{"id":"https://openalex.org/W1522327077","doi":"https://doi.org/10.1007/978-3-642-04802-9_19","title":"Using Self-adjoint Extensions in Shape Optimization","display_name":"Using Self-adjoint Extensions in Shape Optimization","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1522327077","doi":"https://doi.org/10.1007/978-3-642-04802-9_19","mag":"1522327077"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04802-9_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-04802-9_19","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-04802-9_19.pdf","source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-04802-9_19.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082364655","display_name":"Antoine Laurain","orcid":"https://orcid.org/0000-0002-8733-5190"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Antoine Laurain","raw_affiliation_strings":["Department of Mathematics and Scientific Computing, University of Graz, Graz, Austria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Scientific Computing, University of Graz, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045071126","display_name":"Katarzyna Szulc","orcid":"https://orcid.org/0000-0001-8338-2531"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Katarzyna Szulc","raw_affiliation_strings":["Institut \u00c9lie Cartan, University Henri Poincar\u00e9, Nancy1, France"],"affiliations":[{"raw_affiliation_string":"Institut \u00c9lie Cartan, University Henri Poincar\u00e9, Nancy1, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082364655"],"corresponding_institution_ids":["https://openalex.org/I15766117"],"apc_list":null,"apc_paid":null,"fwci":1.6264,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85490754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"331","last_page":"349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9997000098228455,"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":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.992900013923645,"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/mathematics","display_name":"Mathematics","score":0.7516050338745117},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6830700635910034},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.6039042472839355},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.596541702747345},{"id":"https://openalex.org/keywords/adjoint-equation","display_name":"Adjoint equation","score":0.5446190237998962},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5382565855979919},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.533649742603302},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.5303559899330139},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5164463520050049},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4528360068798065},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.45018139481544495},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.427897185087204},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14824947714805603},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11142632365226746}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7516050338745117},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6830700635910034},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.6039042472839355},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.596541702747345},{"id":"https://openalex.org/C165551260","wikidata":"https://www.wikidata.org/wiki/Q4428962","display_name":"Adjoint equation","level":3,"score":0.5446190237998962},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5382565855979919},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.533649742603302},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.5303559899330139},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5164463520050049},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4528360068798065},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.45018139481544495},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.427897185087204},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14824947714805603},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11142632365226746},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-04802-9_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-04802-9_19","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-04802-9_19.pdf","source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-04802-9_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-04802-9_19","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-04802-9_19.pdf","source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1522327077.pdf","grobid_xml":"https://content.openalex.org/works/W1522327077.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W175246081","https://openalex.org/W625077519","https://openalex.org/W1575923498","https://openalex.org/W1975255402","https://openalex.org/W1979905552","https://openalex.org/W1982739078","https://openalex.org/W1995067704","https://openalex.org/W2015030382","https://openalex.org/W2060654491","https://openalex.org/W2094251381","https://openalex.org/W2272255966","https://openalex.org/W2480154215","https://openalex.org/W2494553436","https://openalex.org/W2896828731","https://openalex.org/W3142828186","https://openalex.org/W4235957410","https://openalex.org/W4301440339"],"related_works":["https://openalex.org/W2092584480","https://openalex.org/W2387203662","https://openalex.org/W2378338549","https://openalex.org/W2360430533","https://openalex.org/W2604664877","https://openalex.org/W2011339542","https://openalex.org/W2352329580","https://openalex.org/W3149739843","https://openalex.org/W2061833674","https://openalex.org/W2375855453"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
