{"id":"https://openalex.org/W1986411874","doi":"https://doi.org/10.1137/s0036142999361529","title":"Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem","display_name":"Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1986411874","doi":"https://doi.org/10.1137/s0036142999361529","mag":"1986411874"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142999361529","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142999361529","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5011365911","display_name":"Xiaobing Feng","orcid":"https://orcid.org/0000-0002-9191-9092"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Xiaobing Feng","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011365911"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0723,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.74581764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"38","issue":"4","first_page":"1312","last_page":"1336"},"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":0.9988999962806702,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9980999827384949,"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/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.8302685022354126},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7652963399887085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7363396883010864},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5340152382850647},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5337653160095215},{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.5256165862083435},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5010883808135986},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.46229761838912964},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.4464692771434784},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43207088112831116},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4314725995063782},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4309545159339905},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41515052318573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38190460205078125},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18930640816688538},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1564667820930481},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07299670577049255}],"concepts":[{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8302685022354126},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7652963399887085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7363396883010864},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5340152382850647},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5337653160095215},{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.5256165862083435},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5010883808135986},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.46229761838912964},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.4464692771434784},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43207088112831116},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4314725995063782},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4309545159339905},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41515052318573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38190460205078125},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18930640816688538},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1564667820930481},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07299670577049255},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142999361529","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142999361529","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1569071183","https://openalex.org/W1967236558","https://openalex.org/W2002074992","https://openalex.org/W2011844544","https://openalex.org/W2031027147","https://openalex.org/W2042248875","https://openalex.org/W2047378168","https://openalex.org/W2052988441","https://openalex.org/W2055031800","https://openalex.org/W2059738320","https://openalex.org/W2075042757","https://openalex.org/W2090904904","https://openalex.org/W2102016474","https://openalex.org/W2287891988","https://openalex.org/W2512076211","https://openalex.org/W2518635540"],"related_works":["https://openalex.org/W2356218016","https://openalex.org/W3023298137","https://openalex.org/W2055406580","https://openalex.org/W1519257360","https://openalex.org/W2057235948","https://openalex.org/W2018702098","https://openalex.org/W3150927006","https://openalex.org/W768539834","https://openalex.org/W2009858568","https://openalex.org/W2023937487"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,57,79],"concerned":[3],"with":[4],"the":[5,42,54,60,65,99,102,117],"finite":[6,118],"element":[7,119],"Galerkin":[8],"approximations":[9,31],"for":[10,41,53,114],"a":[11,38,68,71,83],"fluid-solid":[12],"interaction":[13,66],"model":[14],"proposed":[15,111],"in":[16,44],"[X.":[17],"Feng,":[18],"P.":[19],"Lee,":[20],"and":[21,29,34,46,70,77,89,112],"Y.":[22],"Wei,":[23],"Appl.":[24],"Anal.,":[25],"submitted].":[26],"Both":[27],"continuous-time":[28],"discrete-time":[30],"are":[32,48,109],"formulated":[33],"analyzed.":[35],"Optimal":[36],"order":[37],"priori":[39],"estimates":[40,56],"errors":[43],"$L^\\infty(H^1)$":[45],"$L^\\infty(L^2)$":[47],"derived.":[49],"The":[50],"main":[51],"difficulty":[52],"error":[55],"caused":[58],"by":[59,81],"interface":[61,103],"conditions":[62],"which":[63],"describe":[64],"between":[67],"fluid":[69],"solid":[72],"on":[73],"their":[74],"contact":[75],"surface,":[76],"it":[78],"overcome":[80],"using":[82],"boundary":[84],"duality":[85],"argument":[86],"of":[87],"Douglas":[88],"Dupont":[90],"[Numer.":[91],"Math.,":[92],"20":[93],"(1973),":[94],"pp.":[95],"213--237]":[96],"to":[97],"handle":[98],"terms":[100],"involving":[101],"conditions.":[104],"Parallelizable":[105],"domain":[106],"decomposition":[107],"algorithms":[108],"also":[110],"analyzed":[113],"efficiently":[115],"solving":[116],"systems.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}