{"id":"https://openalex.org/W1989303941","doi":"https://doi.org/10.1137/130940268","title":"Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincar\u00e9--Friedrichs Inequality","display_name":"Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincar\u00e9--Friedrichs Inequality","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1989303941","doi":"https://doi.org/10.1137/130940268","mag":"1989303941"},"language":"en","primary_location":{"id":"doi:10.1137/130940268","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130940268","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5072235464","display_name":"Owe Axelsson","orcid":"https://orcid.org/0000-0001-8753-2429"},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Owe Axelsson","raw_affiliation_strings":["Czech Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Academy of Sciences","institution_ids":["https://openalex.org/I202391551"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015893945","display_name":"J\u00e1nos Kar\u00e1tson","orcid":"https://orcid.org/0000-0003-1369-7743"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"J\u00e1nos Kar\u00e1tson","raw_affiliation_strings":["E\u00f6tv\u00f6s L\u00f3r\u00e1nd Tudom\u00e1nyegyetem"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s L\u00f3r\u00e1nd Tudom\u00e1nyegyetem","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064569438","display_name":"Bal\u00e1zs Kov\u00e1cs","orcid":"https://orcid.org/0000-0001-9872-3474"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Bal\u00e1zs Kov\u00e1cs","raw_affiliation_strings":["E\u00f6tv\u00f6s Lorand University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s Lorand University","institution_ids":["https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0594808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"52","issue":"6","first_page":"2957","last_page":"2976"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9993000030517578,"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":0.9990000128746033,"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/preconditioner","display_name":"Preconditioner","score":0.8812334537506104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7655029892921448},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.6111458539962769},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.5958338975906372},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5055675506591797},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.49886250495910645},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4967685341835022},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44079506397247314},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.436362624168396},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.42639482021331787},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3787413537502289},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12646180391311646},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11137890815734863},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.06625685095787048}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8812334537506104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7655029892921448},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.6111458539962769},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5958338975906372},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5055675506591797},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.49886250495910645},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4967685341835022},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44079506397247314},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.436362624168396},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.42639482021331787},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3787413537502289},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12646180391311646},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11137890815734863},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.06625685095787048},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130940268","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130940268","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0438696","is_oa":false,"landing_page_url":"https://asep.lib.cas.cz/arl-cav/cs/vyzadani/?idx=cav_un_epca*0438696&repo=crepo1&key=80158089852","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","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":21,"referenced_works":["https://openalex.org/W79873316","https://openalex.org/W1519509134","https://openalex.org/W1546004968","https://openalex.org/W1583880678","https://openalex.org/W1965055276","https://openalex.org/W1971226336","https://openalex.org/W2009441498","https://openalex.org/W2030202825","https://openalex.org/W2037644145","https://openalex.org/W2052121881","https://openalex.org/W2066610136","https://openalex.org/W2068395392","https://openalex.org/W2069601896","https://openalex.org/W2072835905","https://openalex.org/W2093664623","https://openalex.org/W2123601852","https://openalex.org/W2132719389","https://openalex.org/W2133248904","https://openalex.org/W2140153041","https://openalex.org/W2246376430","https://openalex.org/W3141151088"],"related_works":["https://openalex.org/W2357336958","https://openalex.org/W4281839678","https://openalex.org/W152950973","https://openalex.org/W2535797495","https://openalex.org/W2300963337","https://openalex.org/W2283235658","https://openalex.org/W3162287216","https://openalex.org/W2108077990","https://openalex.org/W2058487055","https://openalex.org/W2386371716"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,22,31,37,57],"devoted":[3],"to":[4,54],"the":[5,25,34,43,55],"streamline":[6,26],"diffusion":[7,27],"finite":[8],"element":[9],"method,":[10],"combined":[11],"with":[12],"equivalent":[13],"preconditioning,":[14],"for":[15,47],"solving":[16],"convection-dominated":[17],"elliptic":[18],"problems.":[19],"The":[20,52],"preconditioner":[21],"obtained":[23,35],"from":[24],"inner":[28],"product.":[29],"It":[30],"proved":[32],"that":[33],"convergence":[36],"robust,":[38],"i.e.,":[39],"bounded":[40],"independently":[41],"of":[42],"perturbation":[44],"parameter":[45],"$\\varepsilon$,":[46],"proper":[48],"convection":[49],"vector":[50],"fields.":[51],"key":[53],"estimates":[56],"an":[58],"improved":[59],"\u201cstreamline\"":[60],"Poincar\u00e9--Friedrichs":[61],"inequality.":[62]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}