{"id":"https://openalex.org/W2094908223","doi":"https://doi.org/10.1137/s0036139901389513","title":"A Finite Element Method for an Eikonal Equation Model of Myocardial Excitation Wavefront Propagation","display_name":"A Finite Element Method for an Eikonal Equation Model of Myocardial Excitation Wavefront Propagation","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2094908223","doi":"https://doi.org/10.1137/s0036139901389513","mag":"2094908223"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139901389513","doi":"https://doi.org/10.1137/s0036139901389513","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139901389513","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-100","russia-white-list-2"],"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 Applied Mathematics","raw_type":"journal-article"},"volume":null,"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/A5109150309","display_name":"Andrew J. Pullan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew J. Pullan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006341697","display_name":"Karl A. Tomlinson","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karl A. Tomlinson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064457425","display_name":"Peter John Hunter","orcid":"https://orcid.org/0000-0001-9665-4145","observed_orcids":["https://orcid.org/0000-0001-9665-4145"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter J. Hunter","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9653,"has_fulltext":false,"cited_by_count":86,"citation_normalized_percentile":{"value":0.95416667,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"63","issue":"1","first_page":"324","last_page":"350"},"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":0.7832000255584717,"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":0.7832000255584717,"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/T10217","display_name":"Cardiac electrophysiology and arrhythmias","score":0.16920000314712524,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.008100000210106373,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eikonal-equation","display_name":"eikonal equation","score":0.8970000147819519},{"id":"https://openalex.org/keywords/ventricular-myocardium","display_name":"ventricular myocardium","score":0.9079999923706055},{"id":"https://openalex.org/keywords/petrov-galerkin-finite-element-method","display_name":"Petrov-Galerkin finite element method","score":0.8949999809265137},{"id":"https://openalex.org/keywords/peclet-number","display_name":"Peclet number","score":0.8679999709129333},{"id":"https://openalex.org/keywords/continuation-method","display_name":"numerical continuation","score":0.9789999723434448},{"id":"https://openalex.org/keywords/canine-ventricle","display_name":"canine ventricle","score":0.7300000190734863},{"id":"https://openalex.org/keywords/cardiac-electrophysiology","display_name":"cardiac electrophysiology","score":0.8149999976158142}],"concepts":[{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.6692801713943481},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.663316547870636},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6261163949966431},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5988987684249878},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5737980604171753},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5504242181777954},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.4973125755786896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3136833608150482},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036139901389513","doi":"https://doi.org/10.1137/s0036139901389513","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139901389513","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-100","russia-white-list-2"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:researchspace.auckland.ac.nz:2292/7383","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/2292/7383","pdf_url":null,"source":{"id":"https://openalex.org/S7407055463","display_name":"ResearchSpace (University of Auckland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I154130895","host_organization_name":"University of Auckland","host_organization_lineage":["https://openalex.org/I154130895"],"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":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions","score":0.8100000023841858}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W162758430","https://openalex.org/W1571952007","https://openalex.org/W1577789931","https://openalex.org/W1583880678","https://openalex.org/W1970680757","https://openalex.org/W1973595837","https://openalex.org/W1983107435","https://openalex.org/W1991113069","https://openalex.org/W1994097156","https://openalex.org/W2005466752","https://openalex.org/W2032332144","https://openalex.org/W2073897969","https://openalex.org/W2081820511","https://openalex.org/W2085789634","https://openalex.org/W2088986191","https://openalex.org/W2094305907","https://openalex.org/W2109911863","https://openalex.org/W2140153041","https://openalex.org/W2143610228","https://openalex.org/W2143842017","https://openalex.org/W2163201983","https://openalex.org/W2186590998","https://openalex.org/W2426847960"],"related_works":["https://openalex.org/W4391016819","https://openalex.org/W2608807293","https://openalex.org/W2911626006","https://openalex.org/W2055696851","https://openalex.org/W2019529034","https://openalex.org/W4293683879","https://openalex.org/W2072209417","https://openalex.org/W2010923956","https://openalex.org/W2096438264","https://openalex.org/W2090448379"],"abstract_inverted_index":{"An":[0,43,150],"efficient":[1],"finite":[2,57],"element":[3,58],"method":[4,59,86,178],"is":[5,31,64,118,135,155,172,191],"developed":[6,65,156],"to":[7,33,66,157,179],"model":[8,30,196],"the":[9,18,38,68,82,96,107,113,122,130,133,142,147,164,182,186,198,209],"spreading":[10],"of":[11,21,106,112,121,141,185,197,206],"excitation":[12,35,51,160],"in":[13,37,132,146,170,193],"ventricular":[14,41,201],"myocardium":[15],"by":[16,94,174],"treating":[17],"thin":[19],"region":[20],"rapidly":[22],"depolarizing":[23],"tissue":[24],"as":[25],"a":[26,72,119,137,176],"propagating":[27],"wavefront.":[28],"The":[29,76,110,166],"used":[32],"investigate":[34],"propagation":[36],"full":[39],"canine":[40,200],"myocardium.":[42],"eikonal-curvature":[44],"equation":[45,49,70],"and":[46,115],"an":[47,194],"eikonal-diffusion":[48,69],"for":[50,127,168,208],"time":[52,171],"are":[53,92],"compared.":[54],"A":[55,189],"Petrov--Galerkin":[56],"with":[60,87,99,203],"cubic":[61],"Hermite":[62],"elements":[63],"solve":[67],"on":[71,104,163],"reasonably":[73],"coarse":[74],"mesh.":[75],"oscillatory":[77],"errors":[78],"seen":[79],"when":[80],"using":[81,175],"Galerkin":[83,97,114],"weighted":[84],"residual":[85],"high":[88],"mesh":[89],"P\u00e9clet":[90,123],"numbers":[91],"avoided":[93,173],"supplementing":[95],"weights":[98,117],"C":[100],"0":[101],"functions":[102],"based":[103],"derivatives":[105],"interpolation":[108],"functions.":[109],"ratio":[111],"supplementary":[116],"function":[120],"number":[124],"such":[125],"that,":[126],"one-dimensional":[128],"propagation,":[129],"error":[131,144],"solution":[134],"within":[136],"small":[138],"constant":[139],"factor":[140],"optimal":[143],"achievable":[145],"trial":[148],"space.":[149],"additional":[151],"no-inflow":[152],"boundary":[153],"term":[154,184],"prevent":[158],"spurious":[159],"from":[161],"initiating":[162],"boundary.":[165],"need":[167],"discretization":[169],"continuation":[177],"gradually":[180],"introduce":[181],"nonlinear":[183],"governing":[187],"equation.":[188],"simulation":[190],"performed":[192],"anisotropic":[195],"complete":[199],"myocardium,":[202],"2355":[204],"degrees":[205],"freedom":[207],"dependent":[210],"variable.":[211]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
