{"id":"https://openalex.org/W2898641070","doi":"https://doi.org/10.1186/s40323-018-0121-8","title":"A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation","display_name":"A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2898641070","doi":"https://doi.org/10.1186/s40323-018-0121-8","mag":"2898641070"},"language":"en","primary_location":{"id":"doi:10.1186/s40323-018-0121-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-018-0121-8","pdf_url":"https://amses-journal.springeropen.com/track/pdf/10.1186/s40323-018-0121-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"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":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://amses-journal.springeropen.com/track/pdf/10.1186/s40323-018-0121-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027864538","display_name":"Federica Caforio","orcid":"https://orcid.org/0000-0002-2637-0195"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Federica Caforio","raw_affiliation_strings":["Inria, Universit Paris-Saclay, Palaiseau, France","LMS, Ecole Polytechnique, Universit\u00e9 Paris-Saclay, CNRS, Palaiseau, France","Inria, Universit\u00e9 Paris-Saclay, Palaiseau, France"],"raw_orcid":"https://orcid.org/0000-0002-2637-0195","affiliations":[{"raw_affiliation_string":"Inria, Universit Paris-Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I277688954"]},{"raw_affiliation_string":"LMS, Ecole Polytechnique, Universit\u00e9 Paris-Saclay, CNRS, Palaiseau, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I142476485","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Inria, Universit\u00e9 Paris-Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I277688954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024468013","display_name":"S\u00e9bastien Imperiale","orcid":"https://orcid.org/0000-0001-5698-9653"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Imperiale","raw_affiliation_strings":["Inria, Universit Paris-Saclay, Palaiseau, France","Inria, Universit\u00e9 Paris-Saclay, Palaiseau, France","LMS, Ecole Polytechnique, Universit\u00e9 Paris-Saclay, CNRS, Palaiseau, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria, Universit Paris-Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I277688954"]},{"raw_affiliation_string":"Inria, Universit\u00e9 Paris-Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I277688954"]},{"raw_affiliation_string":"LMS, Ecole Polytechnique, Universit\u00e9 Paris-Saclay, CNRS, Palaiseau, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027864538"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I277688954","https://openalex.org/I4210126360"],"apc_list":{"value":990,"currency":"GBP","value_usd":1214},"apc_paid":{"value":990,"currency":"GBP","value_usd":1214},"fwci":0.4163,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.61444375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"5","issue":"1","first_page":null,"last_page":null},"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":0.9998000264167786,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/discretization","display_name":"Discretization","score":0.8358943462371826},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6036050915718079},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6006617546081543},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5284823179244995},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5083014369010925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46344614028930664},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.43591442704200745},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4181903004646301},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3765246272087097},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.334736168384552},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.32690632343292236},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.22435951232910156},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1592956781387329}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8358943462371826},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6036050915718079},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6006617546081543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5284823179244995},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5083014369010925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46344614028930664},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.43591442704200745},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4181903004646301},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3765246272087097},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.334736168384552},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.32690632343292236},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.22435951232910156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1592956781387329},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1186/s40323-018-0121-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-018-0121-8","pdf_url":"https://amses-journal.springeropen.com/track/pdf/10.1186/s40323-018-0121-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"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":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01907746v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-01907746","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":"https://hal.inria.fr/hal-01907746","raw_type":"\\ninfo:eu-repo/semantics/preprint\\n"},{"id":"pmh:oai:HAL:hal-04514188v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04514188","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2213-7467","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-04532799v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04532799","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://link.springer.com/article/10.1186/s40323-018-0121-8/fulltext.html","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:038035d9458d4ff7a135a0e028a99fef","is_oa":true,"landing_page_url":"https://doaj.org/article/038035d9458d4ff7a135a0e028a99fef","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences, Vol 5, Iss 1, Pp 1-27 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s40323-018-0121-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-018-0121-8","pdf_url":"https://amses-journal.springeropen.com/track/pdf/10.1186/s40323-018-0121-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"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":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2898641070.pdf","grobid_xml":"https://content.openalex.org/works/W2898641070.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W592911714","https://openalex.org/W641247531","https://openalex.org/W844253406","https://openalex.org/W1573186872","https://openalex.org/W1591608973","https://openalex.org/W1628714285","https://openalex.org/W1635286259","https://openalex.org/W1778185943","https://openalex.org/W1852082788","https://openalex.org/W1967011851","https://openalex.org/W1968809248","https://openalex.org/W1969633019","https://openalex.org/W1977424127","https://openalex.org/W1986608219","https://openalex.org/W2002425660","https://openalex.org/W2013485643","https://openalex.org/W2017754264","https://openalex.org/W2023754092","https://openalex.org/W2024321552","https://openalex.org/W2027160064","https://openalex.org/W2027812608","https://openalex.org/W2028202297","https://openalex.org/W2031753395","https://openalex.org/W2040953177","https://openalex.org/W2047110010","https://openalex.org/W2048177328","https://openalex.org/W2051708601","https://openalex.org/W2051862019","https://openalex.org/W2058175240","https://openalex.org/W2063644223","https://openalex.org/W2073256259","https://openalex.org/W2073897969","https://openalex.org/W2076077791","https://openalex.org/W2076582418","https://openalex.org/W2081731767","https://openalex.org/W2085042525","https://openalex.org/W2101673362","https://openalex.org/W2104951519","https://openalex.org/W2110280396","https://openalex.org/W2117591526","https://openalex.org/W2118922968","https://openalex.org/W2130433253","https://openalex.org/W2145781189","https://openalex.org/W2150815979","https://openalex.org/W2153797429","https://openalex.org/W2159094357","https://openalex.org/W2159571169","https://openalex.org/W2310513352","https://openalex.org/W2337607221","https://openalex.org/W2501013032","https://openalex.org/W2515034908","https://openalex.org/W2563212924","https://openalex.org/W2566906166","https://openalex.org/W2737558995","https://openalex.org/W4292079189","https://openalex.org/W6991224248"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W86477321","https://openalex.org/W1669816071","https://openalex.org/W2131115966","https://openalex.org/W2070976931","https://openalex.org/W2039262714","https://openalex.org/W2743552406","https://openalex.org/W2093607043"],"abstract_inverted_index":{"The":[0,42],"principal":[1],"aim":[2],"of":[3,16],"this":[4],"work":[5],"is":[6,71],"to":[7,64],"provide":[8],"an":[9],"adapted":[10],"numerical":[11],"scheme":[12],"for":[13,33,66],"the":[14,49,67],"approximation":[15],"elastic":[17],"wave":[18,51],"propagation":[19],"in":[20],"incompressible":[21],"solids.":[22],"We":[23],"rely":[24],"on":[25,48],"high-order":[26],"conforming":[27],"finite":[28],"element":[29],"with":[30],"mass":[31],"lumping":[32],"space":[34],"discretisation":[35],"and":[36,53],"implicit/explicit,":[37],"second-order,":[38],"energy-preserving":[39],"time":[40,43,56],"discretisation.":[41],"step":[44,57],"restriction":[45],"only":[46],"depends":[47],"shear":[50],"velocity":[52],"at":[54],"each":[55],"a":[58],"Poisson":[59],"problem":[60],"must":[61],"be":[62],"solved":[63],"account":[65],"incompressibility":[68],"constraint":[69],"that":[70],"imposed":[72],"by":[73],"penalisation":[74],"techniques.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
