{"id":"https://openalex.org/W2801907241","doi":"https://doi.org/10.1137/18m1185697","title":"CutFEM Method for Stefan--Signorini Problems with Application in Pulsed Laser Ablation","display_name":"CutFEM Method for Stefan--Signorini Problems with Application in Pulsed Laser Ablation","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2801907241","doi":"https://doi.org/10.1137/18m1185697","mag":"2801907241"},"language":"en","primary_location":{"id":"doi:10.1137/18m1185697","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1185697","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/1805.01925","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083587846","display_name":"Susanne Claus","orcid":"https://orcid.org/0000-0001-9014-5278"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Susanne Claus","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061741441","display_name":"Samuel Bigot","orcid":"https://orcid.org/0000-0002-0789-4727"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Samuel Bigot","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014555327","display_name":"Pierre Kerfriden","orcid":"https://orcid.org/0000-0002-7749-3996"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pierre Kerfriden","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083587846"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1974,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46607192,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"40","issue":"5","first_page":"B1444","last_page":"B1469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9987999796867371,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983999729156494,"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/T10670","display_name":"Aluminum Alloy Microstructure Properties","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/stefan-problem","display_name":"Stefan problem","score":0.8903626799583435},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7099881768226624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6270880699157715},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5423970222473145},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5168017148971558},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.4324708580970764},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4001806080341339},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3817281126976013},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3666258454322815},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2920200228691101}],"concepts":[{"id":"https://openalex.org/C2778021227","wikidata":"https://www.wikidata.org/wiki/Q3775789","display_name":"Stefan problem","level":3,"score":0.8903626799583435},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7099881768226624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6270880699157715},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5423970222473145},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5168017148971558},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.4324708580970764},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4001806080341339},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3817281126976013},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3666258454322815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2920200228691101},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/18m1185697","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1185697","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:125377","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1805.01925","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.01925","pdf_url":"https://arxiv.org/pdf/1805.01925","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:2801907241","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1805.01925","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:HAL:hal-02059019v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02059019","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"SIAM Journal on Scientific Computing, 2018, 40 (5), pp.B1444-B1469. ⟨10.1137/18M1185697⟩","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1805.01925","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.01925","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.01925","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.01925","pdf_url":"https://arxiv.org/pdf/1805.01925","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/G3265814401","display_name":null,"funder_award_id":"NRNG06","funder_id":"https://openalex.org/F4320320086","funder_display_name":"Higher Education Funding Council for Wales"},{"id":"https://openalex.org/G6064965963","display_name":null,"funder_award_id":"NRN102","funder_id":"https://openalex.org/F4320320086","funder_display_name":"Higher Education Funding Council for Wales"}],"funders":[{"id":"https://openalex.org/F4320320086","display_name":"Higher Education Funding Council for Wales","ror":"https://ror.org/056y81r79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W55168570","https://openalex.org/W1238092070","https://openalex.org/W1572985915","https://openalex.org/W1640375798","https://openalex.org/W1964740668","https://openalex.org/W1978573632","https://openalex.org/W1985822578","https://openalex.org/W1990403508","https://openalex.org/W1990733986","https://openalex.org/W1997117664","https://openalex.org/W1998428203","https://openalex.org/W2010345849","https://openalex.org/W2011835464","https://openalex.org/W2013869327","https://openalex.org/W2015670802","https://openalex.org/W2015688105","https://openalex.org/W2019341779","https://openalex.org/W2020152794","https://openalex.org/W2020460208","https://openalex.org/W2026251274","https://openalex.org/W2028691187","https://openalex.org/W2032559642","https://openalex.org/W2033376653","https://openalex.org/W2034063880","https://openalex.org/W2037406062","https://openalex.org/W2040896717","https://openalex.org/W2049638846","https://openalex.org/W2064272241","https://openalex.org/W2065971240","https://openalex.org/W2073897969","https://openalex.org/W2093545484","https://openalex.org/W2094134692","https://openalex.org/W2107436920","https://openalex.org/W2108719370","https://openalex.org/W2117559435","https://openalex.org/W2123048683","https://openalex.org/W2130011046","https://openalex.org/W2142596047","https://openalex.org/W2148491477","https://openalex.org/W2212370034","https://openalex.org/W2266052957","https://openalex.org/W2400336179","https://openalex.org/W2517227616","https://openalex.org/W2519328684","https://openalex.org/W2548256635","https://openalex.org/W2553775118","https://openalex.org/W2621297598","https://openalex.org/W2753622709","https://openalex.org/W2782269862","https://openalex.org/W2791835180","https://openalex.org/W3099371843","https://openalex.org/W3121906968","https://openalex.org/W4236938392"],"related_works":["https://openalex.org/W2069530343","https://openalex.org/W2080050826","https://openalex.org/W2963522636","https://openalex.org/W189194907","https://openalex.org/W1902261837","https://openalex.org/W2026812854","https://openalex.org/W173325310","https://openalex.org/W1994314174","https://openalex.org/W2092216078","https://openalex.org/W2059500103","https://openalex.org/W2014497894","https://openalex.org/W3124377782","https://openalex.org/W2979853755","https://openalex.org/W1964372115","https://openalex.org/W2613937744","https://openalex.org/W2588894796","https://openalex.org/W2001883934","https://openalex.org/W2055759238","https://openalex.org/W3137085064","https://openalex.org/W2797682339"],"abstract_inverted_index":{"In":[0,132],"this":[1],"article,":[2],"we":[3,117,134],"develop":[4],"a":[5,28,40,92,97],"cut":[6,56,130],"finite":[7,63],"element":[8,64],"method":[9,124],"for":[10,76],"one-phase":[11,86],"Stefan":[12,87],"problems,":[13],"with":[14,138,161],"applications":[15],"in":[16],"laser":[17],"manufacturing.":[18],"The":[19,44,80],"geometry":[20],"of":[21,61,83,104,114,128,157,167],"the":[22,34,48,51,59,62,70,74,84,102,111,120,129,153,158,165],"workpiece":[23,49],"is":[24,37,89],"represented":[25,38],"implicitly":[26],"via":[27],"level":[29],"set":[30],"function.":[31],"Material":[32],"above":[33],"melting/vaporisation":[35],"temperature":[36],"by":[39],"fictitious":[41,52],"gas":[42,53],"phase.":[43],"moving":[45],"interface":[46],"between":[47],"and":[50,142,147,155],"phase":[54],"may":[55],"arbitrarily":[57],"through":[58],"elements":[60],"mesh,":[65],"which":[66,100],"remains":[67,125],"fixed":[68],"throughout":[69],"simulation,":[71],"thereby":[72],"circumventing":[73],"need":[75],"cumbersome":[77],"re-meshing":[78],"operations.":[79],"primal/dual":[81,108],"formulation":[82,95],"linear":[85],"problem":[88],"recast":[90],"into":[91],"primal":[93],"non-linear":[94],"using":[96],"Nitsche-type":[98],"approach,":[99],"avoids":[101],"difficulty":[103],"constructing":[105],"inf-sup":[106],"stable":[107,126],"pairs.":[109],"Through":[110],"careful":[112],"derivation":[113],"stabilisation":[115],"terms,":[116],"show":[118],"that":[119],"proposed":[121],"Stefan-Signorini-Nitsche":[122],"CutFEM":[123],"independently":[127],"location.":[131],"addition,":[133],"obtain":[135],"optimal":[136],"convergence":[137],"respect":[139],"to":[140,164],"space":[141],"time":[143],"refinement.":[144],"Several":[145],"2D":[146],"3D":[148],"examples":[149],"are":[150],"proposed,":[151],"highlighting":[152],"robustness":[154],"flexibility":[156],"algorithm,":[159],"together":[160],"its":[162],"relevance":[163],"field":[166],"micro-manufacturing.":[168]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}