{"id":"https://openalex.org/W2963264812","doi":"https://doi.org/10.1137/15m1048392","title":"A Discontinuous Galerkin Method to Solve the EEG Forward Problem Using the Subtraction Approach","display_name":"A Discontinuous Galerkin Method to Solve the EEG Forward Problem Using the Subtraction Approach","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2963264812","doi":"https://doi.org/10.1137/15m1048392","mag":"2963264812"},"language":"en","primary_location":{"id":"doi:10.1137/15m1048392","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1048392","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/3503421","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083989030","display_name":"Christian Engwer","orcid":"https://orcid.org/0000-0002-6041-8228"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christian Engwer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018390364","display_name":"Johannes Vorwerk","orcid":"https://orcid.org/0000-0003-3597-4203"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Johannes Vorwerk","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015139038","display_name":"Jakob Ludewig","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jakob Ludewig","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5053572681","display_name":"Carsten H. Wolters","orcid":"https://orcid.org/0000-0001-6233-424X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carsten H. Wolters","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.1161,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.98153245,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"39","issue":"1","first_page":"B138","last_page":"B164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7174242734909058},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6336323022842407},{"id":"https://openalex.org/keywords/electroencephalography","display_name":"Electroencephalography","score":0.5223159193992615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48776084184646606},{"id":"https://openalex.org/keywords/subtraction","display_name":"Subtraction","score":0.4393634796142578},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4381627142429352},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4353106617927551},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4210259020328522},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3642350435256958},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3471308946609497},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.19650152325630188},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1505616307258606},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.1095513105392456}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7174242734909058},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6336323022842407},{"id":"https://openalex.org/C522805319","wikidata":"https://www.wikidata.org/wiki/Q179965","display_name":"Electroencephalography","level":2,"score":0.5223159193992615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48776084184646606},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.4393634796142578},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4381627142429352},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4353106617927551},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4210259020328522},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3642350435256958},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3471308946609497},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19650152325630188},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1505616307258606},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.1095513105392456},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1048392","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1048392","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:zenodo.org:3503421","is_oa":true,"landing_page_url":"https://zenodo.org/record/3503421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:3503421","is_oa":true,"landing_page_url":"https://zenodo.org/record/3503421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.6200000047683716,"display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G2609676950","display_name":null,"funder_award_id":"641652","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3184936718","display_name":null,"funder_award_id":"DFG EXC 1003","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G510493730","display_name":null,"funder_award_id":"WO1425/5-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W87071252","https://openalex.org/W833605647","https://openalex.org/W1542438509","https://openalex.org/W1968183962","https://openalex.org/W1973254888","https://openalex.org/W1974066988","https://openalex.org/W1974627378","https://openalex.org/W1977596327","https://openalex.org/W1979315024","https://openalex.org/W2003520203","https://openalex.org/W2008939134","https://openalex.org/W2011662851","https://openalex.org/W2015970201","https://openalex.org/W2016877980","https://openalex.org/W2021514796","https://openalex.org/W2022731896","https://openalex.org/W2025732929","https://openalex.org/W2031088298","https://openalex.org/W2032283266","https://openalex.org/W2034814587","https://openalex.org/W2036686623","https://openalex.org/W2040553986","https://openalex.org/W2056087726","https://openalex.org/W2061324080","https://openalex.org/W2062741660","https://openalex.org/W2070312562","https://openalex.org/W2075289636","https://openalex.org/W2077123128","https://openalex.org/W2077617493","https://openalex.org/W2084333685","https://openalex.org/W2086596462","https://openalex.org/W2087652755","https://openalex.org/W2097540730","https://openalex.org/W2102635728","https://openalex.org/W2107315764","https://openalex.org/W2113431893","https://openalex.org/W2114821041","https://openalex.org/W2117041949","https://openalex.org/W2126906058","https://openalex.org/W2127165400","https://openalex.org/W2127919130","https://openalex.org/W2130350269","https://openalex.org/W2138448378","https://openalex.org/W2150505551","https://openalex.org/W2158459534","https://openalex.org/W2516319349","https://openalex.org/W2963743373","https://openalex.org/W3102181630"],"related_works":["https://openalex.org/W2090049157","https://openalex.org/W1976835164","https://openalex.org/W623557396","https://openalex.org/W2134771946","https://openalex.org/W2012174435","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2523130954","https://openalex.org/W2887215440","https://openalex.org/W1973083629"],"abstract_inverted_index":{"In":[0,72,101],"order":[1],"to":[2,9,34,51,58,89,126],"perform":[3],"electroencephalography":[4],"(EEG)":[5],"source":[6,29],"reconstruction,":[7],"i.e.,":[8],"localize":[10],"the":[11,17,22,31,39,60,67,75,87,108,122,127,135,143,186,189,193,196,206,211,221,225,229],"sources":[12],"underlying":[13],"a":[14,26,111,150,202],"measured":[15],"EEG,":[16],"electric":[18,139],"potential":[19,226],"distribution":[20,65],"at":[21],"electrodes":[23],"generated":[24],"by":[25],"dipolar":[27],"current":[28],"in":[30,142,167,183,192],"brain":[32],"has":[33,81],"be":[35],"simulated,":[36],"which":[37,180],"is":[38,49,191,234],"so-called":[40,176],"EEG":[41,128,212],"forward":[42,129,213],"problem.":[43,130],"To":[44],"solve":[45],"it":[46,48,147],"accurately,":[47],"necessary":[50],"apply":[52],"numerical":[53,84,217],"methods":[54],"that":[55,118,164,219],"are":[56],"able":[57],"take":[59],"individual":[61],"geometry":[62],"and":[63,93,106,215,224],"conductivity":[64,99],"of":[66,110,121,138,152,188,195,205,228],"subject's":[68],"head":[69,168],"into":[70],"account.":[71],"this":[73,102,158],"context,":[74],"finite":[76,123],"element":[77],"(FE)":[78],"method":[79],"(FEM)":[80],"shown":[82],"high":[83],"accuracy":[85],"with":[86],"possibility":[88],"model":[90],"complex":[91],"geometries":[92,169],"conductive":[94],"features,":[95],"e.g.,":[96,175],"white":[97],"matter":[98],"anisotropy.":[100],"article,":[103],"we":[104,156,200],"introduce":[105],"analyze":[107],"application":[109],"discontinuous":[112],"Galerkin":[113],"(DG)":[114],"method,":[115],"an":[116],"FEM":[117,207],"includes":[119],"features":[120,223],"volume":[124],"framework,":[125],"The":[131],"DG-FEM":[132],"approach":[133,159,209],"fulfills":[134],"conservation":[136],"property":[137],"charge":[140],"also":[141],"discrete":[144],"case,":[145],"making":[146],"attractive":[148],"for":[149,210],"variety":[151],"applications.":[153],"Furthermore,":[154],"as":[155],"show,":[157],"can":[160],"alleviate":[161],"modeling":[162],"inaccuracies":[163],"might":[165],"occur":[166,182],"when":[170],"using":[171],"classical":[172],"FE":[173],"methods,":[174],"\u201cskull":[177],"leakage":[178],"effects,\u201d":[179],"may":[181],"areas":[184],"where":[185],"thickness":[187],"skull":[190],"range":[194],"mesh":[197],"resolution.":[198],"Therefore,":[199],"derive":[201],"DG":[203],"formulation":[204],"subtraction":[208],"problem":[214],"present":[216],"results":[218],"highlight":[220],"advantageous":[222],"benefits":[227],"proposed":[230],"approach.":[231],"(An":[232],"erratum":[233],"attached.)":[235]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2025-10-10T00:00:00"}