{"id":"https://openalex.org/W2041410099","doi":"https://doi.org/10.1137/110854771","title":"A Posteriori Error Estimates and Adaptive Mesh Refinement for the Coupling of the Finite Volume Method and the Boundary Element Method","display_name":"A Posteriori Error Estimates and Adaptive Mesh Refinement for the Coupling of the Finite Volume Method and the Boundary Element Method","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2041410099","doi":"https://doi.org/10.1137/110854771","mag":"2041410099"},"language":"en","primary_location":{"id":"doi:10.1137/110854771","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110854771","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/A5004171537","display_name":"Christoph Erath","orcid":"https://orcid.org/0000-0001-7981-3407"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christoph Erath","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004171537"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7276,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83494729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"51","issue":"3","first_page":"1777","last_page":"1804"},"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":0.9994999766349792,"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"}},"topics":[{"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9986000061035156,"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":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7307577133178711},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6601405143737793},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6225180625915527},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6218941807746887},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.607157826423645},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.560460090637207},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5307141542434692},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.5025455951690674},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4738329350948334},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4701386094093323},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.46763280034065247},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4449550211429596},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3869331181049347},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21338793635368347},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.11841648817062378}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7307577133178711},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6601405143737793},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6225180625915527},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6218941807746887},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.607157826423645},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.560460090637207},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5307141542434692},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.5025455951690674},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4738329350948334},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4701386094093323},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.46763280034065247},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4449550211429596},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3869331181049347},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21338793635368347},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.11841648817062378},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/110854771","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110854771","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W46814297","https://openalex.org/W1525525654","https://openalex.org/W1602383637","https://openalex.org/W1899033191","https://openalex.org/W1969109739","https://openalex.org/W1974033468","https://openalex.org/W1991466853","https://openalex.org/W2003277202","https://openalex.org/W2009985306","https://openalex.org/W2013950272","https://openalex.org/W2019517543","https://openalex.org/W2020854958","https://openalex.org/W2034290095","https://openalex.org/W2039924562","https://openalex.org/W2041523977","https://openalex.org/W2041663316","https://openalex.org/W2051043245","https://openalex.org/W2051189027","https://openalex.org/W2065524660","https://openalex.org/W2070623505","https://openalex.org/W2071036364","https://openalex.org/W2079232547","https://openalex.org/W2081954723","https://openalex.org/W2092071033","https://openalex.org/W2109237585","https://openalex.org/W2134169343","https://openalex.org/W2151123296","https://openalex.org/W2158303175","https://openalex.org/W2199169705","https://openalex.org/W4243875835"],"related_works":["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/W2954004777","https://openalex.org/W2362625355","https://openalex.org/W2829221153","https://openalex.org/W3106646452"],"abstract_inverted_index":{"We":[0,55],"consider":[1],"the":[2,5,10,41,72,79,83,92,100,103,113,121,142,158,161],"coupling":[3,165],"of":[4,14,40,43,102,120,145,160],"finite":[6],"volume":[7],"method":[8,13,30],"and":[9,26,68,82],"boundary":[11,51],"element":[12],"Erath":[15],"[SIAM":[16],"J.":[17],"Numer.":[18],"Anal.,":[19],"50":[20],"(2012),":[21],"pp.":[22],"574--594]":[23],"in":[24,46,74,91],"two":[25],"three":[27],"dimensions.":[28],"This":[29,133],"can":[31],"be":[32,138],"used,":[33],"for":[34,62,141],"example,":[35],"to":[36,127,137],"approximate":[37],"a":[38,44,47,58,122],"solution":[39,81],"transport":[42],"concentration":[45],"fluid,":[48],"where":[49],"no":[50],"conditions":[52],"are":[53,125],"available.":[54],"derive":[56],"residual-based":[57],"posteriori":[59,123],"estimates":[60,124],"(also":[61],"an":[63,75,129],"upwind":[64],"version).":[65],"These":[66],"upper":[67,87],"lower":[69,107],"bounds":[70],"measure":[71],"error":[73],"energy":[76],"(semi)norm":[77],"between":[78],"exact":[80],"numerical":[84,143,155],"solution.":[85],"The":[86,106,117],"bound":[88],"is":[89],"robust":[90],"sense":[93],"that":[94],"it":[95],"does":[96],"not":[97],"depend":[98],"on":[99,112],"variation":[101],"model":[104],"data.":[105],"bound,":[108],"however,":[109],"depends":[110],"additionally":[111],"local":[114,118],"P\u00e9clet":[115],"number.":[116],"contributions":[119],"used":[126],"steer":[128],"adaptive":[130,164],"mesh-refining":[131],"algorithm.":[132],"strategy":[134],"turns":[135],"out":[136],"very":[139],"suitable":[140],"treatment":[144],"transmission":[146],"problems,":[147],"which":[148],"have":[149],"singularities":[150],"or":[151],"boundary/internal":[152],"layers.":[153],"Several":[154],"examples":[156],"illustrate":[157],"effectiveness":[159],"new":[162],"conservative":[163],"method.":[166]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}