{"id":"https://openalex.org/W2088216207","doi":"https://doi.org/10.1002/(sici)1099-1506(199611/12)3:6<525::aid-nla94>3.0.co;2-x","title":"The Potential Fluid Flow Problem and the Convergence Rate of the Minimal Residual Method","display_name":"The Potential Fluid Flow Problem and the Convergence Rate of the Minimal Residual Method","publication_year":1996,"publication_date":"1996-11-01","ids":{"openalex":"https://openalex.org/W2088216207","doi":"https://doi.org/10.1002/(sici)1099-1506(199611/12)3:6<525::aid-nla94>3.0.co;2-x","mag":"2088216207"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1099-1506(199611/12)3:6<525::aid-nla94>3.0.co;2-x","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199611/12)3:6<525::aid-nla94>3.0.co;2-x","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with 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/A5063705811","display_name":"Ji\u0159\u00ed Mary\u0161ka","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Ji\u0159\u00ed Mary\u0161ka","raw_affiliation_strings":["Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod voda\u0301renskou ve\u030cz\u030ci 2, 182 07 Prague 8, Czech Republic","Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vod\u00e1renskou v\u011b\u017ei 2, 182 07 Prague 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod voda\u0301renskou ve\u030cz\u030ci 2, 182 07 Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]},{"raw_affiliation_string":"Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vod\u00e1renskou v\u011b\u017ei 2, 182 07 Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021558586","display_name":"Miroslav Rozlo\u017ezn\u00edk","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Miroslav Rozlo\u017ezn\u00edk","raw_affiliation_strings":["Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod voda\u0301renskou ve\u030cz\u030ci 2, 182 07 Prague 8, Czech Republic","Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vod\u00e1renskou v\u011b\u017ei 2, 182 07 Prague 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod voda\u0301renskou ve\u030cz\u030ci 2, 182 07 Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]},{"raw_affiliation_string":"Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vod\u00e1renskou v\u011b\u017ei 2, 182 07 Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053422141","display_name":"Miroslav T\u016fma","orcid":"https://orcid.org/0000-0003-2808-6929"},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Miroslav T\u016fma","raw_affiliation_strings":["Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod voda\u0301renskou ve\u030cz\u030ci 2, 182 07 Prague 8, Czech Republic","Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vod\u00e1renskou v\u011b\u017ei 2, 182 07 Prague 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod voda\u0301renskou ve\u030cz\u030ci 2, 182 07 Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]},{"raw_affiliation_string":"Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vod\u00e1renskou v\u011b\u017ei 2, 182 07 Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063705811"],"corresponding_institution_ids":["https://openalex.org/I4210155092"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.19787613,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"3","issue":"6","first_page":"525","last_page":"542"},"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":0.9994999766349792,"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":0.9994999766349792,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8790731430053711},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6799551844596863},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6373006105422974},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6020960807800293},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.583381175994873},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5393000245094299},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5303806662559509},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5207381248474121},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.47386693954467773},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4418129324913025},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14994916319847107},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06423968076705933}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8790731430053711},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6799551844596863},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6373006105422974},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6020960807800293},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.583381175994873},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5393000245094299},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5303806662559509},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5207381248474121},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.47386693954467773},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4418129324913025},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14994916319847107},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06423968076705933},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/(sici)1099-1506(199611/12)3:6<525::aid-nla94>3.0.co;2-x","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199611/12)3:6<525::aid-nla94>3.0.co;2-x","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.40.6808","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.6808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.uivt.cas.cz/~miro/ps/mrt96.ps","raw_type":"text"},{"id":"pmh:oai:invenio.nusl.cz:33586","is_oa":false,"landing_page_url":"http://www.nusl.cz/ntk/nusl-33586","pdf_url":null,"source":{"id":"https://openalex.org/S4306402266","display_name":"Digital Repository (National Repository of Grey Literature)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79620101","host_organization_name":"University of Arkansas for Medical Sciences","host_organization_lineage":["https://openalex.org/I79620101"],"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/report"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1595604189","https://openalex.org/W1982602023","https://openalex.org/W1999331305","https://openalex.org/W2018850201","https://openalex.org/W2019327644","https://openalex.org/W2028941327","https://openalex.org/W2029367872","https://openalex.org/W2072600208","https://openalex.org/W2082001547","https://openalex.org/W2085581918","https://openalex.org/W2177784766","https://openalex.org/W4244968939","https://openalex.org/W6635443779"],"related_works":["https://openalex.org/W2298446516","https://openalex.org/W4300808424","https://openalex.org/W2950071265","https://openalex.org/W3046880536","https://openalex.org/W2059582906","https://openalex.org/W2950052959","https://openalex.org/W2012246388","https://openalex.org/W1987597427","https://openalex.org/W4292512682","https://openalex.org/W3140898507"],"abstract_inverted_index":{"In":[0],"the":[1,3,15,48,64,71,75],"paper":[2],"potential":[4],"fluic":[5],"flow":[6],"problem":[7],"in":[8],"porous":[9],"media":[10],"using":[11],"Darcy's":[12],"law":[13],"and":[14,63],"continuity":[16],"equation":[17],"is":[18,30,57],"solved.":[19],"Mixed-hybrid":[20],"finite":[21],"element":[22],"formulation":[23],"based":[24],"on":[25,70],"general":[26],"trilateral":[27],"prismatic":[28],"elements":[29],"considered.":[31],"Spectral":[32],"properties":[33],"of":[34,39,50,61,74],"resulting":[35],"symmetric":[36,54],"indefinite":[37,55],"system":[38,76],"linear":[40],"equations":[41],"are":[42,78],"examined.":[43],"Minimal":[44],"residual":[45],"method":[46],"for":[47],"solution":[49],"systems":[51],"with":[52],"a":[53],"matrix":[56,77],"applied.":[58],"The":[59],"rate":[60],"convergence":[62,66],"asymptotic":[65],"factor":[67],"which":[68],"depend":[69],"eigenvalue":[72],"distribution":[73],"estimated.":[79]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}