{"id":"https://openalex.org/W2014151113","doi":"https://doi.org/10.1007/s00211-004-0561-6","title":"Convergence analysis of trial free boundary methods for the two-dimensional filtration problem","display_name":"Convergence analysis of trial free boundary methods for the two-dimensional filtration problem","publication_year":2005,"publication_date":"2005-04-06","ids":{"openalex":"https://openalex.org/W2014151113","doi":"https://doi.org/10.1007/s00211-004-0561-6","mag":"2014151113"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-004-0561-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-004-0561-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5056423526","display_name":"Takashi Suzuki","orcid":"https://orcid.org/0000-0002-0203-5587"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takashi Suzuki","raw_affiliation_strings":["Division of Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, 560-0043, Japan","Osaka University"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, 560-0043, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Osaka University","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045241759","display_name":"Takuya Tsuchiya","orcid":"https://orcid.org/0000-0002-0005-1663"},"institutions":[{"id":"https://openalex.org/I43545212","display_name":"Ehime University","ror":"https://ror.org/017hkng22","country_code":"JP","type":"education","lineage":["https://openalex.org/I43545212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takuya Tsuchiya","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Ehime University, Matsuyama, 790-8577, Japan","Ehime University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Ehime University, Matsuyama, 790-8577, Japan","institution_ids":["https://openalex.org/I43545212"]},{"raw_affiliation_string":"Ehime University","institution_ids":["https://openalex.org/I43545212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056423526"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.13309402,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"100","issue":"3","first_page":"537","last_page":"564"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9991000294685364,"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":0.7899529933929443},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7847786545753479},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.7061097025871277},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.6909939646720886},{"id":"https://openalex.org/keywords/filtration","display_name":"Filtration (mathematics)","score":0.6705077886581421},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.5973695516586304},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5077539682388306},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.503262460231781},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4438106417655945},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.442584753036499},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43730130791664124},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1522221565246582},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12424784898757935}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7899529933929443},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7847786545753479},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.7061097025871277},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6909939646720886},{"id":"https://openalex.org/C128489963","wikidata":"https://www.wikidata.org/wiki/Q1187724","display_name":"Filtration (mathematics)","level":2,"score":0.6705077886581421},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.5973695516586304},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5077539682388306},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.503262460231781},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4438106417655945},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.442584753036499},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43730130791664124},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1522221565246582},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12424784898757935},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-004-0561-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-004-0561-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W200706677","https://openalex.org/W1953994949","https://openalex.org/W1969830104","https://openalex.org/W1976214542","https://openalex.org/W1985310087","https://openalex.org/W1986186944","https://openalex.org/W1999866377","https://openalex.org/W2001867001","https://openalex.org/W2064685239","https://openalex.org/W2085106812","https://openalex.org/W2090299885","https://openalex.org/W2094423895","https://openalex.org/W2095511141","https://openalex.org/W2161989668","https://openalex.org/W2339666292","https://openalex.org/W2475464023","https://openalex.org/W2477037206","https://openalex.org/W2588900928","https://openalex.org/W2735213003","https://openalex.org/W2741517193","https://openalex.org/W4243953089"],"related_works":["https://openalex.org/W2083061485","https://openalex.org/W2997842411","https://openalex.org/W2392707140","https://openalex.org/W2028320454","https://openalex.org/W2519255911","https://openalex.org/W2016617075","https://openalex.org/W2953139458","https://openalex.org/W2138492073","https://openalex.org/W2038269350","https://openalex.org/W1998008340"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
