{"id":"https://openalex.org/W2071722436","doi":"https://doi.org/10.1137/s1064827592234314","title":"The Number of Coarse-Grid Iterations Every Cycle for the Two-Grid Method","display_name":"The Number of Coarse-Grid Iterations Every Cycle for the Two-Grid Method","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2071722436","doi":"https://doi.org/10.1137/s1064827592234314","mag":"2071722436"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827592234314","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827592234314","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 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/A5011934907","display_name":"Lars Ferm","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lars Ferm","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5011934907"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5194,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66098022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"2","first_page":"493","last_page":"501"},"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":0.9948999881744385,"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":0.9948999881744385,"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":0.9865999817848206,"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/T13785","display_name":"Aquatic and Environmental Studies","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.8250478506088257},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.8036808967590332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6761823296546936},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.563662052154541},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47840675711631775},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4702920913696289},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.4563170373439789},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4117039144039154},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.36760789155960083},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36227554082870483},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3019856810569763},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.271241694688797},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1622246503829956},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.09660837054252625}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8250478506088257},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.8036808967590332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6761823296546936},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.563662052154541},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47840675711631775},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4702920913696289},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.4563170373439789},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4117039144039154},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.36760789155960083},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36227554082870483},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3019856810569763},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.271241694688797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1622246503829956},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.09660837054252625},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827592234314","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827592234314","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1987948745","https://openalex.org/W2070867550","https://openalex.org/W2115881792","https://openalex.org/W2130322089"],"related_works":["https://openalex.org/W2155580710","https://openalex.org/W2092715288","https://openalex.org/W1829524267","https://openalex.org/W2480293228","https://openalex.org/W2470564987","https://openalex.org/W297484732","https://openalex.org/W2083442523","https://openalex.org/W2392034409","https://openalex.org/W2478182825","https://openalex.org/W2051959467"],"abstract_inverted_index":{"The":[0,11,21,62],"numerical":[1],"solution":[2],"of":[3,13,36,43],"flow":[4],"problems":[5,67],"with":[6,68],"multigrid":[7],"techniques":[8],"is":[9,19,24,59],"considered.":[10],"use":[12],"extra":[14],"iterations":[15,37],"on":[16,39,55],"coarser":[17],"grids":[18],"investigated.":[20],"two-grid":[22],"method":[23],"analyzed":[25],"for":[26,66],"model":[27],"problems.":[28],"It":[29],"turns":[30],"out":[31],"that":[32],"the":[33,40,44,50],"optimum":[34],"number":[35],"depends":[38],"mesh":[41],"size":[42],"fine":[45],"grid.":[46],"Numerical":[47],"examples":[48],"verify":[49],"results.":[51],"A":[52],"short":[53],"discussion":[54],"more":[56],"grid":[57],"levels":[58],"also":[60],"given.":[61],"results":[63],"are":[64],"applicable":[65],"open":[69],"boundaries.":[70]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}