{"id":"https://openalex.org/W3081236348","doi":"https://doi.org/10.1007/s10915-021-01544-6","title":"Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem","display_name":"Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem","publication_year":2021,"publication_date":"2021-06-23","ids":{"openalex":"https://openalex.org/W3081236348","doi":"https://doi.org/10.1007/s10915-021-01544-6","mag":"3081236348"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01544-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01544-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2008.09668","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, UK\u2013WC1E 6BT, United Kingdom","Department of Mathematics, University College London, London, United Kingdom,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, Gower Street, London, UK\u2013WC1E 6BT, United Kingdom","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Department of Mathematics, University College London, London, United Kingdom,","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090050766","display_name":"Cuiyu He","orcid":"https://orcid.org/0000-0003-1556-2682"},"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":"Cuiyu He","raw_affiliation_strings":["Department of Mathematics, University College London, Gower Street, London, UK\u2013WC1E 6BT, United Kingdom","Department of Mathematics, University College London, London, United Kingdom,"],"raw_orcid":"https://orcid.org/0000-0003-1556-2682","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, Gower Street, London, UK\u2013WC1E 6BT, United Kingdom","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Department of Mathematics, University College London, London, United Kingdom,","institution_ids":["https://openalex.org/I45129253"]}]},{"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":false,"raw_author_name":"Mats G. Larson","raw_affiliation_strings":["Department of Mathematics and Mathematical Statistics, Ume\u00e5University, SE-90187, Ume\u00e5, Sweden","Department of Mathematics and Mathematical Statistics, Ume\u00e5University, Ume\u00e5, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mathematical Statistics, Ume\u00e5University, SE-90187, Ume\u00e5, Sweden","institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I90267481"]},{"raw_affiliation_string":"Department of Mathematics and Mathematical Statistics, Ume\u00e5University, Ume\u00e5, Sweden","institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I90267481"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00579106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"88","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9987000226974487,"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":0.9973000288009644,"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/discretization","display_name":"Discretization","score":0.700931191444397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6089626550674438},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5892801880836487},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5867335200309753},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.5288941264152527},{"id":"https://openalex.org/keywords/material-derivative","display_name":"Material derivative","score":0.4533686637878418},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.44474610686302185},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.4444258511066437},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.4267261028289795},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4213695228099823},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41948026418685913},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3857700228691101},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26363715529441833}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.700931191444397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6089626550674438},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5892801880836487},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5867335200309753},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.5288941264152527},{"id":"https://openalex.org/C111915175","wikidata":"https://www.wikidata.org/wiki/Q1801562","display_name":"Material derivative","level":2,"score":0.4533686637878418},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.44474610686302185},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.4444258511066437},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.4267261028289795},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4213695228099823},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41948026418685913},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3857700228691101},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26363715529441833},{"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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10915-021-01544-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01544-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2008.09668","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.09668","pdf_url":"https://arxiv.org/pdf/2008.09668","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:3081236348","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2008.09668","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10131329","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10131329/","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":"   Journal of Scientific Computing , 88     , Article 35. (2021)      ","raw_type":"Article"},{"id":"doi:10.48550/arxiv.2008.09668","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2008.09668","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2008.09668","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.09668","pdf_url":"https://arxiv.org/pdf/2008.09668","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"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/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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1511424556","https://openalex.org/W1964923523","https://openalex.org/W1983065871","https://openalex.org/W1992271632","https://openalex.org/W1994875376","https://openalex.org/W2003544622","https://openalex.org/W2004162158","https://openalex.org/W2016413885","https://openalex.org/W2026500470","https://openalex.org/W2030604754","https://openalex.org/W2040896717","https://openalex.org/W2041494914","https://openalex.org/W2042669113","https://openalex.org/W2050833124","https://openalex.org/W2079423956","https://openalex.org/W2084377449","https://openalex.org/W2088243524","https://openalex.org/W2088880127","https://openalex.org/W2101560656","https://openalex.org/W2106369959","https://openalex.org/W2132034927","https://openalex.org/W2241065585","https://openalex.org/W2246232185","https://openalex.org/W2318138446","https://openalex.org/W2324378073","https://openalex.org/W2488917107","https://openalex.org/W2520137174","https://openalex.org/W2552241281","https://openalex.org/W2586197554","https://openalex.org/W2734438183","https://openalex.org/W2767049640","https://openalex.org/W2891396218","https://openalex.org/W2899964107","https://openalex.org/W2963067150","https://openalex.org/W2964135693","https://openalex.org/W2971574404","https://openalex.org/W3000142798","https://openalex.org/W3134671735","https://openalex.org/W4232436864","https://openalex.org/W4236938392","https://openalex.org/W4293183906"],"related_works":["https://openalex.org/W2550301261","https://openalex.org/W2949413467","https://openalex.org/W3135582464","https://openalex.org/W2546426324","https://openalex.org/W51131204","https://openalex.org/W2063818255","https://openalex.org/W2120551113","https://openalex.org/W2757453382","https://openalex.org/W3007212704","https://openalex.org/W2507251424","https://openalex.org/W1967394916","https://openalex.org/W361010320","https://openalex.org/W2096945473","https://openalex.org/W2953652886","https://openalex.org/W1559471562","https://openalex.org/W1031073620","https://openalex.org/W2742559260","https://openalex.org/W1793671513","https://openalex.org/W2767766007","https://openalex.org/W2338851539"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}