{"id":"https://openalex.org/W3121829928","doi":"https://doi.org/10.1007/s00211-022-01313-z","title":"CutFEM based on extended finite element spaces","display_name":"CutFEM based on extended finite element spaces","publication_year":2022,"publication_date":"2022-09-13","ids":{"openalex":"https://openalex.org/W3121829928","doi":"https://doi.org/10.1007/s00211-022-01313-z","mag":"3121829928"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-022-01313-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-022-01313-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-022-01313-z.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-022-01313-z.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, Gower Street, London WC1E 6BT, UK","Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK","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/I4210146713","display_name":"CellProtect Nordic Pharmaceuticals (Sweden)","ror":"https://ror.org/04054a724","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210146713"]},{"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, Jnkping University, 551 11, Jnkping, Sweden","Department of Mechanical Engineering, J\u00f6nk\u00f6ping University, 551\u00a011, J\u00f6nk\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Jnkping University, 551 11, Jnkping, Sweden","institution_ids":["https://openalex.org/I4210146713"]},{"raw_affiliation_string":"Department of Mechanical Engineering, J\u00f6nk\u00f6ping University, 551\u00a011, J\u00f6nk\u00f6ping, Sweden","institution_ids":["https://openalex.org/I94616838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077614976","display_name":"Mats G. Larson","orcid":"https://orcid.org/0000-0001-5589-4521"},"institutions":[{"id":"https://openalex.org/I1279596006","display_name":"Statistics Sweden","ror":"https://ror.org/05x7wz523","country_code":"SE","type":"government","lineage":["https://openalex.org/I1279596006"]},{"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":true,"raw_author_name":"Mats G. Larson","raw_affiliation_strings":["Department of Mathematics and Mathematical Statistics, Ume University, 901 87, Ume, Sweden","Department of Mathematics and Mathematical Statistics, Ume\u00e5\u00a0University, 901\u00a087, Ume\u00e5, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mathematical Statistics, Ume University, 901 87, Ume, Sweden","institution_ids":["https://openalex.org/I90267481","https://openalex.org/I1279596006"]},{"raw_affiliation_string":"Department of Mathematics and Mathematical Statistics, Ume\u00e5\u00a0University, 901\u00a087, Ume\u00e5, Sweden","institution_ids":["https://openalex.org/I90267481"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077614976"],"corresponding_institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I90267481"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":4.8127,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.96428463,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"152","issue":"2","first_page":"331","last_page":"369"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/biharmonic-equation","display_name":"Biharmonic equation","score":0.8632053732872009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7910598516464233},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7177298069000244},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6593698263168335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5243411660194397},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.5238642692565918},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5132665634155273},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5083646178245544},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.47515130043029785},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.4523218870162964},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.43954646587371826},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.4308106601238251},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.42131465673446655},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.41917213797569275},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.41004854440689087},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3446025848388672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09848597645759583}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.8632053732872009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7910598516464233},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7177298069000244},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6593698263168335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5243411660194397},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.5238642692565918},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5132665634155273},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5083646178245544},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.47515130043029785},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.4523218870162964},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.43954646587371826},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.4308106601238251},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.42131465673446655},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.41917213797569275},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.41004854440689087},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3446025848388672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09848597645759583},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-022-01313-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-022-01313-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-022-01313-z.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:DiVA.org:umu-199848","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-199848","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":"","raw_type":"Article in journal"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10157284","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10157284/","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":"   Numerische Mathematik , 152  (2)   pp. 331-369.   (2022)      ","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s00211-022-01313-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-022-01313-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-022-01313-z.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G1113386463","display_name":null,"funder_award_id":"2017-03911","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G1982737232","display_name":null,"funder_award_id":"EP/P01576X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4508523442","display_name":null,"funder_award_id":"2021-04925","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G5933223730","display_name":null,"funder_award_id":"2021-04925","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G712881263","display_name":null,"funder_award_id":"2018-","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G7829810875","display_name":null,"funder_award_id":"2018-05262","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G7884004242","display_name":null,"funder_award_id":"2017-03911","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G797993351","display_name":"Geometrically unfitted finite element methods for inverse identification of geometries and shape optimization","funder_award_id":"EP/P01576X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3121829928.pdf","grobid_xml":"https://content.openalex.org/works/W3121829928.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1479835491","https://openalex.org/W1488877410","https://openalex.org/W1492326914","https://openalex.org/W1572985915","https://openalex.org/W1586623601","https://openalex.org/W1597209545","https://openalex.org/W1896214304","https://openalex.org/W1990603227","https://openalex.org/W1999506541","https://openalex.org/W2009985306","https://openalex.org/W2017605853","https://openalex.org/W2020152794","https://openalex.org/W2024542950","https://openalex.org/W2026370306","https://openalex.org/W2035902220","https://openalex.org/W2040896717","https://openalex.org/W2068543868","https://openalex.org/W2082621526","https://openalex.org/W2094134692","https://openalex.org/W2096029655","https://openalex.org/W2134719842","https://openalex.org/W2152632340","https://openalex.org/W2199169705","https://openalex.org/W2246232185","https://openalex.org/W2296797252","https://openalex.org/W2320448330","https://openalex.org/W2621368410","https://openalex.org/W2757762990","https://openalex.org/W2770062184","https://openalex.org/W2799407182","https://openalex.org/W2884926850","https://openalex.org/W2962699955","https://openalex.org/W2962974623","https://openalex.org/W2964267197","https://openalex.org/W3035278326","https://openalex.org/W3098570641","https://openalex.org/W4236938392","https://openalex.org/W4249274673","https://openalex.org/W4283591233"],"related_works":["https://openalex.org/W2370147615","https://openalex.org/W4300324686","https://openalex.org/W2764213878","https://openalex.org/W4281485387","https://openalex.org/W2027514640","https://openalex.org/W1949917195","https://openalex.org/W2394496373","https://openalex.org/W2217620559","https://openalex.org/W4287368942","https://openalex.org/W3121829928"],"abstract_inverted_index":{"Abstract":[0],"We":[1,108,130],"develop":[2,109],"a":[3,53,83,126],"general":[4,42],"framework":[5,93],"for":[6,113],"construction":[7],"and":[8,37,106,116,124,151],"analysis":[9],"of":[10,21,57,103,137,141],"discrete":[11],"extension":[12,49],"operators":[13,50],"with":[14],"application":[15],"to":[16,63,96,134],"unfitted":[17,26],"finite":[18,59,69,101],"element":[19,60,70],"approximation":[20,90],"partial":[22,121,138],"differential":[23,122,139],"equations.":[24],"In":[25],"methods":[27],"so":[28],"called":[29],"cut":[30],"elements":[31,39,78,102],"intersected":[32],"by":[33,43,55],"the":[34,58,64,68,75,80,145,148,152],"boundary":[35,81],"occur":[36],"these":[38],"must":[40],"in":[41,45,82],"stabilized":[44],"some":[46,135],"way.":[47],"Discrete":[48],"provides":[51],"such":[52],"stabilization":[54],"modification":[56],"space":[61,71],"close":[62],"boundary.":[65],"More,":[66],"precisely":[67],"is":[72,94],"extended":[73],"from":[74],"stable":[76,84],"interior":[77],"over":[79],"way":[85],"which":[86],"also":[87],"guarantees":[88],"optimal":[89],"properties.":[91],"Our":[92],"applicable":[95],"all":[97],"standard":[98],"nodal":[99],"based":[100],"various":[104],"order":[105,143,154],"regularity.":[107],"an":[110],"abstract":[111],"theory":[112],"elliptic":[114],"problems":[115],"associated":[117],"parabolic":[118],"time":[119],"dependent":[120],"equations":[123,140],"derive":[125],"priori":[127],"error":[128],"estimates.":[129],"finally":[131],"apply":[132],"this":[133],"examples":[136],"different":[142],"including":[144],"interface":[146],"problems,":[147],"biharmonic":[149],"operator":[150],"sixth":[153],"triharmonic":[155],"operator.":[156]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}