A domain decomposition method of stochastic PDEs: An iterative solution techniques using a two-level scalable preconditioner
Recent advances in high performance computing systems and sensing technologies motivate computational simulations with extremely high resolution models with capabilities to quantify uncertainties for credible numerical predictions. A two-level domain decomposition method is reported in this investig...
Uložené v:
| Vydané v: | Journal of computational physics Ročník 257; číslo Part A; s. 298 - 317 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
United States
Elsevier Inc
15.01.2014
|
| Predmet: | |
| ISSN: | 0021-9991, 1090-2716 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | Recent advances in high performance computing systems and sensing technologies motivate computational simulations with extremely high resolution models with capabilities to quantify uncertainties for credible numerical predictions. A two-level domain decomposition method is reported in this investigation to devise a linear solver for the large-scale system in the Galerkin spectral stochastic finite element method (SSFEM). In particular, a two-level scalable preconditioner is introduced in order to iteratively solve the large-scale linear system in the intrusive SSFEM using an iterative substructuring based domain decomposition solver. The implementation of the algorithm involves solving a local problem on each subdomain that constructs the local part of the preconditioner and a coarse problem that propagates information globally among the subdomains. The numerical and parallel scalabilities of the two-level preconditioner are contrasted with the previously developed one-level preconditioner for two-dimensional flow through porous media and elasticity problems with spatially varying non-Gaussian material properties. A distributed implementation of the parallel algorithm is carried out using MPI and PETSc parallel libraries. The scalabilities of the algorithm are investigated in a Linux cluster. |
|---|---|
| AbstractList | Recent advances in high performance computing systems and sensing technologies motivate computational simulations with extremely high resolution models with capabilities to quantify uncertainties for credible numerical predictions. A two-level domain decomposition method is reported in this investigation to devise a linear solver for the large-scale system in the Galerkin spectral stochastic finite element method (SSFEM). In particular, a two-level scalable preconditioner is introduced in order to iteratively solve the large-scale linear system in the intrusive SSFEM using an iterative substructuring based domain decomposition solver. The implementation of the algorithm involves solving a local problem on each subdomain that constructs the local part of the preconditioner and a coarse problem that propagates information globally among the subdomains. The numerical and parallel scalabilities of the two-level preconditioner are contrasted with the previously developed one-level preconditioner for two-dimensional flow through porous media and elasticity problems with spatially varying non-Gaussian material properties. A distributed implementation of the parallel algorithm is carried out using MPI and PETSc parallel libraries. The scalabilities of the algorithm are investigated in a Linux cluster. |
| Author | Subber, Waad Sarkar, Abhijit |
| Author_xml | – sequence: 1 givenname: Waad surname: Subber fullname: Subber, Waad email: wsubber@connect.carleton.ca – sequence: 2 givenname: Abhijit surname: Sarkar fullname: Sarkar, Abhijit email: abhijit_sarkar@carleton.ca |
| BackLink | https://www.osti.gov/biblio/22230842$$D View this record in Osti.gov |
| BookMark | eNqNkU9v1DAQxS1UJLaFD8DNEhcuSf0viQ2nVSkFqRIcere89oT1KrGD7V2ExIfH6XLiUDjN5f1m5r13iS5CDIDQa0paSmh_fWgPdmkZobwlsiWdfIY2lCjSsIH2F2hDCKONUoq-QJc5HwghshNyg35tsYuz8QE7sHFeYvbFx4BnKPvocBxxLtHuTS7e4q8fbvM7vA3YF0im-BPgHKfjI1DA7oP_foSMj9mHb9jg8iM2E5xgwtmayewmwEuqV4J7vAHpJXo-minDqz_zCj18vH24-dTcf7n7fLO9b6xgojSdI7yzpqOE74Thu4F3auiZVZK6aktaLoWUZEfHru8HZYQZJXeWgXLj6Cy_Qm_Oa2N1obP166_1jQC2aMYYJ1Kwqnp7Vi0prjaKnn22ME0mQDxmTfthUFII3v-PlHaq7lX_lnbVlpBU0iqlZ6lNMecEo16Sn036qSnRa8n6oGvJei1ZE6lryZUZ_mKqO7OmW5Lx05Pk-zMJNfiTh7QGA8GC82nNxUX_BP0bsMnDwg |
| CitedBy_id | crossref_primary_10_1016_j_cma_2013_12_016 crossref_primary_10_1016_j_camwa_2016_01_006 crossref_primary_10_1016_j_cma_2018_04_043 crossref_primary_10_1016_j_jcp_2018_01_019 crossref_primary_10_1016_j_compstruc_2017_09_011 crossref_primary_10_1016_j_cma_2016_08_023 crossref_primary_10_1016_j_cma_2020_113060 crossref_primary_10_1016_j_cma_2017_09_006 crossref_primary_10_1016_j_cma_2021_113845 crossref_primary_10_1137_24M1685699 crossref_primary_10_1007_s12666_019_01757_2 crossref_primary_10_1016_j_cma_2023_116538 crossref_primary_10_1002_nme_6571 crossref_primary_10_1016_j_cma_2017_07_011 crossref_primary_10_1137_20M1345645 crossref_primary_10_1007_s11831_019_09394_0 |
| Cites_doi | 10.1016/j.strusafe.2006.07.015 10.1146/annurev.fluid.010908.165248 10.1088/1742-6596/256/1/012001 10.1006/jcph.2002.7176 10.1002/nme.2595 10.1002/1099-1506(200010/12)7:7/8<687::AID-NLA219>3.0.CO;2-S 10.1016/j.jcp.2006.01.037 10.1137/080742853 10.21914/anziamj.v50i0.1410 10.1016/j.apnum.2004.09.022 10.1002/nme.1404 10.1002/nla.568 10.1016/j.cma.2013.07.007 10.1017/S0962492900002427 10.1115/1.2791806 10.1002/nme.2579 10.1016/S0045-7825(98)00106-6 10.1016/j.cma.2004.04.008 10.1007/s11831-009-9034-5 10.1016/S0965-9978(00)00034-X 10.1088/1742-6596/341/1/012033 10.1016/j.cma.2004.05.027 10.1016/S0045-7825(02)00354-7 10.1016/j.fluiddyn.2005.12.003 10.1016/j.cma.2008.02.030 10.1016/0045-7825(95)00909-4 10.1016/j.cma.2008.11.007 10.1137/080727026 10.1615/Int.J.UncertaintyQuantification.v1.i1.20 10.1137/050645142 10.1137/060663660 10.1093/imanum/drm006 10.1137/040615201 10.1002/nme.2431 10.1007/s00791-011-0160-x 10.1016/S0045-7825(03)00457-2 10.1007/s00211-011-0377-0 10.1093/imanum/drn014 |
| ContentType | Journal Article |
| Copyright | 2013 Elsevier Inc. |
| Copyright_xml | – notice: 2013 Elsevier Inc. |
| DBID | AAYXX CITATION 7SC 7SP 7U5 8FD JQ2 L7M L~C L~D OTOTI |
| DOI | 10.1016/j.jcp.2013.08.058 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Electronics & Communications Abstracts Solid State and Superconductivity Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional OSTI.GOV |
| DatabaseTitle | CrossRef Technology Research Database Computer and Information Systems Abstracts – Academic Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Solid State and Superconductivity Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Technology Research Database Technology Research Database Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering |
| EISSN | 1090-2716 |
| EndPage | 317 |
| ExternalDocumentID | 22230842 10_1016_j_jcp_2013_08_058 S0021999113006025 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 4.4 457 4G. 5GY 5VS 6OB 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO AAYFN ABBOA ABFRF ABJNI ABMAC ABNEU ABXDB ABYKQ ACBEA ACDAQ ACFVG ACGFO ACGFS ACNCT ACRLP ACZNC ADBBV ADEZE AEBSH AEFWE AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHZHX AIALX AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD AXJTR BKOJK BLXMC CS3 DM4 DU5 EBS EFBJH EFLBG EO8 EO9 EP2 EP3 F5P FDB FEDTE FIRID FNPLU FYGXN G-Q GBLVA GBOLZ HLZ HVGLF IHE J1W K-O KOM LG5 LX9 LZ4 M37 M41 MO0 N9A O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 RIG RNS ROL RPZ SDF SDG SDP SES SPC SPCBC SPD SSQ SSV SSZ T5K TN5 UPT YQT ZMT ZU3 ~02 ~G- 29K 6TJ 8WZ 9DU A6W AAQXK AATTM AAXKI AAYWO AAYXX ABFNM ABWVN ACLOT ACNNM ACRPL ACVFH ADCNI ADFGL ADIYS ADJOM ADMUD ADNMO AEIPS AEUPX AFFNX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN BBWZM CAG CITATION COF D-I EFKBS EJD FGOYB G-2 HME HMV HZ~ NDZJH R2- SBC SEW SHN SPG T9H UQL WUQ ZY4 ~HD 7SC 7SP 7U5 8FD JQ2 L7M L~C L~D AALMO ABPIF ABPTK ABQIS EFJIC OTOTI |
| ID | FETCH-LOGICAL-c424t-5d035ca5103b4a3b7359762c981d0218c384880b1f56679a4af83dc2e9dffdc3 |
| ISICitedReferencesCount | 24 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000327483200014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0021-9991 |
| IngestDate | Thu May 18 22:30:47 EDT 2023 Thu Oct 02 10:21:09 EDT 2025 Thu Nov 20 07:40:56 EST 2025 Sat Sep 27 19:09:10 EDT 2025 Sat Nov 29 06:46:06 EST 2025 Tue Nov 18 21:38:06 EST 2025 Fri Feb 23 02:18:55 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | Part A |
| Keywords | Domain decomposition method Balancing domain decomposition by constraints Stochastic PDEs Neumann–Neumann preconditioner Stochastic finite element method Polynomial chaos expansion Schur complement system |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c424t-5d035ca5103b4a3b7359762c981d0218c384880b1f56679a4af83dc2e9dffdc3 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 ObjectType-Article-1 ObjectType-Feature-2 |
| PQID | 1551048181 |
| PQPubID | 23500 |
| PageCount | 20 |
| ParticipantIDs | osti_scitechconnect_22230842 proquest_miscellaneous_1677984436 proquest_miscellaneous_1671592309 proquest_miscellaneous_1551048181 crossref_primary_10_1016_j_jcp_2013_08_058 crossref_citationtrail_10_1016_j_jcp_2013_08_058 elsevier_sciencedirect_doi_10_1016_j_jcp_2013_08_058 |
| PublicationCentury | 2000 |
| PublicationDate | 2014-01-15 |
| PublicationDateYYYYMMDD | 2014-01-15 |
| PublicationDate_xml | – month: 01 year: 2014 text: 2014-01-15 day: 15 |
| PublicationDecade | 2010 |
| PublicationPlace | United States |
| PublicationPlace_xml | – name: United States |
| PublicationTitle | Journal of computational physics |
| PublicationYear | 2014 |
| Publisher | Elsevier Inc |
| Publisher_xml | – name: Elsevier Inc |
| References | Najm (br0200) 2009; 41 Matthies, Keese (br0210) 2005; 194 Smith, Bjorstad, Gropp (br0510) 1996 Ghanem, Spanos (br0120) 1991 Xiu, Hesthaven (br0040) 2005; 27 Frauenfelder, Schwab, Todor (br0630) 2005; 194 Jakeman, Roberts (br0080) 2008; 50 Keese, Matthies (br0290) 2004 Sarkar, Benabbou, Ghanem (br0370) 2009; 77 Subber, Sarkar (br0410) 2013; vol. 91 Cliffe, Giles, Scheichl, Teckentrup (br0030) 2011; 14 Geuzaine (br0590) 2009; 79 Subber (br0430) 2012 Ghanem (br0670) 1999; 66 Keese (br0140) 2003 Schevenels, Lombaert, Degrande (br0150) 2004 Elman, Furnival (br0340) 2007; 27 Farhat, Lesoinne, Pierson (br0560) 2000; 7 Xiu (br0110) 2007; 2 Rosseel, Vandewalle (br0260) 2010; 32 (br0470) 2009 Toselli, Widlund (br0490) 2005; vol. 34 Mandel, Dohrmann, Tezaur (br0570) 2005; 54 Kino, Maitre (br0160) 2006; 38 Chung, Gutiérrez, Graham-Brady, Lingen (br0360) 2005; 64 Subber, Sarkar (br0380) 2010; vol. 5976 Babuska, Nobile, Tempone (br0050) 2007; 45 Balay, Buschelman, Gropp, Kaushik, Knepley, McInnes, Smith, Zhang (br0460) 2009 Kelley (br0540) 1995 Ghanem, Saad, Doostan (br0650) 2007; 29 Cros (br0440) 2003 Elman, Miller, Phipps, Tuminaro (br0090) 2011; 1 Ullmann (br0320) 2010; 32 Ghanem (br0130) 1999; 168 Subber, Sarkar (br0390) 2013 Subber, Sarkar (br0400) 2010; 256 Quarteroni, Valli (br0500) 1999 Dostert, Efendiev, Hou (br0180) 2008; 197 Nouy (br0240) 2009; 16 Chan, Mathew (br0640) 1994; 3 Babuska, Chatzipantelidis (br0230) 2002; 191 Stefanou (br0190) 2009; 198 Benzi (br0550) 2002; 182 Subber, Monajemi, Khalil, Sarkar (br0480) 2008 Oztekin (br0600) 2012 Ghanem, Doostan (br0170) 2006; 217 (br0610) 2012 (br0620) 2012 (br0660) 2007; vol. 491 Subber, Sarkar (br0010) 2012; 341 Saad (br0530) 2003 Mathew (br0520) 2008; vol. 61 Sousedik, Mandel (br0450) 2008; 31 Maitre, Knio (br0220) 2010 Ghosh, Avery, Farhat (br0310) 2009; 80 Subber, Sarkar (br0420) 2013; 266 Eldred, Burkardt (br0100) 2009 Xiu (br0250) 2010 Powell, Elman (br0300) 2009; 29 Rosseel, Boonen, Vandewalle (br0350) 2008; 15 Barth, Schwab, Zollinger (br0020) 2011; 119 Pellissetti, Ghanem (br0280) 2000; 31 Maitre, Knio, Debusschere, Najm, Ghanem (br0330) 2003; 192 Back, Tamellini, Tempone (br0070) 2011; vol. 76 Nobile, Tempone, Webster (br0060) 2008; 46 Ghanem, Kruger (br0270) 1996; 129 Karypis, Kumar (br0580) 1995 Cliffe (10.1016/j.jcp.2013.08.058_br0030) 2011; 14 Xiu (10.1016/j.jcp.2013.08.058_br0250) 2010 Najm (10.1016/j.jcp.2013.08.058_br0200) 2009; 41 Saad (10.1016/j.jcp.2013.08.058_br0530) 2003 Pellissetti (10.1016/j.jcp.2013.08.058_br0280) 2000; 31 Powell (10.1016/j.jcp.2013.08.058_br0300) 2009; 29 Subber (10.1016/j.jcp.2013.08.058_br0410) 2013; vol. 91 Subber (10.1016/j.jcp.2013.08.058_br0420) 2013; 266 Sarkar (10.1016/j.jcp.2013.08.058_br0370) 2009; 77 Karypis (10.1016/j.jcp.2013.08.058_br0580) 1995 Kino (10.1016/j.jcp.2013.08.058_br0160) 2006; 38 Rosseel (10.1016/j.jcp.2013.08.058_br0260) 2010; 32 Kelley (10.1016/j.jcp.2013.08.058_br0540) 1995 Mathew (10.1016/j.jcp.2013.08.058_br0520) 2008; vol. 61 Keese (10.1016/j.jcp.2013.08.058_br0290) 2004 Elman (10.1016/j.jcp.2013.08.058_br0340) 2007; 27 Quarteroni (10.1016/j.jcp.2013.08.058_br0500) 1999 Balay (10.1016/j.jcp.2013.08.058_br0460) Schevenels (10.1016/j.jcp.2013.08.058_br0150) 2004 Babuska (10.1016/j.jcp.2013.08.058_br0230) 2002; 191 Subber (10.1016/j.jcp.2013.08.058_br0430) 2012 Subber (10.1016/j.jcp.2013.08.058_br0010) 2012; 341 Barth (10.1016/j.jcp.2013.08.058_br0020) 2011; 119 Benzi (10.1016/j.jcp.2013.08.058_br0550) 2002; 182 Xiu (10.1016/j.jcp.2013.08.058_br0040) 2005; 27 Geuzaine (10.1016/j.jcp.2013.08.058_br0590) 2009; 79 Matthies (10.1016/j.jcp.2013.08.058_br0210) 2005; 194 Maitre (10.1016/j.jcp.2013.08.058_br0330) 2003; 192 Ghanem (10.1016/j.jcp.2013.08.058_br0170) 2006; 217 Chan (10.1016/j.jcp.2013.08.058_br0640) 1994; 3 Back (10.1016/j.jcp.2013.08.058_br0070) 2011; vol. 76 Jakeman (10.1016/j.jcp.2013.08.058_br0080) 2008; 50 Eldred (10.1016/j.jcp.2013.08.058_br0100) 2009 Babuska (10.1016/j.jcp.2013.08.058_br0050) 2007; 45 Oztekin (10.1016/j.jcp.2013.08.058_br0600) 2012 Rosseel (10.1016/j.jcp.2013.08.058_br0350) 2008; 15 Sousedik (10.1016/j.jcp.2013.08.058_br0450) 2008; 31 Keese (10.1016/j.jcp.2013.08.058_br0140) 2003 Farhat (10.1016/j.jcp.2013.08.058_br0560) 2000; 7 Maitre (10.1016/j.jcp.2013.08.058_br0220) 2010 Ghanem (10.1016/j.jcp.2013.08.058_br0670) 1999; 66 Ullmann (10.1016/j.jcp.2013.08.058_br0320) 2010; 32 Elman (10.1016/j.jcp.2013.08.058_br0090) 2011; 1 Subber (10.1016/j.jcp.2013.08.058_br0390) 2013 Dostert (10.1016/j.jcp.2013.08.058_br0180) 2008; 197 Frauenfelder (10.1016/j.jcp.2013.08.058_br0630) 2005; 194 Nobile (10.1016/j.jcp.2013.08.058_br0060) 2008; 46 Ghanem (10.1016/j.jcp.2013.08.058_br0130) 1999; 168 Stefanou (10.1016/j.jcp.2013.08.058_br0190) 2009; 198 Ghanem (10.1016/j.jcp.2013.08.058_br0650) 2007; 29 Subber (10.1016/j.jcp.2013.08.058_br0380) 2010; vol. 5976 Subber (10.1016/j.jcp.2013.08.058_br0400) 2010; 256 Xiu (10.1016/j.jcp.2013.08.058_br0110) 2007; 2 Ghanem (10.1016/j.jcp.2013.08.058_br0120) 1991 Cros (10.1016/j.jcp.2013.08.058_br0440) 2003 Nouy (10.1016/j.jcp.2013.08.058_br0240) 2009; 16 (10.1016/j.jcp.2013.08.058_br0660) 2007; vol. 491 Subber (10.1016/j.jcp.2013.08.058_br0480) 2008 Mandel (10.1016/j.jcp.2013.08.058_br0570) 2005; 54 Ghanem (10.1016/j.jcp.2013.08.058_br0270) 1996; 129 Ghosh (10.1016/j.jcp.2013.08.058_br0310) 2009; 80 Chung (10.1016/j.jcp.2013.08.058_br0360) 2005; 64 Toselli (10.1016/j.jcp.2013.08.058_br0490) 2005; vol. 34 Smith (10.1016/j.jcp.2013.08.058_br0510) 1996 |
| References_xml | – volume: 29 start-page: 350 year: 2009 end-page: 375 ident: br0300 article-title: Block-diagonal preconditioning for spectral stochastic finite-element systems publication-title: IMA J. Numer. Anal. – volume: vol. 491 year: 2007 ident: br0660 publication-title: Probabilistic Methods in Geotechnical Engineering – volume: 27 start-page: 675 year: 2007 end-page: 688 ident: br0340 article-title: Solving the stochastic steady-state diffusion problem using multigrid publication-title: IMA J. Numer. Anal. – volume: 266 start-page: 112 year: 2013 end-page: 124 ident: br0420 article-title: Dual–primal domain decomposition method for uncertainty quantification publication-title: Comput. Methods Appl. Mech. Eng. – start-page: 373 year: 2003 end-page: 380 ident: br0440 article-title: A preconditioner for the Schur complement domain decomposition method publication-title: Fourteenth International Conference on Domain Decomposition Methods – volume: 45 start-page: 1005 year: 2007 end-page: 1034 ident: br0050 article-title: A stochastic collocation method for elliptic partial differential equations with random input data publication-title: SIAM J. Numer. Anal. – start-page: 399 year: 2004 end-page: 408 ident: br0290 article-title: Parallel computation of stochastic groundwater flow publication-title: NIC Symposium, vol. 20 – volume: 16 start-page: 251 year: 2009 end-page: 285 ident: br0240 article-title: Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations publication-title: Arch. Comput. Methods Eng. – volume: 168 start-page: 19 year: 1999 end-page: 34 ident: br0130 article-title: Ingredients for a general purpose stochastic finite elements implementation publication-title: Comput. Methods Appl. Mech. Eng. – volume: vol. 91 start-page: 191 year: 2013 end-page: 198 ident: br0410 article-title: Domain decomposition methods of stochastic PDEs publication-title: Domain Decomposition Methods in Science and Engineering XX – volume: 182 start-page: 418 year: 2002 end-page: 477 ident: br0550 article-title: Preconditioning techniques for large linear systems: A survey publication-title: J. Comput. Phys. – volume: 191 start-page: 4093 year: 2002 end-page: 4122 ident: br0230 article-title: On solving elliptic stochastic partial differential equations publication-title: Comput. Methods Appl. Mech. Eng. – year: 1995 ident: br0540 article-title: Iterative Methods for Linear and Nonlinear Equations – volume: 32 start-page: 372 year: 2010 end-page: 397 ident: br0260 article-title: Iterative solvers for the stochastic finite element method publication-title: SIAM J. Sci. Comput. – volume: 41 start-page: 35 year: 2009 end-page: 52 ident: br0200 article-title: Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics publication-title: Annu. Rev. Fluid Mech. – volume: 129 start-page: 289 year: 1996 end-page: 303 ident: br0270 article-title: Numerical solution of spectral stochastic finite element systems publication-title: Comput. Methods Appl. Mech. Eng. – volume: 217 start-page: 63 year: 2006 end-page: 81 ident: br0170 article-title: On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data publication-title: J. Comput. Phys. – volume: 197 start-page: 3445 year: 2008 end-page: 3455 ident: br0180 article-title: Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification publication-title: Comput. Methods Appl. Mech. Eng. – year: 2003 ident: br0140 article-title: A review of recent developments in the numerical solution of stochastic partial differential equations (stochastic finite elements) – start-page: 3299 year: 2004 end-page: 3314 ident: br0150 article-title: Application of the stochastic finite element method for Gaussian and non-Gaussian systems publication-title: Proceeding of ISMA2004 – volume: 194 start-page: 205 year: 2005 end-page: 228 ident: br0630 article-title: Finite elements for elliptic problems with stochastic coefficients publication-title: Comput. Methods Appl. Mech. Eng. – volume: 80 start-page: 914 year: 2009 end-page: 931 ident: br0310 article-title: A FETI-preconditioned conjugate gradient method for large-scale stochastic finite element problems publication-title: Int. J. Numer. Methods Eng. – year: 1995 ident: br0580 article-title: METIS unstructured graph partitioning and sparse matrix ordering system – year: 2010 ident: br0220 article-title: Spectral Methods for Uncertainty Quantification with Applications to Computational Fluid Dynamics – volume: 7 start-page: 687 year: 2000 end-page: 714 ident: br0560 article-title: A scalable dual–primal domain decomposition method publication-title: Numer. Linear Algebra Appl. – year: 2013 ident: br0390 article-title: Performances of one-level and two-level primal domain decomposition preconditioners for stochastic PDEs publication-title: Probab. Eng. Mech. – volume: 256 year: 2010 ident: br0400 article-title: Primal and dual–primal iterative substructuring methods of stochastic PDEs publication-title: J. Phys. Conf. Ser. – year: 2010 ident: br0250 article-title: Numerical Methods for Stochastic Computations: A Spectral Method Approach – volume: vol. 76 start-page: 43 year: 2011 end-page: 62 ident: br0070 article-title: Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: A numerical comparison publication-title: Spectral and High Order Methods for Partial Differential Equations – volume: vol. 5976 start-page: 251 year: 2010 end-page: 268 ident: br0380 article-title: Domain decomposition of stochastic PDEs: A novel preconditioner and its parallel performance publication-title: High Performance Computing Symposium – year: 2009 ident: br0460 – year: 1991 ident: br0120 article-title: Stochastic Finite Element: A Spectral Approach – volume: 32 start-page: 923 year: 2010 end-page: 946 ident: br0320 article-title: A Kronecker product preconditioner for stochastic Galerkin finite element discretizations publication-title: SIAM J. Sci. Comput. – volume: 341 year: 2012 ident: br0010 article-title: Domain decomposition methods of stochastic PDEs: A two-level scalable preconditioner publication-title: J. Phys. Conf. Ser. – year: 2012 ident: br0620 article-title: MATLAB – volume: 50 start-page: C815 year: 2008 end-page: C830 ident: br0080 article-title: Stochastic Galerkin and collocation methods for quantifying uncertainty in differential equations: A review publication-title: Proceedings of the 14th Biennial Computational Techniques and Applications Conference – volume: 38 start-page: 616 year: 2006 end-page: 640 ident: br0160 article-title: Uncertainty propagation in CFD using polynomial chaos decomposition publication-title: Fluid Dyn. Res. – year: 1996 ident: br0510 article-title: Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations – volume: 79 start-page: 1309 year: 2009 end-page: 1331 ident: br0590 article-title: Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities publication-title: Int. J. Numer. Methods Eng. – year: 2003 ident: br0530 article-title: Iterative Methods for Sparse Linear Systems – volume: 54 start-page: 167 year: 2005 end-page: 193 ident: br0570 article-title: An algebraic theory for primal and dual substructuring methods by constraints publication-title: Appl. Numer. Math. – volume: 66 start-page: 964 year: 1999 end-page: 973 ident: br0670 article-title: The nonlinear Gaussian spectrum of log-normal stochastic processes and variables publication-title: J. Appl. Mech. – volume: vol. 34 year: 2005 ident: br0490 article-title: Domain Decomposition Methods – Algorithms and Theory publication-title: Springer Ser. Comput. Math. – year: 2012 ident: br0430 article-title: Domain decomposition methods for uncertainty quantification – volume: 192 start-page: 4723 year: 2003 end-page: 4744 ident: br0330 article-title: A multigrid solver for two-dimensional stochastic diffusion equations publication-title: Comput. Methods Appl. Mech. Eng. – volume: 3 start-page: 61 year: 1994 end-page: 143 ident: br0640 article-title: Domain decomposition algorithms publication-title: Acta Numer. – volume: 15 start-page: 141 year: 2008 end-page: 163 ident: br0350 article-title: Algebraic multigrid for stationary and time-dependent partial differential equations with stochastic coefficients publication-title: Numer. Linear Algebra Appl. – year: 2012 ident: br0600 article-title: PMVIS partitioned mesh visualizer – volume: 14 start-page: 3 year: 2011 end-page: 15 ident: br0030 article-title: Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients publication-title: Comput. Vis. Sci. – volume: 64 start-page: 1334 year: 2005 end-page: 1349 ident: br0360 article-title: Efficient numerical strategies for spectral stochastic finite element models publication-title: Int. J. Numer. Methods Eng. – volume: 27 start-page: 1118 year: 2005 end-page: 1139 ident: br0040 article-title: High-order collocation methods for differential equations with random inputs publication-title: SIAM J. Sci. Comput. – year: 2009 ident: br0470 article-title: Message passing interface forum – volume: 119 start-page: 123 year: 2011 end-page: 161 ident: br0020 article-title: Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients publication-title: Numer. Math. – volume: 1 start-page: 19 year: 2011 end-page: 33 ident: br0090 article-title: Assessment of collocation and Galerkin approaches to linear diffusion equations with random data publication-title: Int. J. Uncertainty Quantif. – volume: 77 start-page: 689 year: 2009 end-page: 701 ident: br0370 article-title: Domain decomposition of stochastic PDEs: Theoretical formulations publication-title: Int. J. Numer. Methods Eng. – year: 1999 ident: br0500 article-title: Domain Decomposition Methods for Partial Differential Equations, Numerical Mathematics and Scientific Computation – volume: vol. 61 year: 2008 ident: br0520 article-title: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations publication-title: Lect. Notes Comput. Sci. Eng. – year: 2012 ident: br0610 article-title: ParaView – volume: 29 start-page: 238 year: 2007 end-page: 251 ident: br0650 article-title: Efficient solution of stochastic systems: Application to the embankment dam problem publication-title: Struct. Saf. – volume: 194 start-page: 1295 year: 2005 end-page: 1331 ident: br0210 article-title: Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations publication-title: Comput. Methods Appl. Mech. Eng. – volume: 31 start-page: 384 year: 2008 end-page: 402 ident: br0450 article-title: On the equivalence of primal and dual substructuring preconditioners publication-title: Electron. Trans. Numer. Anal. – volume: 2 start-page: 293 year: 2007 end-page: 309 ident: br0110 article-title: Efficient collocational approach for parametric uncertainty analysis publication-title: Commun. Comput. Phys. – volume: 31 start-page: 607 year: 2000 end-page: 616 ident: br0280 article-title: Iterative solution of systems of linear equations arising in the context of stochastic finite elements publication-title: Adv. Eng. Softw. – year: 2008 ident: br0480 article-title: A scalable parallel uncertainty analysis and data assimilation framework applied to some hydraulic problems publication-title: International Symposium on Uncertainties in Hydrologic and Hydraulic – year: 2009 ident: br0100 article-title: Comparison of non-intrusive polynomial chaos and stochastic collocation methods for uncertainty quantification publication-title: 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition – volume: 198 start-page: 1031 year: 2009 end-page: 1051 ident: br0190 article-title: The stochastic finite element method: Past, present and future publication-title: Comput. Methods Appl. Mech. Eng. – volume: 46 start-page: 2309 year: 2008 end-page: 2345 ident: br0060 article-title: A sparse grid stochastic collocation method for partial differential equations with random input data publication-title: SIAM J. Numer. Anal. – volume: 29 start-page: 238 year: 2007 ident: 10.1016/j.jcp.2013.08.058_br0650 article-title: Efficient solution of stochastic systems: Application to the embankment dam problem publication-title: Struct. Saf. doi: 10.1016/j.strusafe.2006.07.015 – volume: 41 start-page: 35 year: 2009 ident: 10.1016/j.jcp.2013.08.058_br0200 article-title: Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics publication-title: Annu. Rev. Fluid Mech. doi: 10.1146/annurev.fluid.010908.165248 – volume: 256 year: 2010 ident: 10.1016/j.jcp.2013.08.058_br0400 article-title: Primal and dual–primal iterative substructuring methods of stochastic PDEs publication-title: J. Phys. Conf. Ser. doi: 10.1088/1742-6596/256/1/012001 – volume: 182 start-page: 418 year: 2002 ident: 10.1016/j.jcp.2013.08.058_br0550 article-title: Preconditioning techniques for large linear systems: A survey publication-title: J. Comput. Phys. doi: 10.1006/jcph.2002.7176 – volume: 80 start-page: 914 year: 2009 ident: 10.1016/j.jcp.2013.08.058_br0310 article-title: A FETI-preconditioned conjugate gradient method for large-scale stochastic finite element problems publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.2595 – volume: 7 start-page: 687 year: 2000 ident: 10.1016/j.jcp.2013.08.058_br0560 article-title: A scalable dual–primal domain decomposition method publication-title: Numer. Linear Algebra Appl. doi: 10.1002/1099-1506(200010/12)7:7/8<687::AID-NLA219>3.0.CO;2-S – volume: 2 start-page: 293 year: 2007 ident: 10.1016/j.jcp.2013.08.058_br0110 article-title: Efficient collocational approach for parametric uncertainty analysis publication-title: Commun. Comput. Phys. – volume: 217 start-page: 63 year: 2006 ident: 10.1016/j.jcp.2013.08.058_br0170 article-title: On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2006.01.037 – year: 2010 ident: 10.1016/j.jcp.2013.08.058_br0220 – volume: 32 start-page: 923 year: 2010 ident: 10.1016/j.jcp.2013.08.058_br0320 article-title: A Kronecker product preconditioner for stochastic Galerkin finite element discretizations publication-title: SIAM J. Sci. Comput. doi: 10.1137/080742853 – volume: 31 start-page: 384 year: 2008 ident: 10.1016/j.jcp.2013.08.058_br0450 article-title: On the equivalence of primal and dual substructuring preconditioners publication-title: Electron. Trans. Numer. Anal. – volume: 50 start-page: C815 year: 2008 ident: 10.1016/j.jcp.2013.08.058_br0080 article-title: Stochastic Galerkin and collocation methods for quantifying uncertainty in differential equations: A review publication-title: ANZIAM J. doi: 10.21914/anziamj.v50i0.1410 – volume: 54 start-page: 167 year: 2005 ident: 10.1016/j.jcp.2013.08.058_br0570 article-title: An algebraic theory for primal and dual substructuring methods by constraints publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2004.09.022 – year: 2009 ident: 10.1016/j.jcp.2013.08.058_br0100 article-title: Comparison of non-intrusive polynomial chaos and stochastic collocation methods for uncertainty quantification – volume: 64 start-page: 1334 year: 2005 ident: 10.1016/j.jcp.2013.08.058_br0360 article-title: Efficient numerical strategies for spectral stochastic finite element models publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.1404 – volume: 15 start-page: 141 year: 2008 ident: 10.1016/j.jcp.2013.08.058_br0350 article-title: Algebraic multigrid for stationary and time-dependent partial differential equations with stochastic coefficients publication-title: Numer. Linear Algebra Appl. doi: 10.1002/nla.568 – volume: 266 start-page: 112 year: 2013 ident: 10.1016/j.jcp.2013.08.058_br0420 article-title: Dual–primal domain decomposition method for uncertainty quantification publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2013.07.007 – volume: 3 start-page: 61 year: 1994 ident: 10.1016/j.jcp.2013.08.058_br0640 article-title: Domain decomposition algorithms publication-title: Acta Numer. doi: 10.1017/S0962492900002427 – volume: vol. 34 year: 2005 ident: 10.1016/j.jcp.2013.08.058_br0490 article-title: Domain Decomposition Methods – Algorithms and Theory – start-page: 399 year: 2004 ident: 10.1016/j.jcp.2013.08.058_br0290 article-title: Parallel computation of stochastic groundwater flow – volume: 66 start-page: 964 year: 1999 ident: 10.1016/j.jcp.2013.08.058_br0670 article-title: The nonlinear Gaussian spectrum of log-normal stochastic processes and variables publication-title: J. Appl. Mech. doi: 10.1115/1.2791806 – year: 1995 ident: 10.1016/j.jcp.2013.08.058_br0540 – volume: 79 start-page: 1309 year: 2009 ident: 10.1016/j.jcp.2013.08.058_br0590 article-title: Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.2579 – start-page: 3299 year: 2004 ident: 10.1016/j.jcp.2013.08.058_br0150 article-title: Application of the stochastic finite element method for Gaussian and non-Gaussian systems – volume: 168 start-page: 19 year: 1999 ident: 10.1016/j.jcp.2013.08.058_br0130 article-title: Ingredients for a general purpose stochastic finite elements implementation publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/S0045-7825(98)00106-6 – volume: 194 start-page: 205 year: 2005 ident: 10.1016/j.jcp.2013.08.058_br0630 article-title: Finite elements for elliptic problems with stochastic coefficients publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2004.04.008 – volume: 16 start-page: 251 year: 2009 ident: 10.1016/j.jcp.2013.08.058_br0240 article-title: Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations publication-title: Arch. Comput. Methods Eng. doi: 10.1007/s11831-009-9034-5 – volume: 31 start-page: 607 year: 2000 ident: 10.1016/j.jcp.2013.08.058_br0280 article-title: Iterative solution of systems of linear equations arising in the context of stochastic finite elements publication-title: Adv. Eng. Softw. doi: 10.1016/S0965-9978(00)00034-X – volume: 341 year: 2012 ident: 10.1016/j.jcp.2013.08.058_br0010 article-title: Domain decomposition methods of stochastic PDEs: A two-level scalable preconditioner publication-title: J. Phys. Conf. Ser. doi: 10.1088/1742-6596/341/1/012033 – volume: 194 start-page: 1295 year: 2005 ident: 10.1016/j.jcp.2013.08.058_br0210 article-title: Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2004.05.027 – volume: 191 start-page: 4093 year: 2002 ident: 10.1016/j.jcp.2013.08.058_br0230 article-title: On solving elliptic stochastic partial differential equations publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/S0045-7825(02)00354-7 – volume: vol. 5976 start-page: 251 year: 2010 ident: 10.1016/j.jcp.2013.08.058_br0380 article-title: Domain decomposition of stochastic PDEs: A novel preconditioner and its parallel performance – year: 2003 ident: 10.1016/j.jcp.2013.08.058_br0140 – volume: 38 start-page: 616 year: 2006 ident: 10.1016/j.jcp.2013.08.058_br0160 article-title: Uncertainty propagation in CFD using polynomial chaos decomposition publication-title: Fluid Dyn. Res. doi: 10.1016/j.fluiddyn.2005.12.003 – volume: 197 start-page: 3445 year: 2008 ident: 10.1016/j.jcp.2013.08.058_br0180 article-title: Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2008.02.030 – volume: 129 start-page: 289 year: 1996 ident: 10.1016/j.jcp.2013.08.058_br0270 article-title: Numerical solution of spectral stochastic finite element systems publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/0045-7825(95)00909-4 – start-page: 373 year: 2003 ident: 10.1016/j.jcp.2013.08.058_br0440 article-title: A preconditioner for the Schur complement domain decomposition method – volume: vol. 491 year: 2007 ident: 10.1016/j.jcp.2013.08.058_br0660 – volume: vol. 76 start-page: 43 year: 2011 ident: 10.1016/j.jcp.2013.08.058_br0070 article-title: Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: A numerical comparison – year: 2013 ident: 10.1016/j.jcp.2013.08.058_br0390 article-title: Performances of one-level and two-level primal domain decomposition preconditioners for stochastic PDEs publication-title: Probab. Eng. Mech. – volume: vol. 91 start-page: 191 year: 2013 ident: 10.1016/j.jcp.2013.08.058_br0410 article-title: Domain decomposition methods of stochastic PDEs – ident: 10.1016/j.jcp.2013.08.058_br0460 – volume: 198 start-page: 1031 year: 2009 ident: 10.1016/j.jcp.2013.08.058_br0190 article-title: The stochastic finite element method: Past, present and future publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2008.11.007 – volume: 32 start-page: 372 year: 2010 ident: 10.1016/j.jcp.2013.08.058_br0260 article-title: Iterative solvers for the stochastic finite element method publication-title: SIAM J. Sci. Comput. doi: 10.1137/080727026 – year: 1991 ident: 10.1016/j.jcp.2013.08.058_br0120 – volume: 1 start-page: 19 year: 2011 ident: 10.1016/j.jcp.2013.08.058_br0090 article-title: Assessment of collocation and Galerkin approaches to linear diffusion equations with random data publication-title: Int. J. Uncertainty Quantif. doi: 10.1615/Int.J.UncertaintyQuantification.v1.i1.20 – volume: 45 start-page: 1005 year: 2007 ident: 10.1016/j.jcp.2013.08.058_br0050 article-title: A stochastic collocation method for elliptic partial differential equations with random input data publication-title: SIAM J. Numer. Anal. doi: 10.1137/050645142 – volume: 46 start-page: 2309 year: 2008 ident: 10.1016/j.jcp.2013.08.058_br0060 article-title: A sparse grid stochastic collocation method for partial differential equations with random input data publication-title: SIAM J. Numer. Anal. doi: 10.1137/060663660 – year: 2008 ident: 10.1016/j.jcp.2013.08.058_br0480 article-title: A scalable parallel uncertainty analysis and data assimilation framework applied to some hydraulic problems – volume: 27 start-page: 675 year: 2007 ident: 10.1016/j.jcp.2013.08.058_br0340 article-title: Solving the stochastic steady-state diffusion problem using multigrid publication-title: IMA J. Numer. Anal. doi: 10.1093/imanum/drm006 – year: 2010 ident: 10.1016/j.jcp.2013.08.058_br0250 – year: 1999 ident: 10.1016/j.jcp.2013.08.058_br0500 – year: 1996 ident: 10.1016/j.jcp.2013.08.058_br0510 – volume: 27 start-page: 1118 year: 2005 ident: 10.1016/j.jcp.2013.08.058_br0040 article-title: High-order collocation methods for differential equations with random inputs publication-title: SIAM J. Sci. Comput. doi: 10.1137/040615201 – volume: 77 start-page: 689 year: 2009 ident: 10.1016/j.jcp.2013.08.058_br0370 article-title: Domain decomposition of stochastic PDEs: Theoretical formulations publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.2431 – volume: 14 start-page: 3 year: 2011 ident: 10.1016/j.jcp.2013.08.058_br0030 article-title: Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients publication-title: Comput. Vis. Sci. doi: 10.1007/s00791-011-0160-x – volume: 192 start-page: 4723 year: 2003 ident: 10.1016/j.jcp.2013.08.058_br0330 article-title: A multigrid solver for two-dimensional stochastic diffusion equations publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/S0045-7825(03)00457-2 – year: 1995 ident: 10.1016/j.jcp.2013.08.058_br0580 – volume: vol. 61 year: 2008 ident: 10.1016/j.jcp.2013.08.058_br0520 article-title: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations – year: 2012 ident: 10.1016/j.jcp.2013.08.058_br0600 – year: 2012 ident: 10.1016/j.jcp.2013.08.058_br0430 – volume: 119 start-page: 123 year: 2011 ident: 10.1016/j.jcp.2013.08.058_br0020 article-title: Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients publication-title: Numer. Math. doi: 10.1007/s00211-011-0377-0 – year: 2003 ident: 10.1016/j.jcp.2013.08.058_br0530 – volume: 29 start-page: 350 year: 2009 ident: 10.1016/j.jcp.2013.08.058_br0300 article-title: Block-diagonal preconditioning for spectral stochastic finite-element systems publication-title: IMA J. Numer. Anal. doi: 10.1093/imanum/drn014 |
| SSID | ssj0008548 |
| Score | 2.253311 |
| Snippet | Recent advances in high performance computing systems and sensing technologies motivate computational simulations with extremely high resolution models with... |
| SourceID | osti proquest crossref elsevier |
| SourceType | Open Access Repository Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 298 |
| SubjectTerms | ALGORITHMS Balancing domain decomposition by constraints CHAOS THEORY Coarsening Computation Computer simulation DECOMPOSITION Domain decomposition method Domain decomposition methods ELASTICITY ENGINEERING FINITE ELEMENT METHOD IMPLEMENTATION ITERATIVE METHODS MATHEMATICAL METHODS AND COMPUTING Neumann–Neumann preconditioner Numerical prediction PARTIAL DIFFERENTIAL EQUATIONS Polynomial chaos expansion POLYNOMIALS POROUS MATERIALS Schur complement system Solvers Stochastic finite element method Stochastic PDEs STOCHASTIC PROCESSES Stochasticity |
| Title | A domain decomposition method of stochastic PDEs: An iterative solution techniques using a two-level scalable preconditioner |
| URI | https://dx.doi.org/10.1016/j.jcp.2013.08.058 https://www.proquest.com/docview/1551048181 https://www.proquest.com/docview/1671592309 https://www.proquest.com/docview/1677984436 https://www.osti.gov/biblio/22230842 |
| Volume | 257 |
| WOSCitedRecordID | wos000327483200014&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1090-2716 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0008548 issn: 0021-9991 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Pb9MwFLZQxwEO_BggCgMZiRNRoEmcxOYWjSKo0NRDBb1FtpNo7UZaNe22A38878V2ulGtggOXKIpsy_L7bL_38t73CHmbqCTkSid-GTLtM4nVAGEX-ZVkgUojGZZtIu33b-nJCZ9OxdhmlzRtOYG0rvnVlVj-V1HDNxA2ps7-g7i7QeEDvIPQ4Qlih-dfCT7zisVP2Qa5Yry4DcqypaJRNwR1T59K5Gf2xp-GjXUNGnpljCNy0_M6ftfG27QuBemtLxf-OcYZeQ0It027WrY2dWE5j25RdnVbPMI5Ho07pdPm4fBSBjk_pCy6r3J1ZqK_M3U6m8_W1x0UAQa1-CZFs0sYCHzUQ82VY87ZgRj4YWrSLN1BHBqqaou4Mayg8efunPLG4TB6PzoeY3Be1JKwGgb4P8izUfsZcAZ39EGYxoL3yEH2dTgddZc1j5m5rO0c3Y_vIPmwM_5tqktvASLbuctbBWXyiDywi00zg4jH5E5ZH5KH1sqg9gxvDsn9axSUT8ivjBq40BtwoQYudFHRLVwowuUjzWragYU6sNAtWGgLFippBxbqwEJvguUpmXweTo6_-LYih69ZyNZ-XAyiWEtkYVRMRrCZwR5NQi3A6kFlUUccLwQVVGAlpEIyWfGo0GEpiqoqdPSM9GoY_jmhoiojwWNVVaCRi0JxGKEsFIxfcK246JOBW-tcW7Z6LJpynruwxHk-18scxZNjIdWY98m7rsvSULXsa8ycAHOraxodMgeQ7et2hMLGLrisGoPRoI-DWZ-8cSDI4ZjGf2-yLhebJkfLBKmZeLCnTZKCcQEjib1tUsEZi5IX-6fyktzbbsYj0luvNuUrcldfrGfN6rXdBr8BP9XNUw |
| linkProvider | Elsevier |
| 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=A+domain+decomposition+method+of+stochastic+PDEs%3A+An+iterative+solution+techniques+using+a+two-level+scalable+preconditioner&rft.jtitle=Journal+of+computational+physics&rft.au=Subber%2C+Waad&rft.au=Sarkar%2C+Abhijit&rft.date=2014-01-15&rft.issn=0021-9991&rft.eissn=1090-2716&rft.volume=257&rft.issue=Part+A&rft_id=info:doi/10.1016%2FJ.JCP.2013.08.058&rft.externalDocID=22230842 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0021-9991&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0021-9991&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0021-9991&client=summon |