{"id":"https://openalex.org/W1971554239","doi":"https://doi.org/10.1137/080730974","title":"Preconditioned Hermitian and Skew-Hermitian Splitting Method for Finite Element Approximations of Convection-Diffusion Equations","display_name":"Preconditioned Hermitian and Skew-Hermitian Splitting Method for Finite Element Approximations of Convection-Diffusion Equations","publication_year":2009,"publication_date":"2009-08-25","ids":{"openalex":"https://openalex.org/W1971554239","doi":"https://doi.org/10.1137/080730974","mag":"1971554239"},"language":"en","primary_location":{"id":"doi:10.1137/080730974","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080730974","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056593294","display_name":"A. Russo","orcid":"https://orcid.org/0000-0002-6878-402X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alessandro Russo","raw_affiliation_strings":["alessandro.russo@unimib.it#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"alessandro.russo@unimib.it#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015375692","display_name":"Cristina Tablino\u2013Possio","orcid":"https://orcid.org/0000-0003-1424-2767"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cristina Tablino Possio","raw_affiliation_strings":["cristina.tablinopossio@unimib.it#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"cristina.tablinopossio@unimib.it#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6942,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70367806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"3","first_page":"997","last_page":"1018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8102685809135437},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.7632628679275513},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6699376106262207},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.652255654335022},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5033685564994812},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4747241735458374},{"id":"https://openalex.org/keywords/spectral-element-method","display_name":"Spectral element method","score":0.4439949691295624},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44388383626937866},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43757376074790955},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4111831486225128},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.41005682945251465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.390780508518219},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3471410572528839},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.251269668340683},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20027664303779602},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10826858878135681},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.105812668800354}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8102685809135437},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.7632628679275513},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6699376106262207},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.652255654335022},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5033685564994812},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4747241735458374},{"id":"https://openalex.org/C38961997","wikidata":"https://www.wikidata.org/wiki/Q7575186","display_name":"Spectral element method","level":4,"score":0.4439949691295624},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44388383626937866},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43757376074790955},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4111831486225128},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.41005682945251465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.390780508518219},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3471410572528839},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.251269668340683},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20027664303779602},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10826858878135681},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.105812668800354},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080730974","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080730974","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:boa.unimib.it:10281/8406","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/8406","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1975357829","https://openalex.org/W1983961353","https://openalex.org/W1991285463","https://openalex.org/W1994176509","https://openalex.org/W1999886256","https://openalex.org/W2001495457","https://openalex.org/W2002102128","https://openalex.org/W2015700994","https://openalex.org/W2023603353","https://openalex.org/W2024389662","https://openalex.org/W2036843998","https://openalex.org/W2043390776","https://openalex.org/W2043857934","https://openalex.org/W2049157754","https://openalex.org/W2049726926","https://openalex.org/W2084363278","https://openalex.org/W2086602363","https://openalex.org/W2086989241","https://openalex.org/W2089598668","https://openalex.org/W2109926900","https://openalex.org/W2122499882","https://openalex.org/W2128290902","https://openalex.org/W2133124628","https://openalex.org/W2165741100","https://openalex.org/W2168690621"],"related_works":["https://openalex.org/W2081990255","https://openalex.org/W110533479","https://openalex.org/W4248194227","https://openalex.org/W2047814828","https://openalex.org/W4213072858","https://openalex.org/W1998860845","https://openalex.org/W4313640449","https://openalex.org/W3183252893","https://openalex.org/W4361002216","https://openalex.org/W1977278511"],"abstract_inverted_index":{"A":[0],"two-step":[1],"preconditioned":[2,81,105],"iterative":[3],"method":[4,111],"based":[5],"on":[6,36,47,123],"the":[7,15,23,37,65,70,79,98,101,104,119,130],"Hermitian":[8,106],"and":[9,69,72,107,114],"skew-Hermitian":[10,108],"splitting":[11,109],"is":[12,67,95,112],"applied":[13],"to":[14,43,53],"solution":[16],"of":[17,27,39,103],"nonsymmetric":[18],"linear":[19],"systems":[20],"arising":[21],"from":[22,57],"finite":[24,44],"element":[25,45],"approximation":[26],"diffusion-dominated":[28],"convection-diffusion":[29],"equations.":[30],"The":[31],"theoretical":[32,120],"spectral":[33,54],"analysis":[34],"focuses":[35],"case":[38],"matrix":[40,82],"sequences":[41],"related":[42],"approximations":[46],"uniform":[48],"structured":[49],"meshes,":[50],"by":[51],"referring":[52],"tools":[55],"derived":[56],"Toeplitz":[58],"theory.":[59],"In":[60],"such":[61],"a":[62,85,91],"setting,":[63],"if":[64],"problem":[66],"coercive":[68],"diffusive":[71],"convective":[73],"coefficients":[74],"are":[75,126],"regular":[76],"enough,":[77],"then":[78],"proposed":[80],"sequence":[83,94],"shows":[84],"strong":[86],"clustering":[87],"at":[88],"unity,":[89],"i.e.,":[90],"superlinear":[92],"preconditioning":[93],"obtained.":[96],"Under":[97],"same":[99,131],"assumptions,":[100],"optimality":[102],"(PHSS)":[110],"proved,":[113],"some":[115],"numerical":[116],"experiments":[117],"confirm":[118],"results.":[121],"Tests":[122],"unstructured":[124],"meshes":[125],"also":[127],"presented,":[128],"showing":[129],"convergence":[132],"behavior.":[133]},"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
