{"id":"https://openalex.org/W1968002370","doi":"https://doi.org/10.1137/090758507","title":"The Equivalence of Standard and Mixed Finite Element Methods in Applications to Elasto-Acoustic Interaction","display_name":"The Equivalence of Standard and Mixed Finite Element Methods in Applications to Elasto-Acoustic Interaction","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1968002370","doi":"https://doi.org/10.1137/090758507","mag":"1968002370"},"language":"en","primary_location":{"id":"doi:10.1137/090758507","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090758507","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/A5056499528","display_name":"Bernd Flemisch","orcid":"https://orcid.org/0000-0001-8188-620X"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Flemisch","raw_affiliation_strings":["flemisch@iws.uni-stuttgart.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"flemisch@iws.uni-stuttgart.de#TAB#","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013341461","display_name":"Manfred Kaltenbacher","orcid":"https://orcid.org/0000-0001-5511-8610"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Manfred Kaltenbacher","raw_affiliation_strings":["Manfred.Kaltenbacher@uni-klu.ac.at and Simon.Triebenbacher@uni-klu.ac.at#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manfred.Kaltenbacher@uni-klu.ac.at and Simon.Triebenbacher@uni-klu.ac.at#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068997034","display_name":"Simon Triebenbacher","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simon Triebenbacher","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5018841476","display_name":"Barbara Wohlmuth","orcid":"https://orcid.org/0000-0001-6908-6015"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Barbara I. Wohlmuth","raw_affiliation_strings":["wohlmuth@ma.tum.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"wohlmuth@ma.tum.de#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1798,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78182405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"32","issue":"4","first_page":"1980","last_page":"2006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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":0.9995999932289124,"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/T10822","display_name":"Acoustic Wave Phenomena Research","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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/finite-element-method","display_name":"Finite element method","score":0.6925510168075562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6608254909515381},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5777945518493652},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5692307353019714},{"id":"https://openalex.org/keywords/fluid\u2013structure-interaction","display_name":"Fluid\u2013structure interaction","score":0.4737309217453003},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44965317845344543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37244972586631775},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19916144013404846},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.085884690284729}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6925510168075562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6608254909515381},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5777945518493652},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5692307353019714},{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.4737309217453003},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44965317845344543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37244972586631775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19916144013404846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.085884690284729},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/090758507","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090758507","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:mediatum.ub.tum.de:node/1685008","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1685008","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1724118","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1724118","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1490092417","https://openalex.org/W1545082185","https://openalex.org/W1547166419","https://openalex.org/W1852082788","https://openalex.org/W1969019192","https://openalex.org/W1976807952","https://openalex.org/W1994941917","https://openalex.org/W2003105834","https://openalex.org/W2011828708","https://openalex.org/W2020970209","https://openalex.org/W2036611483","https://openalex.org/W2037519812","https://openalex.org/W2050222014","https://openalex.org/W2094880356","https://openalex.org/W2146182180","https://openalex.org/W2550093246"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2087496541","https://openalex.org/W2376992165","https://openalex.org/W2784995402","https://openalex.org/W2056259617","https://openalex.org/W3016132316","https://openalex.org/W3174219354","https://openalex.org/W1702381702","https://openalex.org/W2758995830"],"abstract_inverted_index":{"Two":[0],"commonly":[1],"used":[2],"problem":[3],"formulations":[4],"for":[5,75],"the":[6,21,27,31,45,48,53,56,68,80,84,91,93,103,111,114,118,126,130,135,143,148],"description":[7],"of":[8,70,97,105,125,147],"acoustic":[9],"wave":[10],"propagation":[11],"are":[12],"investigated;":[13],"one":[14,23],"is":[15,24,41,65,96],"based":[16,25],"on":[17,26,43],"fluid":[18,115],"displacement,":[19],"and":[20,47,113,145],"other":[22],"velocity":[28],"potential":[29,85,94],"as":[30],"primary":[32],"variable.":[33],"Their":[34],"equivalence":[35,54],"under":[36],"general":[37],"Neumann":[38],"boundary":[39],"conditions":[40],"shown":[42],"both":[44,110],"continuous":[46],"discrete":[49,57],"level.":[50],"To":[51],"obtain":[52],"in":[55,79,109],"setting,":[58],"a":[59],"nonstandard":[60],"mixed":[61],"finite":[62],"element":[63],"formulation":[64,82,86,95],"introduced.":[66],"Thus,":[67],"transfer":[69],"an":[71],"already":[72],"available":[73],"analysis":[74],"coupled":[76],"elasto-acoustic":[77],"problems":[78],"displacement":[81],"to":[83],"can":[87],"be":[88],"achieved.":[89],"For":[90],"applications,":[92],"special":[98],"interest":[99],"because":[100],"it":[101],"allows":[102],"use":[104],"standard":[106],"Lagrangian":[107],"elements":[108],"stucture":[112],"subdomain.":[116],"Moreover,":[117],"approach":[119],"does":[120],"not":[121],"require":[122],"any":[123],"conformity":[124],"subdomain":[127],"meshes":[128],"at":[129],"interface,":[131],"which":[132],"considerably":[133],"simplifies":[134],"physics-adapted":[136],"mesh":[137],"generation.":[138],"Several":[139],"engineering":[140],"examples":[141],"demonstrate":[142],"applicability":[144],"efficiency":[146],"resulting":[149],"numerical":[150],"scheme.":[151]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-09-04T10:56:28.161419","created_date":"2025-10-10T00:00:00"}