{"id":"https://openalex.org/W2596742067","doi":"https://doi.org/10.1137/16m1063034","title":"Invariant Domains Preserving Arbitrary Lagrangian Eulerian Approximation of Hyperbolic Systems with Continuous Finite Elements","display_name":"Invariant Domains Preserving Arbitrary Lagrangian Eulerian Approximation of Hyperbolic Systems with Continuous Finite Elements","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2596742067","doi":"https://doi.org/10.1137/16m1063034","mag":"2596742067"},"language":"en","primary_location":{"id":"doi:10.1137/16m1063034","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1063034","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045250454","display_name":"Jean\u2010Luc Guermond","orcid":"https://orcid.org/0000-0002-6974-6818"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Luc Guermond","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001592507","display_name":"Bojan Popov","orcid":"https://orcid.org/0000-0002-6837-2404"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bojan Popov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029089983","display_name":"Laura Saavedra","orcid":"https://orcid.org/0000-0001-7323-309X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Laura Saavedra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101466223","display_name":"Yong Yang","orcid":"https://orcid.org/0000-0002-0733-0868"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yong Yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7107,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.66687963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"39","issue":"2","first_page":"A385","last_page":"A414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8018158674240112},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6377583742141724},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6101974248886108},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5732256174087524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5238811373710632},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.5231572389602661},{"id":"https://openalex.org/keywords/euler\u2013lagrange-equation","display_name":"Euler\u2013Lagrange equation","score":0.48458802700042725},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4323465824127197},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.40859660506248474}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8018158674240112},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6377583742141724},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6101974248886108},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5732256174087524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5238811373710632},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.5231572389602661},{"id":"https://openalex.org/C2776392105","wikidata":"https://www.wikidata.org/wiki/Q875744","display_name":"Euler\u2013Lagrange equation","level":3,"score":0.48458802700042725},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4323465824127197},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.40859660506248474},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1063034","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1063034","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3043785152","display_name":null,"funder_award_id":"DMS-1217262","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4161801624","display_name":null,"funder_award_id":"W911NF-15-1-0517","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G6708061610","display_name":null,"funder_award_id":"FA99550-12-0358","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1799252154","https://openalex.org/W1966241802","https://openalex.org/W1969109752","https://openalex.org/W1973296692","https://openalex.org/W1973522094","https://openalex.org/W1983165369","https://openalex.org/W2005033565","https://openalex.org/W2006634395","https://openalex.org/W2011669849","https://openalex.org/W2014850086","https://openalex.org/W2015492419","https://openalex.org/W2021275151","https://openalex.org/W2022459726","https://openalex.org/W2027087330","https://openalex.org/W2033525926","https://openalex.org/W2037732123","https://openalex.org/W2037816801","https://openalex.org/W2038735852","https://openalex.org/W2044059915","https://openalex.org/W2048786327","https://openalex.org/W2067673417","https://openalex.org/W2073218916","https://openalex.org/W2079907059","https://openalex.org/W2084306653","https://openalex.org/W2102295719","https://openalex.org/W2103191952","https://openalex.org/W2151699543","https://openalex.org/W2157850179","https://openalex.org/W2170590789","https://openalex.org/W2190836017","https://openalex.org/W2409693504","https://openalex.org/W2962976992","https://openalex.org/W4253408650"],"related_works":["https://openalex.org/W131452667","https://openalex.org/W2074209692","https://openalex.org/W2001110526","https://openalex.org/W4248912222","https://openalex.org/W3103430266","https://openalex.org/W1984361265","https://openalex.org/W2063621945","https://openalex.org/W2264921256","https://openalex.org/W3027560054","https://openalex.org/W2238184525"],"abstract_inverted_index":{"A":[0],"conservative":[1],"invariant":[2],"domain":[3],"preserving":[4],"arbitrary":[5],"Lagrangian":[6],"Eulerian":[7],"method":[8,17,64],"for":[9,72],"solving":[10],"nonlinear":[11],"hyperbolic":[12],"systems":[13],"is":[14,18,28,40,45,65],"introduced.":[15],"The":[16,62],"explicit":[19],"in":[20,31,78],"time,":[21],"works":[22],"with":[23],"continuous":[24],"finite":[25],"elements,":[26],"and":[27,53],"first-order":[29],"accurate":[30],"space.":[32],"One":[33],"original":[34],"element":[35],"of":[36,49,75],"the":[37,42,50,73],"present":[38],"work":[39],"that":[41],"artificial":[43],"viscosity":[44],"unambiguously":[46],"defined":[47],"irrespective":[48],"mesh":[51],"geometry/anisotropy":[52],"does":[54],"not":[55],"depend":[56],"on":[57],"any":[58],"ad":[59],"hoc":[60],"parameter.":[61],"proposed":[63],"meant":[66],"to":[67],"be":[68],"a":[69],"stepping":[70],"stone":[71],"construction":[74],"higher-order":[76],"methods":[77],"space":[79],"by":[80],"using":[81],"appropriate":[82],"limitation":[83],"techniques.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}