{"id":"https://openalex.org/W4411917698","doi":"https://doi.org/10.1017/s0962492925000017","title":"Cut finite element methods","display_name":"Cut finite element methods","publication_year":2025,"publication_date":"2025-07-01","ids":{"openalex":"https://openalex.org/W4411917698","doi":"https://doi.org/10.1017/s0962492925000017"},"language":"en","primary_location":{"id":"doi:10.1017/s0962492925000017","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492925000017","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/97D22C4D003C93666739D1BCF7AEBAF7/S0962492925000017a.pdf/div-class-title-cut-finite-element-methods-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/97D22C4D003C93666739D1BCF7AEBAF7/S0962492925000017a.pdf/div-class-title-cut-finite-element-methods-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011409848","display_name":"Erik Burman","orcid":"https://orcid.org/0000-0003-4287-7241"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Erik Burman","raw_affiliation_strings":["Department of Mathematics, University College London, London, WC1E 6BT, UK E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, London, WC1E 6BT, UK E-mail:","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016292096","display_name":"Peter Hansbo","orcid":"https://orcid.org/0000-0001-7352-1550"},"institutions":[{"id":"https://openalex.org/I94616838","display_name":"J\u00f6nk\u00f6ping University","ror":"https://ror.org/03t54am93","country_code":"SE","type":"education","lineage":["https://openalex.org/I94616838"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Peter Hansbo","raw_affiliation_strings":["Department of Mechanical Engineering, J\u00f6nk\u00f6ping University, 551 11 J\u00f6nk\u00f6ping, Sweden E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, J\u00f6nk\u00f6ping University, 551 11 J\u00f6nk\u00f6ping, Sweden E-mail:","institution_ids":["https://openalex.org/I94616838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077614976","display_name":"Mats G. Larson","orcid":"https://orcid.org/0000-0001-5589-4521"},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Mats G. Larson","raw_affiliation_strings":["Department of Mathematics and Mathematical Statistics, Ume\u00e5 University, 90187 Ume\u00e5, Sweden E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mathematical Statistics, Ume\u00e5 University, 90187 Ume\u00e5, Sweden E-mail:","institution_ids":["https://openalex.org/I90267481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015532555","display_name":"Sara Zahedi","orcid":"https://orcid.org/0000-0002-4911-467X"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Sara Zahedi","raw_affiliation_strings":["Department of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden E-mail:"],"raw_orcid":"https://orcid.org/0000-0002-4911-467X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden E-mail:","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.8915,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97467652,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"34","issue":null,"first_page":"1","last_page":"121"},"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":0.9610999822616577,"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":0.9610999822616577,"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":0.9368000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6236791014671326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5966548919677734},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16275304555892944},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06514054536819458}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6236791014671326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5966548919677734},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16275304555892944},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06514054536819458}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0962492925000017","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492925000017","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/97D22C4D003C93666739D1BCF7AEBAF7/S0962492925000017a.pdf/div-class-title-cut-finite-element-methods-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"},{"id":"pmh:oai:DiVA.org:umu-242269","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-242269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400361","display_name":"DiVA at Ume\u00e5 University (Ume\u00e5 University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I90267481","host_organization_name":"Ume\u00e5 University","host_organization_lineage":["https://openalex.org/I90267481"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10211252","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10211252/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Acta Numerica , 34    pp. 1-121.   (2025)","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1017/s0962492925000017","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492925000017","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/97D22C4D003C93666739D1BCF7AEBAF7/S0962492925000017a.pdf/div-class-title-cut-finite-element-methods-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411917698.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Cut":[0],"finite":[1,8],"element":[2,9],"methods":[3,131],"(CutFEM)":[4],"extend":[5],"the":[6,15,25,34,40,81,98,112],"standard":[7,41],"method":[10,42],"to":[11,27,29,64,130,137],"unfitted":[12],"meshes,":[13],"enabling":[14],"accurate":[16],"resolution":[17],"of":[18,39,80,100],"domain":[19],"boundaries":[20],"and":[21,37,50,84,97,107,135],"interfaces":[22],"without":[23],"requiring":[24],"mesh":[26],"conform":[28],"them.":[30],"This":[31,74],"approach":[32],"preserves":[33],"key":[35,85],"properties":[36],"accuracy":[38],"while":[43],"addressing":[44],"challenges":[45],"posed":[46],"by":[47],"complex":[48],"geometries":[49],"moving":[51],"interfaces.":[52],"In":[53],"recent":[54],"years,":[55],"CutFEM":[56],"has":[57],"gained":[58],"significant":[59],"attention":[60],"for":[61,93,111,118],"its":[62,91],"ability":[63],"discretize":[65],"partial":[66],"differential":[67],"equations":[68],"in":[69,87],"domains":[70],"with":[71,90],"intricate":[72],"geometries.":[73],"paper":[75],"provides":[76],"a":[77],"comprehensive":[78],"review":[79],"core":[82],"concepts":[83],"developments":[86],"CutFEM,":[88],"beginning":[89],"formulation":[92],"common":[94],"model":[95],"problems":[96,139],"presentation":[99],"fundamental":[101],"analytical":[102],"results,":[103],"including":[104],"error":[105],"estimates":[106,110],"condition":[108],"number":[109],"resulting":[113],"algebraic":[114],"systems.":[115],"Stabilization":[116],"techniques":[117],"cut":[119],"elements,":[120],"which":[121],"ensure":[122],"numerical":[123],"robustness,":[124],"are":[125,140],"also":[126],"explored.":[127],"Finally,":[128],"extensions":[129],"involving":[132],"Lagrange":[133],"multipliers":[134],"applications":[136],"time-dependent":[138],"discussed.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
