{"id":"https://openalex.org/W1963859447","doi":"https://doi.org/10.1007/s10915-013-9758-0","title":"A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem","display_name":"A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem","publication_year":2013,"publication_date":"2013-08-17","ids":{"openalex":"https://openalex.org/W1963859447","doi":"https://doi.org/10.1007/s10915-013-9758-0","mag":"1963859447"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9758-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9758-0","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","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/A5070027067","display_name":"Blanca Ayuso de Dios","orcid":"https://orcid.org/0000-0003-4144-6984"},"institutions":[{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Blanca Ayuso de Dios","raw_affiliation_strings":["Centre de Recerca Matem\u00e1tica, Campus de Bellaterra, 08193, Bellaterra, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recerca Matem\u00e1tica, Campus de Bellaterra, 08193, Bellaterra, Barcelona, Spain","institution_ids":["https://openalex.org/I4210122226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073696154","display_name":"Franco Brezzi","orcid":"https://orcid.org/0000-0003-4715-5475"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]},{"id":"https://openalex.org/I4210111472","display_name":"King Abdul Aziz University Hospital","ror":"https://ror.org/01vv03303","country_code":"SA","type":"healthcare","lineage":["https://openalex.org/I4210111472"]},{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}],"countries":["IT","SA"],"is_corresponding":false,"raw_author_name":"Franco Brezzi","raw_affiliation_strings":["Department of Mathematics, KAU, PO Box 80203, Jeddah, 21589, Saudi Arabia","IUSS-Pavia c/p IMATI-CNR, Via Ferrata 5/A, 27100, Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, KAU, PO Box 80203, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699","https://openalex.org/I4210111472"]},{"raw_affiliation_string":"IUSS-Pavia c/p IMATI-CNR, Via Ferrata 5/A, 27100, Pavia, Italy","institution_ids":["https://openalex.org/I4210137033"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056811351","display_name":"L. D. Marini","orcid":"https://orcid.org/0000-0002-9224-1367"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Donatella Marini","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pavia, Via Ferrata 1, 27100, Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pavia, Via Ferrata 1, 27100, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101494424","display_name":"Jinchao Xu","orcid":"https://orcid.org/0009-0004-4132-0227"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jinchao Xu","raw_affiliation_strings":["Department of Mathematics, Penn State University, University Park, PA, 16802, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Penn State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074536850","display_name":"Ludmil Zikatanov","orcid":"https://orcid.org/0000-0002-5189-4230"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ludmil Zikatanov","raw_affiliation_strings":["Department of Mathematics, Penn State University, University Park, PA, 16802, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Penn State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101494424"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.2331,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.93493604,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"58","issue":"3","first_page":"517","last_page":"547"},"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":1.0,"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":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991999864578247,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.9634619951248169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8164392709732056},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.7445133924484253},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7128039598464966},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7064446210861206},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6602438688278198},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.629408061504364},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6106065511703491},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5154334306716919},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.4749981164932251},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.436795175075531},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3655250072479248},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.30631041526794434},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07686695456504822}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9634619951248169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8164392709732056},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.7445133924484253},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7128039598464966},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7064446210861206},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6602438688278198},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.629408061504364},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6106065511703491},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5154334306716919},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4749981164932251},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.436795175075531},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3655250072479248},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.30631041526794434},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07686695456504822},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10915-013-9758-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9758-0","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:boa.unimib.it:10281/218240","is_oa":false,"landing_page_url":"https://link.springer.com/article/10.1007%2Fs10915-013-9758-0","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"},{"id":"pmh:oai:cris.unibo.it:11585/384387","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/384387","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":43,"referenced_works":["https://openalex.org/W136185420","https://openalex.org/W211058799","https://openalex.org/W1548892666","https://openalex.org/W1598074861","https://openalex.org/W1674659126","https://openalex.org/W1708679080","https://openalex.org/W1852082788","https://openalex.org/W1966513386","https://openalex.org/W1969462451","https://openalex.org/W1972391795","https://openalex.org/W1979771104","https://openalex.org/W2001118081","https://openalex.org/W2015176885","https://openalex.org/W2029430960","https://openalex.org/W2031804122","https://openalex.org/W2033305412","https://openalex.org/W2033986961","https://openalex.org/W2040933131","https://openalex.org/W2047397639","https://openalex.org/W2051682834","https://openalex.org/W2051751432","https://openalex.org/W2053544741","https://openalex.org/W2062618977","https://openalex.org/W2064909895","https://openalex.org/W2065348520","https://openalex.org/W2075896209","https://openalex.org/W2092973465","https://openalex.org/W2099150268","https://openalex.org/W2130350269","https://openalex.org/W2138486270","https://openalex.org/W2157023312","https://openalex.org/W2166217386","https://openalex.org/W2264571224","https://openalex.org/W2275464662","https://openalex.org/W2318722404","https://openalex.org/W2464997744","https://openalex.org/W3104069888","https://openalex.org/W3149667697","https://openalex.org/W4210444689","https://openalex.org/W4230962563","https://openalex.org/W4252104256","https://openalex.org/W4290828441","https://openalex.org/W6636012039"],"related_works":["https://openalex.org/W1963859447","https://openalex.org/W2162026849","https://openalex.org/W2063794360","https://openalex.org/W2394687667","https://openalex.org/W2524024922","https://openalex.org/W2951275261","https://openalex.org/W4302797167","https://openalex.org/W2343647921","https://openalex.org/W2767510123","https://openalex.org/W4214834736"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}
