{"id":"https://openalex.org/W1860844416","doi":"https://doi.org/10.1007/978-3-642-01970-8_50","title":"A 3D Vector-Additive Iterative Solver for the Anisotropic Inhomogeneous Poisson Equation in the Forward EEG problem","display_name":"A 3D Vector-Additive Iterative Solver for the Anisotropic Inhomogeneous Poisson Equation in the Forward EEG problem","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1860844416","doi":"https://doi.org/10.1007/978-3-642-01970-8_50","mag":"1860844416"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-01970-8_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-01970-8_50","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5003269014","display_name":"\u0412. \u041c. \u0412\u043e\u043b\u043a\u043e\u0432","orcid":"https://orcid.org/0000-0003-0350-4186"},"institutions":[{"id":"https://openalex.org/I291386647","display_name":"Belarusian State University","ror":"https://ror.org/021036w13","country_code":"BY","type":"education","lineage":["https://openalex.org/I291386647"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Vasily Volkov","raw_affiliation_strings":["Department of Mathematics and Mechanics, Belarusian State University, Minsk, Belarus","Department of Mathematics and Mechanics, Belarusian State University, Minsk, Republic of Belarus 220050#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, Belarusian State University, Minsk, Belarus","institution_ids":["https://openalex.org/I291386647"]},{"raw_affiliation_string":"Department of Mathematics and Mechanics, Belarusian State University, Minsk, Republic of Belarus 220050#TAB#","institution_ids":["https://openalex.org/I291386647"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074794123","display_name":"Aleksei Zherdetsky","orcid":null},"institutions":[{"id":"https://openalex.org/I291386647","display_name":"Belarusian State University","ror":"https://ror.org/021036w13","country_code":"BY","type":"education","lineage":["https://openalex.org/I291386647"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Aleksei Zherdetsky","raw_affiliation_strings":["Department of Mathematics and Mechanics, Belarusian State University, Minsk, Belarus","Department of Mathematics and Mechanics, Belarusian State University, Minsk, Republic of Belarus 220050#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, Belarusian State University, Minsk, Belarus","institution_ids":["https://openalex.org/I291386647"]},{"raw_affiliation_string":"Department of Mathematics and Mechanics, Belarusian State University, Minsk, Republic of Belarus 220050#TAB#","institution_ids":["https://openalex.org/I291386647"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034353965","display_name":"Sergei Turovets","orcid":"https://orcid.org/0000-0001-6956-0389"},"institutions":[{"id":"https://openalex.org/I181233156","display_name":"University of Oregon","ror":"https://ror.org/0293rh119","country_code":"US","type":"education","lineage":["https://openalex.org/I181233156"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergei Turovets","raw_affiliation_strings":["NeuroInformatics Center, University of Oregon, Eugene, USA","NeuroInformatics Center, University of Oregon, Eugene, USA OR 97403#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NeuroInformatics Center, University of Oregon, Eugene, USA","institution_ids":["https://openalex.org/I181233156"]},{"raw_affiliation_string":"NeuroInformatics Center, University of Oregon, Eugene, USA OR 97403#TAB#","institution_ids":["https://openalex.org/I181233156"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029524538","display_name":"Allen D. Malony","orcid":"https://orcid.org/0000-0002-9598-7201"},"institutions":[{"id":"https://openalex.org/I181233156","display_name":"University of Oregon","ror":"https://ror.org/0293rh119","country_code":"US","type":"education","lineage":["https://openalex.org/I181233156"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Allen Malony","raw_affiliation_strings":["NeuroInformatics Center, University of Oregon, Eugene, USA","NeuroInformatics Center, University of Oregon, Eugene, USA OR 97403#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NeuroInformatics Center, University of Oregon, Eugene, USA","institution_ids":["https://openalex.org/I181233156"]},{"raw_affiliation_string":"NeuroInformatics Center, University of Oregon, Eugene, USA OR 97403#TAB#","institution_ids":["https://openalex.org/I181233156"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.16834947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"511","last_page":"520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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/T11809","display_name":"Advanced NMR Techniques and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/stencil","display_name":"Stencil","score":0.7507901191711426},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7126463651657104},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6555967926979065},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6523523330688477},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.545981764793396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5430158972740173},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5422327518463135},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4457639753818512},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.44054776430130005},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.41382065415382385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3564794659614563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2917965054512024},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25540298223495483},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.24731826782226562},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.16198477149009705},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1376093626022339}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.7507901191711426},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7126463651657104},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6555967926979065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6523523330688477},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.545981764793396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5430158972740173},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5422327518463135},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4457639753818512},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.44054776430130005},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.41382065415382385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3564794659614563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2917965054512024},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25540298223495483},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.24731826782226562},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.16198477149009705},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1376093626022339},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-01970-8_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-01970-8_50","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W104521033","https://openalex.org/W639628635","https://openalex.org/W1502273647","https://openalex.org/W1555627060","https://openalex.org/W1575701986","https://openalex.org/W1585334203","https://openalex.org/W1974052986","https://openalex.org/W1997471340","https://openalex.org/W2033106066","https://openalex.org/W2085259167","https://openalex.org/W2130863149","https://openalex.org/W2432517183","https://openalex.org/W2506236001","https://openalex.org/W4242117279","https://openalex.org/W4388319809"],"related_works":["https://openalex.org/W3105129168","https://openalex.org/W2804920739","https://openalex.org/W4316371992","https://openalex.org/W2186216222","https://openalex.org/W2392765154","https://openalex.org/W2564509292","https://openalex.org/W2008005532","https://openalex.org/W1971603802","https://openalex.org/W2021938426","https://openalex.org/W2327379900"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}