHlN7k6--xh-95hyuQt97IbIcoBUwYvpdDao-ElVxZBSxKbcR9fa-FZyKA8tl4eWy0PL5bnlgZm-YyqXj3_naJ3_L_npRDpE_JdkuJaghfwLIfmMJw
CODEN IEMGAQ
CitedBy_id crossref_primary_10_1016_j_measurement_2024_114644
crossref_primary_10_1109_TMAG_2021_3057124
crossref_primary_10_1109_TMAG_2022_3213190
crossref_primary_10_1016_j_measurement_2024_116078
crossref_primary_10_1109_TMAG_2023_3238413
Cites_doi 10.1109/TMAG.2008.2010041
10.1109/TMAG.2010.2044873
10.1109/TMAG.2019.2923535
10.1109/TMAG.2019.2903008
10.1109/TMAG.2018.2848622
10.1109/8.833077
10.1016/S1076-5670(08)70121-6
10.1109/TMAG.2011.2175905
10.1109/TPWRD.2008.2002699
10.1063/1.338584
10.1109/TPWRD.2018.2812753
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
7U5
8BQ
8FD
JG9
L7M
DOI 10.1109/TMAG.2020.3013143
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE/IET Electronic Library (IEL)
CrossRef
Electronics & Communications Abstracts
Solid State and Superconductivity Abstracts
METADEX
Technology Research Database
Materials Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Materials Research Database
Solid State and Superconductivity Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
METADEX
Electronics & Communications Abstracts
DatabaseTitleList Materials Research Database
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE/IET Electronic Library (IEL) (UW System Shared)
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Physics
EISSN 1941-0069
EndPage 9
ExternalDocumentID 10_1109_TMAG_2020_3013143
9153052
Genre orig-research
GrantInformation_xml – fundername: Natural Science and Engineering Research Council of Canada (NSERC)
  funderid: 10.13039/501100000038
GroupedDBID -~X
0R~
29I
4.4
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFO
ACGFS
ACIWK
ACNCT
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ASUFR
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
EJD
F5P
HZ~
H~9
IAAWW
IBMZZ
ICLAB
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
MS~
O9-
OCL
P2P
RIA
RIE
RNS
TN5
TWZ
VH1
VJK
XXG
AAYXX
CITATION
7SP
7U5
8BQ
8FD
JG9
L7M
ID FETCH-LOGICAL-c293t-ad4369328ba6fa03bc5d059d95c53ff52c46e0d244bf9b5440a20e26d05f423e3
IEDL.DBID RIE
ISICitedReferencesCount 10
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000571727700005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0018-9464
IngestDate Mon Jun 30 10:12:15 EDT 2025
Sat Nov 29 06:41:11 EST 2025
Tue Nov 18 22:11:37 EST 2025
Wed Aug 27 02:32:25 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed false
IsScholarly true
Issue 10
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
https://doi.org/10.15223/policy-029
https://doi.org/10.15223/policy-037
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c293t-ad4369328ba6fa03bc5d059d95c53ff52c46e0d244bf9b5440a20e26d05f423e3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0001-9215-8670
0000-0002-2384-2302
0000-0001-7438-9547
PQID 2444616778
PQPubID 85461
PageCount 9
ParticipantIDs proquest_journals_2444616778
crossref_primary_10_1109_TMAG_2020_3013143
crossref_citationtrail_10_1109_TMAG_2020_3013143
ieee_primary_9153052
PublicationCentury 2000
PublicationDate 2020-10-01
PublicationDateYYYYMMDD 2020-10-01
PublicationDate_xml – month: 10
  year: 2020
  text: 2020-10-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on magnetics
PublicationTitleAbbrev TMAG
PublicationYear 2020
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref13
ref12
ref14
ref11
jin (ref10) 2015
ref2
ref1
ref8
ref7
fujiwara (ref15) 1995
(ref3) 2018
ref9
ref4
ref6
widlund (ref5) 1989
References_xml – ident: ref14
  doi: 10.1109/TMAG.2008.2010041
– ident: ref13
  doi: 10.1109/TMAG.2010.2044873
– ident: ref7
  doi: 10.1109/TMAG.2019.2923535
– year: 2018
  ident: ref3
– ident: ref4
  doi: 10.1109/TMAG.2019.2903008
– year: 2015
  ident: ref10
  publication-title: The Finite Element Method in Electromagnetics
– ident: ref9
  doi: 10.1109/TMAG.2018.2848622
– year: 1989
  ident: ref5
  article-title: Towards a unified theory domain decomposition algorithms for elliptic problems
– year: 1995
  ident: ref15
  article-title: Advanced computational and design techniques in applied electromagnetic systems
– ident: ref6
  doi: 10.1109/8.833077
– ident: ref12
  doi: 10.1016/S1076-5670(08)70121-6
– ident: ref8
  doi: 10.1109/TMAG.2011.2175905
– ident: ref2
  doi: 10.1109/TPWRD.2008.2002699
– ident: ref11
  doi: 10.1063/1.338584
– ident: ref1
  doi: 10.1109/TPWRD.2018.2812753
SSID ssj0014510
Score 2.3660367
Snippet In this article, a novel edge-domain decomposition (EDD) method is proposed to solve 3-D nonlinear finite element (FE) problems of electromagnetic devices and...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1
SubjectTerms 3-D edge element
Algorithms
Circuits
Computer simulation
Coupling
Couplings
domain decomposition
Domain decomposition methods
Eddy current field
Eddy currents
field-circuit coupling
finite element (FE) method
Finite element analysis
Finite element method
Gaging
graphics processors
Jacobian matrices
Magnetic domains
Magnetic vector potentials
Magnetism
Matrix decomposition
nonlinear
Nonlinear systems
Parallel processing
reduced magnetic vector potential
Simulation
Transmission line matrix methods
Title Matrix-Free Edge-Domain Decomposition Method for Massively Parallel 3-D Finite Element Simulation With Field-Circuit Coupling
URI https://ieeexplore.ieee.org/document/9153052
https://www.proquest.com/docview/2444616778
Volume 56
WOSCitedRecordID wos000571727700005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIEE
  databaseName: IEEE/IET Electronic Library (IEL) (UW System Shared)
  customDbUrl:
  eissn: 1941-0069
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0014510
  issn: 0018-9464
  databaseCode: RIE
  dateStart: 19650101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Lb9QwEB6VCiR64NGCutAiHzghTJ3YeR2rfZQDW1WiQG-RXymRtrsom0Vw4L8z47grEAiJW6TYUZIvtr-JZ74P4KVuSofMWHNdkKi2kDjmslTxNDdSGJ8UZXBR-PiuOD8vr66qix14va2F8d6H5DP_hg7DXr5b2Q39KjupcHiKDCfcO0WRD7Va2x0DlSVDuUlSkm28ijuYiahOLuenZxgJphigkrqMkr-tQcFU5Y-ZOCwvs4f_d2OP4EGkkex0wP0x7PjlPuz9Ii64D_dCcqddH8CPOenwf-Ozzns2ddeeT1Y3ul2yiaeM8pi2xebBTJohi2VzpNQ4DS6-swvdkdvKgkk-YbOWGCqbDinn7H17E82_2Ke2_4yn_cLxcdvZTduz8WpD1b7XT-DDbHo5fsuj7QK3uPb3XDslc6R1pdF5o4U0NnNIwlyV2Uw2TZZalXvhkBeYpjKZUkKnwqc5NmqQnHn5FHaXq6U_BCbxvThZpNRfYWRotDYYILnKKHK-KkcgboGobdQkJ2uMRR1iE1HVhF1N2NURuxG82nb5Mghy_KvxAYG1bRhxGsHRLdp1HLLrGp9H5Qnp6T37e6_ncJ-uPWTyHcFu3238Mdy1X_t23b0IX-NPG5HaWw
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Nb9QwEB1VBQQc-GhBLBTwgRPC1ImdbHKs9oMiNqtKLNBb5NhOibTdRdksggP_nRnHXYFASNwixVY-Xmy_iWfeA3ih68wiM9ZcD0lUW0gcc0mseJxWUlQuGmbeReHjbDifZ-fn-dkevNrVwjjnfPKZe02Hfi_frs2WfpUd5zg8RYIT7rVEqVj01Vq7PQOVRH3BSZSRcbwKe5iRyI8XxckbjAVjDFFJX0bJ31Yhb6vyx1zsF5jp3f-7tXtwJxBJdtIjfx_23OoAbv8iL3gAN3x6p9kcwo-ClPi_8WnrHJvYC8fH60vdrNjYUU55SNxihbeTZshjWYGkGifC5Xd2plvyW1kyycds2hBHZZM-6Zy9by6D_Rf71HSf8bRbWj5qWrNtOjZab6ne9-IBfJhOFqNTHowXuMHVv-PaKpkiscsqndZayMokFmmYzROTyLpOYqNSJywyg6rOK8RC6Fi4OMVGNdIzJx_C_mq9co-ASXwvVg5j6q8wNqy0rjBEsnmlyPsqG4C4AqI0QZWczDGWpY9ORF4SdiVhVwbsBvBy1-VLL8nxr8aHBNauYcBpAEdXaJdh0G5KfB6VRqSo9_jvvZ7DzdNFMStnb-fvnsAtuk6f13cE-127dU_huvnaNZv2mf8yfwKfFt2i
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Matrix-Free+Edge-Domain+Decomposition+Method+for+Massively+Parallel+3-D+Finite+Element+Simulation+With+Field-Circuit+Coupling&rft.jtitle=IEEE+transactions+on+magnetics&rft.au=Li%2C+Jiacong&rft.au=Liu%2C+Peng&rft.au=Dinavahi%2C+Venkata&rft.date=2020-10-01&rft.issn=0018-9464&rft.eissn=1941-0069&rft.volume=56&rft.issue=10&rft.spage=1&rft.epage=9&rft_id=info:doi/10.1109%2FTMAG.2020.3013143&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_TMAG_2020_3013143
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9464&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9464&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9464&client=summon