KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners
Contemporary applications in computational science and engineering often require the solution of linear systems which may be of different sizes, shapes, and structures. The goal of this paper is to explain how two libraries, PETSc and HPDDM, have been interfaced in order to offer end-users robust ov...
Gespeichert in:
| Veröffentlicht in: | Computers & mathematics with applications (1987) 2021-02, Vol.84, p.277-295 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 295 |
|---|---|
| container_issue | |
| container_start_page | 277 |
| container_title | Computers & mathematics with applications (1987) |
| container_volume | 84 |
| creator | Jolivet, Pierre Roman, Jose E. Zampini, Stefano |
| description | Contemporary applications in computational science and engineering often require the solution of linear systems which may be of different sizes, shapes, and structures. The goal of this paper is to explain how two libraries, PETSc and HPDDM, have been interfaced in order to offer end-users robust overlapping Schwarz preconditioners and advanced Krylov methods featuring recycling and the ability to deal with multiple right-hand sides. The flexibility of the implementation is showcased and explained with minimalist, easy-to-run, and reproducible examples, to ease the integration of these algorithms into more advanced frameworks. The examples provided cover applications from eigenanalysis, elasticity, combustion, and electromagnetism. |
| doi_str_mv | 10.1016/j.camwa.2021.01.003 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_04751926v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0898122121000055</els_id><sourcerecordid>2501256532</sourcerecordid><originalsourceid>FETCH-LOGICAL-c410t-2924680cc43b943b7c2494c0cbee85c0c7cd1ce19dde3e28b96ae16ea08d2a9d3</originalsourceid><addsrcrecordid>eNp9UU1rGzEQFaWFuml_QS-CnnpYdyTtZ6GH4LhxiEMMTs9Clia1zHq1leR1E_rjq7VDj4UZZhjee8zMI-QjgykDVn7ZTbXaH9WUA2dTSAHiFZmwuhJZVZb1azKBuqkzxjl7S96FsAOAXHCYkD-369VidXV1R1Vn6Gp26r_S-e-InbHdT7qaP6w1Pdq4pcoMqtNo6K1_at1A9xi3zoQT07vNIUS6P7TRtjhgS92AvlV9P4qs9fao_DPtPWqXdKN1Hfrwnrx5VG3ADy_1gvz4Pn-YLbLl_fXN7HKZ6ZxBzHjD87IGrXOxaVJWmudNrkFvEOsi1UobppE1xqBAXm-aUiErUUFtuGqMuCCfz7pb1cre273yT9IpKxeXSznOIK8K1vByYAn76Yztvft1wBDlzh18l9aTvADGi7IQPKHEGaW9C8Hj4z9ZBnK0RO7kyRI5WiIhBYjE-nZmYTp2sOhl0BbHl9r0mCiNs__l_wXYmJXN</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2501256532</pqid></control><display><type>article</type><title>KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners</title><source>Elsevier ScienceDirect Journals</source><creator>Jolivet, Pierre ; Roman, Jose E. ; Zampini, Stefano</creator><creatorcontrib>Jolivet, Pierre ; Roman, Jose E. ; Zampini, Stefano</creatorcontrib><description>Contemporary applications in computational science and engineering often require the solution of linear systems which may be of different sizes, shapes, and structures. The goal of this paper is to explain how two libraries, PETSc and HPDDM, have been interfaced in order to offer end-users robust overlapping Schwarz preconditioners and advanced Krylov methods featuring recycling and the ability to deal with multiple right-hand sides. The flexibility of the implementation is showcased and explained with minimalist, easy-to-run, and reproducible examples, to ease the integration of these algorithms into more advanced frameworks. The examples provided cover applications from eigenanalysis, elasticity, combustion, and electromagnetism.</description><identifier>ISSN: 0898-1221</identifier><identifier>EISSN: 1873-7668</identifier><identifier>DOI: 10.1016/j.camwa.2021.01.003</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Algorithms ; Computer Science ; Distributed-memory parallel computing ; Domain decomposition preconditioners ; Electromagnetism ; Krylov methods ; Linear systems ; Mathematical Software</subject><ispartof>Computers & mathematics with applications (1987), 2021-02, Vol.84, p.277-295</ispartof><rights>2021 Elsevier Ltd</rights><rights>Copyright Elsevier BV Feb 15, 2021</rights><rights>Attribution - NonCommercial</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c410t-2924680cc43b943b7c2494c0cbee85c0c7cd1ce19dde3e28b96ae16ea08d2a9d3</citedby><cites>FETCH-LOGICAL-c410t-2924680cc43b943b7c2494c0cbee85c0c7cd1ce19dde3e28b96ae16ea08d2a9d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0898122121000055$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,776,780,881,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttps://hal.science/hal-04751926$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Jolivet, Pierre</creatorcontrib><creatorcontrib>Roman, Jose E.</creatorcontrib><creatorcontrib>Zampini, Stefano</creatorcontrib><title>KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners</title><title>Computers & mathematics with applications (1987)</title><description>Contemporary applications in computational science and engineering often require the solution of linear systems which may be of different sizes, shapes, and structures. The goal of this paper is to explain how two libraries, PETSc and HPDDM, have been interfaced in order to offer end-users robust overlapping Schwarz preconditioners and advanced Krylov methods featuring recycling and the ability to deal with multiple right-hand sides. The flexibility of the implementation is showcased and explained with minimalist, easy-to-run, and reproducible examples, to ease the integration of these algorithms into more advanced frameworks. The examples provided cover applications from eigenanalysis, elasticity, combustion, and electromagnetism.</description><subject>Algorithms</subject><subject>Computer Science</subject><subject>Distributed-memory parallel computing</subject><subject>Domain decomposition preconditioners</subject><subject>Electromagnetism</subject><subject>Krylov methods</subject><subject>Linear systems</subject><subject>Mathematical Software</subject><issn>0898-1221</issn><issn>1873-7668</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9UU1rGzEQFaWFuml_QS-CnnpYdyTtZ6GH4LhxiEMMTs9Clia1zHq1leR1E_rjq7VDj4UZZhjee8zMI-QjgykDVn7ZTbXaH9WUA2dTSAHiFZmwuhJZVZb1azKBuqkzxjl7S96FsAOAXHCYkD-369VidXV1R1Vn6Gp26r_S-e-InbHdT7qaP6w1Pdq4pcoMqtNo6K1_at1A9xi3zoQT07vNIUS6P7TRtjhgS92AvlV9P4qs9fao_DPtPWqXdKN1Hfrwnrx5VG3ADy_1gvz4Pn-YLbLl_fXN7HKZ6ZxBzHjD87IGrXOxaVJWmudNrkFvEOsi1UobppE1xqBAXm-aUiErUUFtuGqMuCCfz7pb1cre273yT9IpKxeXSznOIK8K1vByYAn76Yztvft1wBDlzh18l9aTvADGi7IQPKHEGaW9C8Hj4z9ZBnK0RO7kyRI5WiIhBYjE-nZmYTp2sOhl0BbHl9r0mCiNs__l_wXYmJXN</recordid><startdate>20210215</startdate><enddate>20210215</enddate><creator>Jolivet, Pierre</creator><creator>Roman, Jose E.</creator><creator>Zampini, Stefano</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><general>Elsevier</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><scope>VOOES</scope></search><sort><creationdate>20210215</creationdate><title>KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners</title><author>Jolivet, Pierre ; Roman, Jose E. ; Zampini, Stefano</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c410t-2924680cc43b943b7c2494c0cbee85c0c7cd1ce19dde3e28b96ae16ea08d2a9d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algorithms</topic><topic>Computer Science</topic><topic>Distributed-memory parallel computing</topic><topic>Domain decomposition preconditioners</topic><topic>Electromagnetism</topic><topic>Krylov methods</topic><topic>Linear systems</topic><topic>Mathematical Software</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jolivet, Pierre</creatorcontrib><creatorcontrib>Roman, Jose E.</creatorcontrib><creatorcontrib>Zampini, Stefano</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Computers & mathematics with applications (1987)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jolivet, Pierre</au><au>Roman, Jose E.</au><au>Zampini, Stefano</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners</atitle><jtitle>Computers & mathematics with applications (1987)</jtitle><date>2021-02-15</date><risdate>2021</risdate><volume>84</volume><spage>277</spage><epage>295</epage><pages>277-295</pages><issn>0898-1221</issn><eissn>1873-7668</eissn><abstract>Contemporary applications in computational science and engineering often require the solution of linear systems which may be of different sizes, shapes, and structures. The goal of this paper is to explain how two libraries, PETSc and HPDDM, have been interfaced in order to offer end-users robust overlapping Schwarz preconditioners and advanced Krylov methods featuring recycling and the ability to deal with multiple right-hand sides. The flexibility of the implementation is showcased and explained with minimalist, easy-to-run, and reproducible examples, to ease the integration of these algorithms into more advanced frameworks. The examples provided cover applications from eigenanalysis, elasticity, combustion, and electromagnetism.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.camwa.2021.01.003</doi><tpages>19</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0898-1221 |
| ispartof | Computers & mathematics with applications (1987), 2021-02, Vol.84, p.277-295 |
| issn | 0898-1221 1873-7668 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_04751926v1 |
| source | Elsevier ScienceDirect Journals |
| subjects | Algorithms Computer Science Distributed-memory parallel computing Domain decomposition preconditioners Electromagnetism Krylov methods Linear systems Mathematical Software |
| title | KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T21%3A33%3A23IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=KSPHPDDM%20and%20PCHPDDM:%20Extending%20PETSc%20with%20advanced%20Krylov%20methods%20and%20robust%20multilevel%20overlapping%20Schwarz%20preconditioners&rft.jtitle=Computers%20&%20mathematics%20with%20applications%20(1987)&rft.au=Jolivet,%20Pierre&rft.date=2021-02-15&rft.volume=84&rft.spage=277&rft.epage=295&rft.pages=277-295&rft.issn=0898-1221&rft.eissn=1873-7668&rft_id=info:doi/10.1016/j.camwa.2021.01.003&rft_dat=%3Cproquest_hal_p%3E2501256532%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2501256532&rft_id=info:pmid/&rft_els_id=S0898122121000055&rfr_iscdi=true |