{"id":"https://openalex.org/W4408867646","doi":"https://doi.org/10.1007/s10208-025-09698-7","title":"Adaptive Mesh Refinement for Arbitrary Initial Triangulations","display_name":"Adaptive Mesh Refinement for Arbitrary Initial Triangulations","publication_year":2025,"publication_date":"2025-03-24","ids":{"openalex":"https://openalex.org/W4408867646","doi":"https://doi.org/10.1007/s10208-025-09698-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-025-09698-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-025-09698-7","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s10208-025-09698-7","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010484841","display_name":"Lars Diening","orcid":"https://orcid.org/0000-0002-0523-3079"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lars Diening","raw_affiliation_strings":["Department of Mathematics, Bielefeld University, Postfach 10 01 31, 33501, Bielefeld, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bielefeld University, Postfach 10 01 31, 33501, Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028287515","display_name":"Lukas Gehring","orcid":null},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lukas Gehring","raw_affiliation_strings":["Department of Mathematics, Friedrich-Schiller-Universit\u00e4t Jena, Ernst-Abbe-Platz 2, 07743, Jena, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Friedrich-Schiller-Universit\u00e4t Jena, Ernst-Abbe-Platz 2, 07743, Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089019825","display_name":"Johannes Storn","orcid":"https://orcid.org/0000-0003-1520-6557"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Storn","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Institute of Mathematics, Leipzig University, Augustusplatz 10, 04109, Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Institute of Mathematics, Leipzig University, Augustusplatz 10, 04109, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010484841"],"corresponding_institution_ids":["https://openalex.org/I20121455"],"apc_list":{"value":2290,"currency":"USD","value_usd":2290},"apc_paid":{"value":2290,"currency":"USD","value_usd":2290},"fwci":5.8204,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.95323741,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"26","issue":"3","first_page":"1193","last_page":"1218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9987999796867371,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987999796867371,"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/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.7749713063240051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6779966354370117},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5124924182891846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3757760524749756},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3550257384777069},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3274116516113281},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3253830075263977},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.21914830803871155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19790247082710266}],"concepts":[{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.7749713063240051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6779966354370117},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5124924182891846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3757760524749756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3550257384777069},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3274116516113281},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3253830075263977},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.21914830803871155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19790247082710266}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-025-09698-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-025-09698-7","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10208-025-09698-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-025-09698-7","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323389","display_name":"Universit\u00e4t Bielefeld","ror":"https://ror.org/02hpadn98"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1970898459","https://openalex.org/W1978687734","https://openalex.org/W2024506048","https://openalex.org/W2026409663","https://openalex.org/W2026732627","https://openalex.org/W2033942659","https://openalex.org/W2039924562","https://openalex.org/W2044959876","https://openalex.org/W2071182807","https://openalex.org/W2072811159","https://openalex.org/W2084672174","https://openalex.org/W2084743165","https://openalex.org/W2088963353","https://openalex.org/W2092037996","https://openalex.org/W2096545304","https://openalex.org/W2103343860","https://openalex.org/W2124214067","https://openalex.org/W2137498124","https://openalex.org/W2153219336","https://openalex.org/W2171737318","https://openalex.org/W2280001613","https://openalex.org/W2963109031","https://openalex.org/W3102639848","https://openalex.org/W4245654886","https://openalex.org/W4375957169","https://openalex.org/W4376166823","https://openalex.org/W6920853059"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W334897171","https://openalex.org/W2980963558","https://openalex.org/W2307043913","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W2522254948","https://openalex.org/W1992365905","https://openalex.org/W4285308861"],"abstract_inverted_index":{"Abstract":[0],"We":[1,35],"introduce":[2],"a":[3],"simple":[4],"initialization":[5,42],"of":[6,32,61,71],"the":[7,30,54,68],"Maubach":[8],"bisection":[9],"routine":[10,39],"for":[11,58,67],"adaptive":[12,62],"mesh":[13],"refinement":[14],"which":[15],"applies":[16],"to":[17,29],"any":[18],"conforming":[19],"initial":[20,33],"triangulation":[21],"and":[22,45,52],"terminates":[23,44],"in":[24],"linear":[25],"time":[26],"with":[27,40],"respect":[28],"number":[31],"vertices.":[34],"show":[36],"that":[37,48],"Maubach\u2019s":[38],"this":[41],"always":[43],"generates":[46],"meshes":[47],"preserve":[49],"shape":[50],"regularity":[51],"satisfy":[53],"closure":[55],"estimate":[56],"needed":[57],"optimal":[59],"convergence":[60],"schemes.":[63],"Our":[64],"ansatz":[65],"allows":[66],"intrinsic":[69],"use":[70],"existing":[72],"implementations.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}