{"id":"https://openalex.org/W2135254601","doi":"https://doi.org/10.1007/s002110000189","title":"Error analysis for a potential problem on locally refined grids","display_name":"Error analysis for a potential problem on locally refined grids","publication_year":2000,"publication_date":"2000-09-01","ids":{"openalex":"https://openalex.org/W2135254601","doi":"https://doi.org/10.1007/s002110000189","mag":"2135254601"},"language":"en","primary_location":{"id":"doi:10.1007/s002110000189","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110000189","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/A5031252181","display_name":"Takumi Washio","orcid":null},"institutions":[{"id":"https://openalex.org/I118347220","display_name":"NEC (Japan)","ror":"https://ror.org/04jndar25","country_code":"JP","type":"company","lineage":["https://openalex.org/I118347220"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"T. Washio","raw_affiliation_strings":["C&C Media Research Laboratories, NEC Cooperation, 1-1, Miyazaki 4-chome, Miyamae-ku, Kawasaki, Kanagawa 216-8555, Japan; e-mail: washio@ccm.cl.nec.co.jp, , , , , , JP","C&C Media Research Laboratories, NEC Cooperation, 1-1, Miyazaki 4-chome, Miyamae-ku, Kawasaki, Kanagawa 216-8555, Japan; e-mail: washio@ccm.cl.nec.co.jp, , JP"],"affiliations":[{"raw_affiliation_string":"C&C Media Research Laboratories, NEC Cooperation, 1-1, Miyazaki 4-chome, Miyamae-ku, Kawasaki, Kanagawa 216-8555, Japan; e-mail: washio@ccm.cl.nec.co.jp, , , , , , JP","institution_ids":["https://openalex.org/I118347220"]},{"raw_affiliation_string":"C&C Media Research Laboratories, NEC Cooperation, 1-1, Miyazaki 4-chome, Miyamae-ku, Kawasaki, Kanagawa 216-8555, Japan; e-mail: washio@ccm.cl.nec.co.jp, , JP","institution_ids":["https://openalex.org/I118347220"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035408121","display_name":"Cornelis W. Oosterlee","orcid":"https://orcid.org/0000-0002-7322-4094"},"institutions":[{"id":"https://openalex.org/I4210098248","display_name":"Fraunhofer Institute for Algorithms and Scientific Computing","ror":"https://ror.org/00trw9c49","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210098248","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"C.W. Oosterlee","raw_affiliation_strings":["GMD, Institute for Algorithms and Scientific Computing, 53754 Sankt Augustin, Germany; e-mail: oosterlee@gmd.de, , , , , , DE","GMD, Institute for Algorithms and Scientific Computing, 53754 Sankt Augustin, Germany; e-mail: oosterlee@gmd.de, , DE"],"affiliations":[{"raw_affiliation_string":"GMD, Institute for Algorithms and Scientific Computing, 53754 Sankt Augustin, Germany; e-mail: oosterlee@gmd.de, , , , , , DE","institution_ids":["https://openalex.org/I4210098248"]},{"raw_affiliation_string":"GMD, Institute for Algorithms and Scientific Computing, 53754 Sankt Augustin, Germany; e-mail: oosterlee@gmd.de, , DE","institution_ids":["https://openalex.org/I4210098248"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031252181"],"corresponding_institution_ids":["https://openalex.org/I118347220"],"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":0.18571164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"86","issue":"3","first_page":"539","last_page":"563"},"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":0.9962999820709229,"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":0.9962999820709229,"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":0.9916999936103821,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9760000109672546,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7108335494995117},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6307790875434875},{"id":"https://openalex.org/keywords/solvation","display_name":"Solvation","score":0.6070929765701294},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.5880861282348633},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.513717532157898},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.49515095353126526},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46769097447395325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4473256766796112},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.43707531690597534},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.42462098598480225},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3686462938785553},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3329538106918335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26217424869537354},{"id":"https://openalex.org/keywords/molecule","display_name":"Molecule","score":0.16556450724601746},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.16027066111564636},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14795595407485962}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7108335494995117},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6307790875434875},{"id":"https://openalex.org/C148093993","wikidata":"https://www.wikidata.org/wiki/Q739398","display_name":"Solvation","level":3,"score":0.6070929765701294},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.5880861282348633},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.513717532157898},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.49515095353126526},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46769097447395325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4473256766796112},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.43707531690597534},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.42462098598480225},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3686462938785553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3329538106918335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26217424869537354},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.16556450724601746},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.16027066111564636},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14795595407485962},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s002110000189","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110000189","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"},{"id":"pmh:oai:fraunhofer.de:N-39073","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-39073.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer SCAI","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/196764","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/196764","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W656657393","https://openalex.org/W1507795625","https://openalex.org/W1572639095","https://openalex.org/W1630513331","https://openalex.org/W1998461805","https://openalex.org/W2012492661","https://openalex.org/W2098174699","https://openalex.org/W2131201939","https://openalex.org/W2177731497"],"related_works":["https://openalex.org/W2501988474","https://openalex.org/W2021837978","https://openalex.org/W2072647882","https://openalex.org/W1994717757","https://openalex.org/W2001529763","https://openalex.org/W2295047789","https://openalex.org/W2047144947","https://openalex.org/W1973971110","https://openalex.org/W4226238329","https://openalex.org/W4361230184"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
