{"id":"https://openalex.org/W2949845504","doi":"https://doi.org/10.1137/18m1189208","title":"Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling","display_name":"Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2949845504","doi":"https://doi.org/10.1137/18m1189208","mag":"2949845504"},"language":"en","primary_location":{"id":"doi:10.1137/18m1189208","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1189208","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11250/2660264","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035678454","display_name":"J\u00f8rgen S. Dokken","orcid":"https://orcid.org/0000-0001-6489-8858"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J\u00f8rgen S. Dokken","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013806448","display_name":"Simon W. Funke","orcid":"https://orcid.org/0000-0003-4709-8415"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simon W. Funke","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023217909","display_name":"August Johansson","orcid":"https://orcid.org/0000-0001-6950-6016"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"August Johansson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101955827","display_name":"Stephan Schmidt","orcid":"https://orcid.org/0000-0002-4888-0794"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stephan Schmidt","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5035678454"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7458,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.83243701,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"41","issue":"3","first_page":"A1923","last_page":"A1948"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9975000023841858,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8595184087753296},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7457670569419861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.63933265209198},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.6285886764526367},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5254427790641785},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5195605754852295},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.491254985332489},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.46344590187072754},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46064144372940063},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.42405396699905396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3922586441040039},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3385348320007324},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25137966871261597}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8595184087753296},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7457670569419861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.63933265209198},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.6285886764526367},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5254427790641785},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5195605754852295},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.491254985332489},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.46344590187072754},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46064144372940063},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.42405396699905396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3922586441040039},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3385348320007324},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25137966871261597},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m1189208","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1189208","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:sintef.brage.unit.no:11250/2660264","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/2660264","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"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":"1923-1948","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:sintef.brage.unit.no:11250/2660264","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/2660264","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"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":"1923-1948","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W31528315","https://openalex.org/W901936488","https://openalex.org/W1112434539","https://openalex.org/W1516415680","https://openalex.org/W1572985915","https://openalex.org/W1600371943","https://openalex.org/W1969811075","https://openalex.org/W1980572192","https://openalex.org/W2004516350","https://openalex.org/W2026370306","https://openalex.org/W2032980045","https://openalex.org/W2038739308","https://openalex.org/W2051752778","https://openalex.org/W2052919414","https://openalex.org/W2070299075","https://openalex.org/W2090997006","https://openalex.org/W2098720228","https://openalex.org/W2110114082","https://openalex.org/W2112311198","https://openalex.org/W2118312865","https://openalex.org/W2123871098","https://openalex.org/W2128095813","https://openalex.org/W2130350269","https://openalex.org/W2143163345","https://openalex.org/W2144101903","https://openalex.org/W2145259967","https://openalex.org/W2146926056","https://openalex.org/W2173397740","https://openalex.org/W2212370034","https://openalex.org/W2222576750","https://openalex.org/W2332287500","https://openalex.org/W2548763521","https://openalex.org/W2552241281","https://openalex.org/W2566453435","https://openalex.org/W2586197554","https://openalex.org/W2734438183","https://openalex.org/W2962907074","https://openalex.org/W2963803390","https://openalex.org/W2964191535"],"related_works":["https://openalex.org/W2369809820","https://openalex.org/W2147278394","https://openalex.org/W2184057547","https://openalex.org/W2601611040","https://openalex.org/W2022741885","https://openalex.org/W2796321288","https://openalex.org/W2066505156","https://openalex.org/W2112789575","https://openalex.org/W2048163432","https://openalex.org/W2108973349"],"abstract_inverted_index":{"An":[0],"important":[1],"step":[2],"in":[3,47,195,207,216],"shape":[4,164],"optimization":[5,18],"with":[6],"partial":[7],"differential":[8],"equation":[9],"constraints":[10],"is":[11,38,52,70,103,120],"to":[12,23,97,112,198],"adapt":[13],"the":[14,32,49,74,106,118,127,131,139,150,163,169,182,188,200,204,211],"geometry":[15,75,89],"during":[16],"each":[17],"iteration.":[19],"Common":[20],"strategies":[21],"are":[22,110],"employ":[24],"mesh":[25,66,108,152],"deformation":[26,67,94,101],"or":[27,31,37,68],"remeshing,":[28],"where":[29],"one":[30],"other":[33],"typically":[34],"lacks":[35],"robustness":[36],"computationally":[39,115],"expensive.":[40],"This":[41,100,144],"paper":[42],"proposes":[43],"a":[44,80,93,124,196],"different":[45],"approach,":[46],"which":[48],"computational":[50],"domain":[51],"represented":[53],"by":[54,79,154],"multiple,":[55],"independent":[56],"nonmatching":[57,98,107,151],"meshes.":[58,99,128],"The":[59],"individual":[60],"meshes":[61],"can":[62,76],"move":[63,113],"independently,":[64],"hence":[65],"remeshing":[69],"entirely":[71],"avoided":[72],"if":[73],"be":[77],"parameterized":[78],"combination":[81],"of":[82,126,178,184,191,202,213],"rigid":[83],"motions":[84],"and":[85,114,133,157,174,210],"scaling.":[86],"For":[87],"general":[88],"changes,":[90],"we":[91,137,166],"present":[92],"scheme":[95,102,119],"tailored":[96],"robust":[104],"because":[105,117],"interfaces":[109,153],"free":[111],"cheap":[116],"applied":[121],"only":[122],"on":[123,187],"subset":[125],"To":[129,161],"solve":[130],"state":[132],"corresponding":[134],"adjoint":[135],"equations":[136],"use":[138],"multimesh":[140],"finite":[141],"element":[142],"method.":[143],"method":[145],"weakly":[146],"enforces":[147],"continuity":[148],"over":[149],"using":[155],"Nitsche":[156],"additional":[158],"stability":[159],"terms.":[160],"obtain":[162],"derivatives":[165],"analyze":[167],"both":[168],"strong":[170],"formulation":[171,176],"(Hadamard":[172],"formulation)":[173],"weak":[175],"(method":[177],"mappings).":[179],"We":[180],"demonstrate":[181],"capabilities":[183],"our":[185],"approach":[186],"optimal":[189],"placement":[190],"heat":[192],"emitting":[193],"wires":[194],"cable":[197],"minimize":[199],"chance":[201],"overheating,":[203],"drag":[205],"minimization":[206],"Stokes":[208,217],"flow,":[209],"orientation":[212],"nine":[214],"objects":[215],"flow.":[218]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
