{"id":"https://openalex.org/W2144221667","doi":"https://doi.org/10.1109/tbme.2008.2008442","title":"Solving the ECG Forward Problem by Means of Standard h- and h-Hierarchical Adaptive Linear Boundary Element Method: Comparison With Two Refinement Schemes","display_name":"Solving the ECG Forward Problem by Means of Standard h- and h-Hierarchical Adaptive Linear Boundary Element Method: Comparison With Two Refinement Schemes","publication_year":2008,"publication_date":"2008-11-06","ids":{"openalex":"https://openalex.org/W2144221667","doi":"https://doi.org/10.1109/tbme.2008.2008442","mag":"2144221667","pmid":"https://pubmed.ncbi.nlm.nih.gov/19272882"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tbme.2008.2008442","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","pubmed"],"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/A5113457621","display_name":"Guofa Shou","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"funder","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guofa Shou","raw_affiliation_strings":["Department of Biomedical Engineering, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073559766","display_name":"Ling Xia","orcid":"https://orcid.org/0000-0002-1937-9693"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"funder","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Xia","raw_affiliation_strings":["Zhejiang University, Hangzhou, Zhejiang, CN"],"affiliations":[{"raw_affiliation_string":"Zhejiang University, Hangzhou, Zhejiang, CN","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002822938","display_name":"Mingfeng Jiang","orcid":"https://orcid.org/0000-0003-3013-4790"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]},{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"funder","lineage":["https://openalex.org/I1328775524"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"funder","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingfeng Jiang","raw_affiliation_strings":["College of Electronics and Informatics, Zhejiang Sci-Tech University, Hangzhou, China","College of Electronics and Informatics, Zhejiang Science and Technology University, Hangzhou, China","Department of Biomedical Engineering, University of Zhejiang, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Electronics and Informatics, Zhejiang Science and Technology University, Hangzhou, China","institution_ids":["https://openalex.org/I168879160"]},{"raw_affiliation_string":"College of Electronics and Informatics, Zhejiang Sci-Tech University, Hangzhou, China","institution_ids":["https://openalex.org/I1328775524"]},{"raw_affiliation_string":"Department of Biomedical Engineering, University of Zhejiang, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036191334","display_name":"Qing Wei","orcid":"https://orcid.org/0000-0003-1637-9468"},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"funder","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"funder","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Qing Wei","raw_affiliation_strings":["School of Information Technology and Electrical Engineering, University of Queensland, Brisbane, Qld., Australia"],"affiliations":[{"raw_affiliation_string":"School of Information Technology and Electrical Engineering, University of Queensland, Brisbane, Qld., Australia","institution_ids":["https://openalex.org/I165143802","https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100610446","display_name":"Feng Liu","orcid":"https://orcid.org/0000-0002-1074-2601"},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"funder","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"funder","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Feng Liu","raw_affiliation_strings":["School of Information Technology and Electrical Engineering, University of Queensland, Brisbane, Qld., Australia"],"affiliations":[{"raw_affiliation_string":"School of Information Technology and Electrical Engineering, University of Queensland, Brisbane, Qld., Australia","institution_ids":["https://openalex.org/I165143802","https://openalex.org/I160993911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039207515","display_name":"\u202aStuart Crozier\u202c","orcid":"https://orcid.org/0000-0003-4036-2930"},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"funder","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"funder","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Stuart Crozier","raw_affiliation_strings":["School of Information Technology and Electrical Engineering, University of Queensland, Brisbane, Qld., Australia"],"affiliations":[{"raw_affiliation_string":"School of Information Technology and Electrical Engineering, University of Queensland, Brisbane, Qld., Australia","institution_ids":["https://openalex.org/I165143802","https://openalex.org/I160993911"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.887,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":11,"citation_normalized_percentile":{"value":0.673444,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":"56","issue":"5","first_page":"1454","last_page":"1464"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9941,"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":0.9941,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9926,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9869,"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":[],"concepts":[{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.5895613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47331986},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45188862},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4493103},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4338058},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4202731},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33270836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16780955},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15273646},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.08732},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":"","qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003627","descriptor_name":"Data Interpretation, Statistical","qualifier_ui":"","qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D004562","descriptor_name":"Electrocardiography","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":"","qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000005","descriptor_name":"Abdomen","qualifier_ui":"","qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000005","descriptor_name":"Abdomen","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":"","qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004562","descriptor_name":"Electrocardiography","qualifier_ui":"","qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":"","qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008953","descriptor_name":"Models, Anatomic","qualifier_ui":"","qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013909","descriptor_name":"Thorax","qualifier_ui":"","qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013909","descriptor_name":"Thorax","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false}],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tbme.2008.2008442","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19272882","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":43,"referenced_works":["https://openalex.org/W1961843982","https://openalex.org/W1965075829","https://openalex.org/W1973881979","https://openalex.org/W1978418097","https://openalex.org/W1984241019","https://openalex.org/W2009477983","https://openalex.org/W2009791675","https://openalex.org/W2010040374","https://openalex.org/W2013665345","https://openalex.org/W2020054654","https://openalex.org/W2021763752","https://openalex.org/W2022567335","https://openalex.org/W2030038937","https://openalex.org/W2044947739","https://openalex.org/W2051487685","https://openalex.org/W2059883150","https://openalex.org/W2060677018","https://openalex.org/W2072933023","https://openalex.org/W2079411593","https://openalex.org/W2080311999","https://openalex.org/W2082371233","https://openalex.org/W2085242928","https://openalex.org/W2093340394","https://openalex.org/W2098037726","https://openalex.org/W2103821365","https://openalex.org/W2104646655","https://openalex.org/W2112046259","https://openalex.org/W2112808853","https://openalex.org/W2117783049","https://openalex.org/W2123368128","https://openalex.org/W2126346100","https://openalex.org/W2126916661","https://openalex.org/W2129020793","https://openalex.org/W2134044591","https://openalex.org/W2145574676","https://openalex.org/W2152628352","https://openalex.org/W2153930523","https://openalex.org/W2160616813","https://openalex.org/W2167750268","https://openalex.org/W2168016887","https://openalex.org/W2169629697","https://openalex.org/W239453135","https://openalex.org/W2471541662"],"related_works":["https://openalex.org/W3016108315","https://openalex.org/W2506264689","https://openalex.org/W2187401768","https://openalex.org/W2181743346","https://openalex.org/W2073681303","https://openalex.org/W2055836843","https://openalex.org/W2053286651","https://openalex.org/W2051487156","https://openalex.org/W2045738515","https://openalex.org/W1979221084"],"abstract_inverted_index":{"The":[0,37,162,182],"boundary":[1,41],"element":[2,42],"method":[3,73],"(BEM)":[4],"is":[5,57,110,149,194],"a":[6,167,177],"commonly":[7],"used":[8,151],"numerical":[9,49],"approach":[10],"to":[11,34,74,141,225],"solve":[12],"biomedical":[13],"electromagnetic":[14,79],"volume":[15],"conductor":[16],"models":[17],"such":[18,76],"as":[19,70],"ECG":[20,91,114,205],"and":[21,51,59,68,80,126,176,193,197],"EEG":[22],"problems,":[23],"in":[24,78,89],"which":[25,99],"only":[26],"the":[27,40,45,48,52,90,96,107,113,135,143,146,153,156,200,204,209,214,219,226],"interfaces":[28],"between":[29],"various":[30],"tissue":[31],"regions":[32],"need":[33],"be":[35],"modeled.":[36],"quality":[38],"of":[39,47,54,106,155,228],"discretization":[43],"affects":[44],"accuracy":[46],"solution,":[50],"construction":[53],"high-quality":[55],"meshes":[56,102],"time-consuming":[58],"always":[60],"problem-dependent.":[61],"Adaptive":[62],"BEM":[63,202],"(aBEM)":[64],"has":[65,84],"been":[66,86],"developed":[67],"validated":[69],"an":[71],"effective":[72,198],"tackle":[75],"problems":[77],"mechanical":[81],"fields,":[82],"but":[83],"not":[85],"extensively":[87],"investigated":[88,111],"problem.":[92,116,206],"In":[93,139],"this":[94],"paper,":[95],"h":[97,136,186,230],"aBEM,":[98],"produces":[100],"refined":[101],"through":[103,152],"adaptive":[104],"adjustment":[105],"elementspsila":[108],"connection,":[109],"for":[112,134,160,203],"forward":[115],"Two":[117],"different":[118],"refinement":[119,211],"schemes:":[120],"adding":[121,127],"one":[122],"new":[123,129],"node":[124],"(SH1)":[125],"three":[128],"nodes":[130],"(SH3),":[131],"are":[132],"applied":[133],"aBEM":[137,148,187,216],"calculation.":[138],"order":[140],"save":[142,218],"computational":[144,220],"time,":[145],"h-hierarchical":[147,157,215],"also":[150],"introduction":[154],"shape":[158],"functions":[159],"SH3.":[161],"algorithms":[163],"were":[164],"evaluated":[165],"with":[166,172,208],"single-layer":[168],"homogeneous":[169],"sphere":[170],"model":[171],"assumed":[173],"dipole":[174],"sources":[175],"geometrically":[178],"realistic":[179],"heart-torso":[180],"model.":[181],"simulations":[183],"showed":[184],"that":[185],"can":[188,217],"produce":[189],"better":[190],"mesh":[191],"results":[192],"more":[195],"accurate":[196],"than":[199],"traditional":[201],"While":[207],"same":[210],"scheme":[212],"SH3,":[213],"costs":[221],"about":[222],"9%":[223],"compared":[224],"implementation":[227],"standard":[229],"aBEM.":[231]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2144221667","counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-04-18T00:41:34.325161","created_date":"2016-06-24"}