{"id":"https://openalex.org/W2102007754","doi":"https://doi.org/10.1016/0045-7825(95)00955-8","title":"A space-time finite element method for structural acoustics in infinite domains part 1: Formulation, stability and convergence","display_name":"A space-time finite element method for structural acoustics in infinite domains part 1: Formulation, stability and convergence","publication_year":1996,"publication_date":"1996-06-01","ids":{"openalex":"https://openalex.org/W2102007754","doi":"https://doi.org/10.1016/0045-7825(95)00955-8","mag":"2102007754"},"language":"en","primary_location":{"id":"doi:10.1016/0045-7825(95)00955-8","doi":"https://doi.org/10.1016/0045-7825(95)00955-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0045-7825(95)00955-8","pdf_url":null,"source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/0045-7825(95)00955-8","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103024192","display_name":"Lonny L. Thompson","orcid":"https://orcid.org/0000-0003-1441-7352","observed_orcids":["https://orcid.org/0000-0003-1441-7352"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lonny L. Thompson","raw_affiliation_strings":["Department of Civil Engineering, Stanford University, Stanford, CA 94305-4020, USA","Dept. of Civil Engineering, Stanford University, Stanford, CA 94305-4020, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, Stanford University, Stanford, CA 94305-4020, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Dept. of Civil Engineering, Stanford University, Stanford, CA 94305-4020, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016310809","display_name":"Peter M. Pinsky","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter M. Pinsky","raw_affiliation_strings":["Department of Civil Engineering, Stanford University, Stanford, CA 94305-4020, USA","Dept. of Civil Engineering, Stanford University, Stanford, CA 94305-4020, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, Stanford University, Stanford, CA 94305-4020, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Dept. of Civil Engineering, Stanford University, Stanford, CA 94305-4020, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103024192"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":4830,"currency":"USD","value_usd":4830},"apc_paid":{"value":4830,"currency":"USD","value_usd":4830},"fwci":3.0733,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.91376027,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"132","issue":"3-4","first_page":"195","last_page":"227"},"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":1.0,"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":1.0,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.0,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/space-time-finite-element-method","display_name":"space-time finite element method","score":0.9860000014305115},{"id":"https://openalex.org/keywords/vibroacoustics","display_name":"vibroacoustics","score":0.9869999885559082},{"id":"https://openalex.org/keywords/fluid-structure-interaction","display_name":"fluid-structure interaction","score":0.8159999847412109},{"id":"https://openalex.org/keywords/infinite-domains","display_name":"infinite domains","score":0.8140000104904175},{"id":"https://openalex.org/keywords/time-discontinuous-galerkin-method","display_name":"time-discontinuous Galerkin method","score":0.8519999980926514},{"id":"https://openalex.org/keywords/galerkin-least-squares","display_name":"Galerkin least squares","score":0.8949999809265137},{"id":"https://openalex.org/keywords/absorbing-boundary-conditions","display_name":"absorbing boundary conditions","score":0.9610000252723694},{"id":"https://openalex.org/keywords/unconditional-stability","display_name":"unconditional stability","score":0.9089999794960022},{"id":"https://openalex.org/keywords/energy-estimation","display_name":"energy estimates","score":0.7450000047683716},{"id":"https://openalex.org/keywords/a-priori-error-estimates","display_name":"a priori error estimates","score":0.8870000243186951}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7029320597648621},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6811445951461792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6203233599662781},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5404312610626221},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5159873962402344},{"id":"https://openalex.org/C60015446","wikidata":"https://www.wikidata.org/wiki/Q7624999","display_name":"Structural acoustics","level":3,"score":0.5119501352310181},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49301478266716003},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.46571803092956543},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4611307680606842},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4596504867076874},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4211549162864685},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35012751817703247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15730974078178406},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.14236876368522644},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13601714372634888},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.12860408425331116},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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:10.1016/0045-7825(95)00955-8","doi":"https://doi.org/10.1016/0045-7825(95)00955-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0045-7825(95)00955-8","pdf_url":null,"source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0045-7825(95)00955-8","doi":"https://doi.org/10.1016/0045-7825(95)00955-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0045-7825(95)00955-8","pdf_url":null,"source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1567571778","https://openalex.org/W1964846831","https://openalex.org/W1974728039","https://openalex.org/W1979560958","https://openalex.org/W1997909686","https://openalex.org/W2003004776","https://openalex.org/W2006132632","https://openalex.org/W2012071009","https://openalex.org/W2015274185","https://openalex.org/W2021567871","https://openalex.org/W2023808275","https://openalex.org/W2024169432","https://openalex.org/W2027466757","https://openalex.org/W2035294683","https://openalex.org/W2035705730","https://openalex.org/W2047338836","https://openalex.org/W2055893851","https://openalex.org/W2060170348","https://openalex.org/W2075169689","https://openalex.org/W2077065459","https://openalex.org/W2081177856","https://openalex.org/W2091156165","https://openalex.org/W2091907831","https://openalex.org/W2095546031","https://openalex.org/W2103289024","https://openalex.org/W2103852155","https://openalex.org/W2138971918","https://openalex.org/W2166697429","https://openalex.org/W2166703312","https://openalex.org/W2170031024","https://openalex.org/W2342464883","https://openalex.org/W3134209247"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2120874885","https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W5922282","https://openalex.org/W2162026849","https://openalex.org/W2394687667"],"abstract_inverted_index":{"A":[0],"space-time":[1,117,126,133],"finite":[2,57,145],"element":[3,146],"method":[4,89],"for":[5,38,49,90,104,111,144],"solution":[6,109],"of":[7,16,87,107,131,138,162],"the":[8,14,62,71,84,88,91,105,132,136,163,168],"exterior":[9],"structural":[10,40,164],"acoustics":[11,41,113,165],"problem":[12,94],"involving":[13],"interaction":[15],"vibrating":[17],"elastic":[18],"structures":[19],"submerged":[20],"in":[21,42,114,151,191],"an":[22],"infinite":[23],"acoustic":[24],"fluid":[25,59,72],"is":[26,135],"formulated.":[27],"In":[28],"particular,":[29],"time-discontinuous":[30],"Galerkin":[31,33],"and":[32,47,51,64,178],"Least-Squares":[34],"(GLS)":[35],"variational":[36],"formulations":[37],"coupled":[39,92],"unbounded":[43],"domains":[44],"are":[45,77,101,119,149,172,188],"developed":[46,100],"analyzed":[48],"stability":[50,86],"convergence.":[52],"The":[53,98,174],"formulation":[54,134],"employs":[55],"a":[56,184,192],"computational":[58],"domain":[60],"surrounding":[61],"structure":[63],"incorporates":[65],"time-dependent":[66],"non-reflecting":[67,169],"boundary":[68,170],"conditions":[69,171],"on":[70,159],"truncation":[73],"boundary.":[74],"Energy":[75],"estimates":[76,177,187],"obtained":[78],"which":[79,115,142],"allow":[80,143],"us":[81],"to":[82,121],"prove":[83],"unconditional":[85],"fluid-structure":[93],"with":[95],"absorbing":[96],"boundaries":[97],"methods":[99],"especially":[102],"useful":[103],"application":[106],"adaptive":[108],"strategies":[110],"transient":[112],"unstructured":[116],"meshes":[118],"used":[120],"track":[122],"waves":[123],"propagating":[124],"along":[125],"characteristics.":[127],"An":[128],"important":[129],"feature":[130],"incorporation":[137],"temporal":[139],"jump":[140],"operators":[141,157],"interpolations":[147],"that":[148],"discontinaous":[150],"time.":[152],"For":[153],"additional":[154],"stability,":[155],"least-squares":[156],"based":[158],"local":[160],"residuals":[161],"equations":[166],"including":[167],"incorporated.":[173],"energy":[175],"decay":[176],"high-order":[179],"accuracy":[180],"predicted":[181],"by":[182],"our":[183],"priori":[185],"error":[186],"demonstrated":[189],"numerically":[190],"simple":[193],"canonical":[194],"example.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}