Finite Element Algorithms and Data Structures on Graphical Processing Units

The finite element method (FEM) is one of the most commonly used techniques for the solution of partial differential equations on unstructured meshes. This paper discusses both the assembly and the solution phases of the FEM with special attention to the balance of computation and data movement. We...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	International journal of parallel programming Ročník 43; číslo 2; s. 203 - 239
Hlavní autori:	Reguly, I. Z., Giles, M. B.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Boston Springer US 01.04.2015 Springer Nature B.V
Predmet:	Algorithms Approximation Assembly Computation Computer architecture Computer Science Finite element analysis Finite element method Indexing Linear algebra Mathematical analysis Mathematical models Methods Partial differential equations Phases Processor Architectures Software Engineering/Programming and Operating Systems Sparsity Studies Theory of Computation Finite element method Preconditioned conjugate gradient method Sparse matrix-vector multiplication Performance analysis Graphical processing unit
ISSN:	0885-7458, 1573-7640
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Abstract	The finite element method (FEM) is one of the most commonly used techniques for the solution of partial differential equations on unstructured meshes. This paper discusses both the assembly and the solution phases of the FEM with special attention to the balance of computation and data movement. We present a GPU assembly algorithm that scales to arbitrary degree polynomials used as basis functions, at the expense of redundant computations. We show how the storage of the stiffness matrix affects the performance of both the assembly and the solution. We investigate two approaches: global assembly into the CSR and ELLPACK matrix formats and matrix-free algorithms, and show the trade-off between the amount of indexing data and stiffness data. We discuss the performance of different approaches in light of the implicit caches on Fermi GPUs and show a speedup over a two-socket 12-core CPU of up to 10 times in the assembly and up to 6 times in the solution phase. We present our sparse matrix-vector multiplication algorithms that are part of a conjugate gradient iteration and show that a matrix-free approach may be up to two times faster than global assembly approaches and up to 4 times faster than NVIDIA’s cuSPARSE library, depending on the preconditioner used.
AbstractList	The finite element method (FEM) is one of the most commonly used techniques for the solution of partial differential equations on unstructured meshes. This paper discusses both the assembly and the solution phases of the FEM with special attention to the balance of computation and data movement. We present a GPU assembly algorithm that scales to arbitrary degree polynomials used as basis functions, at the expense of redundant computations. We show how the storage of the stiffness matrix affects the performance of both the assembly and the solution. We investigate two approaches: global assembly into the CSR and ELLPACK matrix formats and matrix-free algorithms, and show the trade-off between the amount of indexing data and stiffness data. We discuss the performance of different approaches in light of the implicit caches on Fermi GPUs and show a speedup over a two-socket 12-core CPU of up to 10 times in the assembly and up to 6 times in the solution phase. We present our sparse matrix-vector multiplication algorithms that are part of a conjugate gradient iteration and show that a matrix-free approach may be up to two times faster than global assembly approaches and up to 4 times faster than NVIDIA's cuSPARSE library, depending on the preconditioner used.
Author	Reguly, I. Z. Giles, M. B.
Author_xml	– sequence: 1 givenname: I. Z. surname: Reguly fullname: Reguly, I. Z. email: istvan.reguly@oerc.ox.ac.uk organization: Pázmány Péter Catholic University, Oxford e-Research Centre – sequence: 2 givenname: M. B. surname: Giles fullname: Giles, M. B. organization: Oxford e-Research Centre
BookMark	eNp9kD1rHDEQQEVwIGcnPyCdII2btUer08eWxl8xNjiQuBazyuxZZk-6SNoi_946LkUwJJWa92ZG75gdxRSJsc8CzgSAOS8CjNYdCNmBBNHpd2wllJGd0Ws4YiuwVnVmrewHdlzKCwAMxtoVu78JMVTi1zNtKVZ-MW9SDvV5WzjGn_wKK_LvNS--LpkKT5HfZtw9B48z_5aTp1JC3PCnNqR8ZO8nnAt9-vOesKeb6x-XX7uHx9u7y4uHzkvb104qj5p6P8mpB21QDx7J63ESuJ6Q1hYmM0ghcexB9sKOdlKIY_sHKTMakifs9DB3l9OvhUp121A8zTNGSktxQuthADUYaOiXN-hLWnJs1zVKqdbD9HtKHCifUymZJrfLYYv5txPg9nndIa9red0-r9PNMW8cHyrWkGLNGOb_mv3BLG1L3FD-66Z_Sq_aTpAj
CODEN	IJPPE5
CitedBy_id	crossref_primary_10_1016_j_cma_2022_115276 crossref_primary_10_1016_j_parco_2023_103051 crossref_primary_10_1111_cgf_13144 crossref_primary_10_1016_j_cma_2024_117076 crossref_primary_10_1016_j_cma_2024_117296 crossref_primary_10_1007_s12046_018_0892_0 crossref_primary_10_1016_j_jcde_2018_11_001 crossref_primary_10_1016_j_cpc_2020_107495 crossref_primary_10_1016_j_ijmecsci_2020_105634 crossref_primary_10_1007_s00607_020_00827_4 crossref_primary_10_1145_3503925 crossref_primary_10_1109_ACCESS_2020_2973669 crossref_primary_10_3390_app10010058 crossref_primary_10_1002_nme_6383 crossref_primary_10_1016_j_jpdc_2019_07_011 crossref_primary_10_3390_jrfm16080373
Cites_doi	10.1016/j.jcp.2005.01.005 10.1007/s00450-010-0109-1 10.1145/882262.882364 10.1137/0724090 10.1007/BF01399315 10.1002/nme.2989 10.1016/j.jpdc.2009.01.006 10.1016/j.procs.2010.04.203 10.1016/j.compfluid.2010.08.012 10.1016/j.parco.2011.08.003 10.1016/j.parco.2011.08.001
ContentType	Journal Article
Copyright	Springer Science+Business Media New York 2013 Springer Science+Business Media New York 2015
Copyright_xml	– notice: Springer Science+Business Media New York 2013 – notice: Springer Science+Business Media New York 2015
DBID	AAYXX CITATION 3V. 7SC 7WY 7WZ 7XB 87Z 8AL 8FD 8FE 8FG 8FK 8FL 8G5 ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- L.- L.0 L7M L~C L~D M0C M0N M2O MBDVC P5Z P62 PHGZM PHGZT PKEHL PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI Q9U
DOI	10.1007/s10766-013-0301-6
DatabaseName	CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts ProQuest ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni) Research Library (Alumni) ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials Local Electronic Collection Information ProQuest Central ProQuest Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student Research Library Prep SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database ABI/INFORM Professional Advanced ABI/INFORM Professional Standard Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Computing Database Research Library Research Library (Corporate) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Business (OCUL) ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central Basic
DatabaseTitle	CrossRef ABI/INFORM Global (Corporate) ProQuest Business Collection (Alumni Edition) ProQuest One Business Research Library Prep Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College Research Library (Alumni Edition) ABI/INFORM Complete ProQuest Central ABI/INFORM Professional Advanced ProQuest One Applied & Life Sciences ABI/INFORM Professional Standard ProQuest Central Korea ProQuest Research Library ProQuest Central (New) Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection ProQuest Business Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition ProQuest One Business (Alumni) ProQuest One Academic ProQuest One Academic (New) ProQuest Central (Alumni) Business Premium Collection (Alumni)
DatabaseTitleList	ABI/INFORM Global (Corporate) Computer and Information Systems Abstracts
Database_xml	– sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Computer Science
EISSN	1573-7640
EndPage	239
ExternalDocumentID	3592886671 10_1007_s10766_013_0301_6
Genre	Feature
GroupedDBID	-4Z -59 -5G -BR -EM -Y2 -~C -~X .4S .86 .DC .VR 06D 0R~ 0VY 199 1N0 2.D 203 28- 29J 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 78A 7WY 8FE 8FG 8FL 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AAOBN AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYJJ AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDBF ABDPE ABDZT ABECU ABFSI ABFTD ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBXY ACDTI ACGFO ACGFS ACHSB ACHXU ACIHN ACKNC ACMDZ ACMLO ACNCT ACOKC ACOMO ACPIV ACREN ACUHS ACZOJ ADHIR ADINQ ADKNI ADKPE ADMLS ADRFC ADTPH ADURQ ADYFF ADYOE ADZKW AEAQA AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFKRA AFLOW AFQWF AFWTZ AFYQB AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMTXH AMXSW AMYLF AOCGG ARAPS ARCSS ARMRJ AXYYD AYJHY AZFZN AZQEC B-. B0M BA0 BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BKOMP BPHCQ BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 DWQXO E.L EAD EAP EAS EBLON EBS EDO EIOEI EJD EMK EPL ESBYG ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GROUPED_ABI_INFORM_RESEARCH GUQSH GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ H~9 I-F I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV KOW LAK LLZTM M0C M0N M2O M4Y MA- MS~ N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P62 P9O PF0 PQBIZ PQBZA PQQKQ PROAC PT4 PT5 Q2X QOK QOS R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCJ SCLPG SCO SDH SDM SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TAE TEORI TN5 TSG TSK TSV TUC TUS U2A U5U UG4 UOJIU UTJUX UZXMN VC2 VFIZW VXZ W23 W48 WH7 WK8 YLTOR Z45 Z7R Z7X Z81 Z83 Z88 Z8R Z8W Z92 ZMTXR ZY4 ~8M ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION PHGZM PHGZT PQGLB 7SC 7XB 8AL 8FD 8FK JQ2 L.- L.0 L7M L~C L~D MBDVC PKEHL PQEST PQUKI Q9U PUEGO
ID	FETCH-LOGICAL-c382t-35ca6e2cf3f2067a69caec6bf1a4fae480f79313ab203218b8f5aab640e57b7e3
IEDL.DBID	K7-
ISICitedReferencesCount	20
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000349887300003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0885-7458
IngestDate	Thu Sep 04 20:22:04 EDT 2025 Tue Nov 04 21:59:57 EST 2025 Sat Nov 29 01:59:42 EST 2025 Tue Nov 18 21:49:55 EST 2025 Fri Feb 21 02:37:20 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	2
Keywords	Finite element method Preconditioned conjugate gradient method Sparse matrix-vector multiplication Performance analysis Graphical processing unit
Language	English
License	http://www.springer.com/tdm
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c382t-35ca6e2cf3f2067a69caec6bf1a4fae480f79313ab203218b8f5aab640e57b7e3
Notes	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23
PQID	1655458720
PQPubID	48389
PageCount	37
ParticipantIDs	proquest_miscellaneous_1669905970 proquest_journals_1655458720 crossref_primary_10_1007_s10766_013_0301_6 crossref_citationtrail_10_1007_s10766_013_0301_6 springer_journals_10_1007_s10766_013_0301_6
PublicationCentury	2000
PublicationDate	2015-04-01
PublicationDateYYYYMMDD	2015-04-01
PublicationDate_xml	– month: 04 year: 2015 text: 2015-04-01 day: 01
PublicationDecade	2010
PublicationPlace	Boston
PublicationPlace_xml	– name: Boston – name: New York
PublicationTitle	International journal of parallel programming
PublicationTitleAbbrev	Int J Parallel Prog
PublicationYear	2015
Publisher	Springer US Springer Nature B.V
Publisher_xml	– name: Springer US – name: Springer Nature B.V
References	Hwu (CR14) 2011 Johnson (CR15) 1987 Bolz, Farmer, Grinspun, Schröder (CR4) 2003; 22 Komatitsch, Göddeke, Erlebacher, Michéa (CR16) 2010; 25 CR19 CR18 CR13 CR12 CR11 Cecka, Lew, Darve (CR6) 2011; 85 Fidkowski, Oliver, Lu, Darmofal (CR10) 2005; 207 Komatitsch, Micha, Erlebacher (CR17) 2009; 69 CR3 CR5 CR8 CR7 CR9 Poole, Ortega (CR24) 1987; 24 CR27 CR26 CR25 CR23 CR22 Axelsson (CR2) 1996 CR21 CR20 Alefeld (CR1) 1982; 39 O Axelsson (301_CR2) 1996 301_CR13 301_CR11 301_CR12 C Johnson (301_CR15) 1987 EL Poole (301_CR24) 1987; 24 301_CR26 301_CR27 301_CR25 J Bolz (301_CR4) 2003; 22 301_CR22 301_CR23 KJ Fidkowski (301_CR10) 2005; 207 301_CR20 301_CR21 G Alefeld (301_CR1) 1982; 39 C Cecka (301_CR6) 2011; 85 WmW Hwu (301_CR14) 2011 301_CR7 301_CR9 301_CR8 301_CR3 301_CR19 301_CR5 D Komatitsch (301_CR16) 2010; 25 301_CR17 301_CR18
References_xml	– volume: 69 start-page: 451 issue: 5 year: 2009 end-page: 460 ident: CR17 article-title: Porting a high-order finite-element earthquake modeling application to NVIDIA graphics cards using CUDA publication-title: Journal of Parallel and Distributed Computing – ident: CR22 – ident: CR18 – volume: 207 start-page: 92 issue: 1 year: 2005 end-page: 113 ident: CR10 article-title: p-multigrid solution of high-order discontinuous galerkin discretizations of the compressible navier-stokes equations publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2005.01.005 – ident: CR12 – volume: 25 start-page: 75 issue: 1–2 year: 2010 end-page: 82 ident: CR16 article-title: Modeling the propagation of elastic waves using spectral elements on a cluster of 192 GPUs publication-title: Computer Science Research and Development doi: 10.1007/s00450-010-0109-1 – ident: CR8 – ident: CR25 – ident: CR27 – ident: CR23 – volume: 22 start-page: 917 year: 2003 end-page: 924 ident: CR4 article-title: Sparse matrix solvers on the GPU: Conjugate gradients and multigrid publication-title: ACM Transactions on Graphics doi: 10.1145/882262.882364 – year: 1987 ident: CR15 publication-title: Numerical Solution of Partial Differential Equations by the Finite Element Method – ident: CR21 – ident: CR19 – year: 1996 ident: CR2 publication-title: Iterative Solution Methods – ident: CR3 – ident: CR13 – ident: CR11 – year: 2011 ident: CR14 publication-title: GPU Computing Gems Emerald Edition – ident: CR9 – volume: 24 start-page: 1394 issue: 6 year: 1987 end-page: 1418 ident: CR24 article-title: Multicolor ICCG Methods for Vector Computers publication-title: SIAM Journal on Numerical Analysis doi: 10.1137/0724090 – volume: 39 start-page: 113 issue: 1 year: 1982 end-page: 117 ident: CR1 article-title: On the convergence of the symmetric sor method for matrices with red-black ordering publication-title: Numerische Mathematik doi: 10.1007/BF01399315 – volume: 85 start-page: 640 issue: 5 year: 2011 end-page: 669 ident: CR6 article-title: Assembly of finite element methods on graphics processors publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.2989 – ident: CR5 – ident: CR7 – ident: CR26 – ident: CR20 – ident: 301_CR8 – ident: 301_CR17 doi: 10.1016/j.jpdc.2009.01.006 – volume: 22 start-page: 917 year: 2003 ident: 301_CR4 publication-title: ACM Transactions on Graphics doi: 10.1145/882262.882364 – ident: 301_CR18 doi: 10.1016/j.procs.2010.04.203 – volume-title: GPU Computing Gems Emerald Edition year: 2011 ident: 301_CR14 – ident: 301_CR5 doi: 10.1016/j.compfluid.2010.08.012 – ident: 301_CR20 – volume: 24 start-page: 1394 issue: 6 year: 1987 ident: 301_CR24 publication-title: SIAM Journal on Numerical Analysis doi: 10.1137/0724090 – ident: 301_CR22 – ident: 301_CR26 – ident: 301_CR25 – ident: 301_CR27 doi: 10.1016/j.parco.2011.08.003 – volume: 207 start-page: 92 issue: 1 year: 2005 ident: 301_CR10 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2005.01.005 – ident: 301_CR12 doi: 10.1016/j.parco.2011.08.001 – ident: 301_CR3 – volume-title: Numerical Solution of Partial Differential Equations by the Finite Element Method year: 1987 ident: 301_CR15 – ident: 301_CR9 – ident: 301_CR7 – ident: 301_CR19 – ident: 301_CR13 – volume: 25 start-page: 75 issue: 1–2 year: 2010 ident: 301_CR16 publication-title: Computer Science Research and Development doi: 10.1007/s00450-010-0109-1 – ident: 301_CR11 – volume: 85 start-page: 640 issue: 5 year: 2011 ident: 301_CR6 publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.2989 – volume: 39 start-page: 113 issue: 1 year: 1982 ident: 301_CR1 publication-title: Numerische Mathematik doi: 10.1007/BF01399315 – volume-title: Iterative Solution Methods year: 1996 ident: 301_CR2 – ident: 301_CR21 – ident: 301_CR23
SSID	ssj0009788
Score	2.167492
Snippet	The finite element method (FEM) is one of the most commonly used techniques for the solution of partial differential equations on unstructured meshes. This...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	203
SubjectTerms	Algorithms Approximation Assembly Computation Computer architecture Computer Science Finite element analysis Finite element method Indexing Linear algebra Mathematical analysis Mathematical models Methods Partial differential equations Phases Processor Architectures Software Engineering/Programming and Operating Systems Sparsity Studies Theory of Computation
SummonAdditionalLinks	– databaseName: SpringerLINK Contemporary 1997-Present dbid: RSV link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3dS8MwEA86ffDF-YnTKRF8UgJt06bt49BNQRnidOytXGOig9nK2vn3e-nHpqKCPveahLtc7ndc8jtCTjT4GOVsxUArl7kSExQE1YphcOMaHHT1omfk8Mbv94PRKLyt3nFn9W33uiRZnNQfHrv5wmS_nBkYz8QyWcFoFxhvvBsMF0y7ftFsEr3HY77rBXUp87shPgejBcL8UhQtYk2v-a9VbpD1ClrSTrkXNsmSSrZIs27bQCsv3ibXvbEBmrRb3hynnclTOh3nzy8ZheSRXkAOdFDQys4wF6dpQi8Nq7WxJq3eFeCKqEGr2Q556HXvz69Y1VOBSR44OeOeBKEcqbk2xO0gQglKiljb4GpQbmBp9FibQ2xaq9tBHGgPIBaupTw_9hXfJY0kTdQeoahckFzZMUIUF1EIKCMILsQqjIPQahGrVm4kK8Jx0_diEi2oko2yIlRWZJQViRY5nf_yWrJt_Cbcri0WVY6XRbbwTCnQd3D64_lndBlTB4FEpTMjIzAGYyaFMme1FT8M8dOE-3-SPiBrCK688pZPmzTQbuqQrMq3fJxNj4o9-w4nOuWZ priority: 102 providerName: Springer Nature
Title	Finite Element Algorithms and Data Structures on Graphical Processing Units
URI	https://link.springer.com/article/10.1007/s10766-013-0301-6 https://www.proquest.com/docview/1655458720 https://www.proquest.com/docview/1669905970
Volume	43
WOSCitedRecordID	wos000349887300003&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: PRVPQU databaseName: ABI/INFORM Collection customDbUrl: eissn: 1573-7640 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009788 issn: 0885-7458 databaseCode: 7WY dateStart: 19970201 isFulltext: true titleUrlDefault: https://www.proquest.com/abicomplete providerName: ProQuest – providerCode: PRVPQU databaseName: ABI/INFORM Global (OCUL) customDbUrl: eissn: 1573-7640 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009788 issn: 0885-7458 databaseCode: M0C dateStart: 19970201 isFulltext: true titleUrlDefault: https://search.proquest.com/abiglobal providerName: ProQuest – providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1573-7640 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009788 issn: 0885-7458 databaseCode: P5Z dateStart: 19970201 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Computer Science Database customDbUrl: eissn: 1573-7640 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009788 issn: 0885-7458 databaseCode: K7- dateStart: 19970201 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1573-7640 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009788 issn: 0885-7458 databaseCode: BENPR dateStart: 19970201 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Research Library customDbUrl: eissn: 1573-7640 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009788 issn: 0885-7458 databaseCode: M2O dateStart: 19970201 isFulltext: true titleUrlDefault: https://search.proquest.com/pqrl providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLINK Contemporary 1997-Present customDbUrl: eissn: 1573-7640 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0009788 issn: 0885-7458 databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dT9wwDLcG7IGXsQ0Qx9gpSHsCRetn0ntCjN1tEttxgo0BL5WbSxgS9Bg99vfPblMOkMYLL36pk7ZxHNtx4h_AB4earFxoJTqbyMRQgEJOtZVk3GKHEal6jRl5_E0Ph9nJSW_kN9wqf6yyXRPrhXo8MbxH_jFUKed4dBTsXP-RjBrF2VUPoTEHC2EUhTzP97WcFd3VNe4kKVIqNTVus5rN1TmtOJaOJQcFUj20SzNn81F-tDY7g6XnfvBreOUdTrHbzJA38MKWb2GpBXMQXreXYX9wwe6n6DfnycXu5Tn1Nv19VQksx-IzTlEc1cVmbylCF5NSfOFa1yxj4W8b0A8I9mGrFfg56P_Y-yo90oI0cRZNZZwaVDYyLnZczh1Vz6A1qnAhJg5tkgWO9DiMsWDA9TArMpciFioJbKoLbeNVmC8npV0DQeOMJrZhQY5LQr4JWmbEBAvbK7Je0IGgHefc-DLkjIZxmc8KKLNochJNzqLJVQe27ppcNzU4nmLeaMWRe3Ws8pksOrB595gUibMjWNrJLfMosswUXxHPdiv0e13874XrT7_wHSySj5U2h302YJ4EZd_DS_N3elHddGFO_zrtwsKn_nB02K1nL9HvwR7T6IDoKD0jenh0_A-8y_aT
linkProvider	ProQuest
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LTxRBEK4gmMhF8EFcRW0TvWg6zKOnZ_ZgDAFWyK4bE9FwG2qaaiHBWWQWCX_K32jVPFgkkRsHz1PT3dP16K-mqqsAXntM-ZQLSaMno41jB4VBNWk-3GKPEat63TPy2ygdj7O9vf7nOfjd3YWRtMrOJtaG-mDi5B_5WmgTifGkUfDh5KeWrlESXe1aaDRiMaSLc3bZqvc7m8zfN1E02Nrd2NZtVwHt4iya6jhxaClyPvZSuhxt3yE5W_gQjUcyWeBZZsMYC2kuHmZF5hPEwpqAkrRIKeZx78CCMawOkioYbMyK_KZ1n0tW3ESnvNguitpc1Uut-O6xFidE27_PwRm4vRaPrY-5wdL_tkHLcL8F1Gq90YAHMEflQ1jqmlWo1nY9guHgSOC12mry5dX68Xde_fTwR6WwPFCbOEX1pS6me3ZKlZqU6qPU8hYZVu1tCt4wJRi9egxfb-WTVmC-nJT0BBTzFV1MYcHAzDD2QhJCNFhQv8j6QQ-Cjq-5a8usS7eP43xWIFpEIWdRyEUUctuDt5evnDQ1Rm4iXu3Yn7fmpspnvO_Bq8vHbCgk-oMlTc6ExjLyYP-Rad51QnZliH9N-PTmCV_Cve3dT6N8tDMePoNFxpNJk9i0CvPMNHoOd92v6VF1-qLWFQX7ty17fwB9VE7i
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LTxRBEK4gGsNF8BVXENtEL5oO8-yePRhDXFbJks0mPkK8jDVNtZDALDALhL_mr7NqHqyayI2D5-np7un-quqrqe4qgJceLVu5kDR6SnTi2EFhUk2ajVvsMWJRr2tGft2x43G2u9ufLMDP7i6MHKvsdGKtqPemTv6Rb4QmlRiPjYIN3x6LmAyG745PtFSQkkhrV06jgciILi_Yfavebg94r19F0XDr8_uPuq0woF2cRTMdpw4NRc7HXtKYo-k7JGcKH2LikZIs8IzfMMZCCo2HWZH5FLEwSUCpLSzF3O8tuG3ZxxTHb5J-myf8tXXNSxbiVFueeBdRba7tWSN-fKzFIdHmT5s4J7p_xWZrkzdc_p8XawXutURbbTaScR8WqHwAy10RC9XqtIcwGh4I7VZbzTl6tXn4g2c_2z-qFJZ7aoAzVJ_qJLtnp1Spaak-SI5vwbZqb1nw4inh7tUj-HIjn_QYFstpSU9A8R6jiyksmLAlzMmQpCEmWFC_yPpBD4Juj3PXpl-XKiCH-TxxtMAiZ1jkAovc9OD11SvHTe6R6xqvdVDIWzVU5XMc9ODF1WNWIBIVwpKmZ9LGMCNhv5LbvOkA91sX_xrw6fUDPoe7DLl8Z3s8WoUlpplpc95pDRZ5z-gZ3HHns4PqdL0WGwXfbxp6vwAONVfz
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=Finite+Element+Algorithms+and+Data+Structures+on+Graphical+Processing+Units&rft.jtitle=International+journal+of+parallel+programming&rft.au=Reguly%2C+I.+Z.&rft.au=Giles%2C+M.+B.&rft.date=2015-04-01&rft.issn=0885-7458&rft.eissn=1573-7640&rft.volume=43&rft.issue=2&rft.spage=203&rft.epage=239&rft_id=info:doi/10.1007%2Fs10766-013-0301-6&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10766_013_0301_6
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0885-7458&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0885-7458&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0885-7458&client=summon