{"id":"https://openalex.org/W2593712106","doi":"https://doi.org/10.1137/130928674","title":"Point Electrode Problems in Piecewise Smooth Plane Domains","display_name":"Point Electrode Problems in Piecewise Smooth Plane Domains","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2593712106","doi":"https://doi.org/10.1137/130928674","mag":"2593712106"},"language":"en","primary_location":{"id":"doi:10.1137/130928674","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130928674","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1212.5424","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020347742","display_name":"Otto Seiskari","orcid":"https://orcid.org/0000-0001-6207-5671"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Otto Seiskari","raw_affiliation_strings":["Aalto University, Department of Mathematics and Systems Analysis, FI-00076 Aalto, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aalto University, Department of Mathematics and Systems Analysis, FI-00076 Aalto, Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020347742"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":1.2259,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78112775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"46","issue":"2","first_page":"1204","last_page":"1227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9993000030517578,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/piecewise","display_name":"Piecewise","score":0.8721857666969299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7909055948257446},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6312271952629089},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.556532084941864},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5316370725631714},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5176535248756409},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.44163796305656433},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4356081783771515},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4210554361343384},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.4117949306964874},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.39287877082824707},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27477574348449707},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09396782517433167}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.8721857666969299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7909055948257446},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6312271952629089},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.556532084941864},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5316370725631714},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5176535248756409},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.44163796305656433},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4356081783771515},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4210554361343384},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.4117949306964874},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.39287877082824707},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27477574348449707},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09396782517433167},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/130928674","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130928674","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1212.5424","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.5424","pdf_url":"https://arxiv.org/pdf/1212.5424","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/34614","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/6ca3c4f2-7e38-4fd0-a49e-c0c51378d781","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1212.5424","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.5424","pdf_url":"https://arxiv.org/pdf/1212.5424","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W29277529","https://openalex.org/W44035921","https://openalex.org/W1511415781","https://openalex.org/W1523113578","https://openalex.org/W1551397227","https://openalex.org/W1586623601","https://openalex.org/W1597209545","https://openalex.org/W1606075285","https://openalex.org/W1965536284","https://openalex.org/W2005681075","https://openalex.org/W2005710749","https://openalex.org/W2009020532","https://openalex.org/W2011214247","https://openalex.org/W2020852992","https://openalex.org/W2021662804","https://openalex.org/W2025750507","https://openalex.org/W2026295398","https://openalex.org/W2028156707","https://openalex.org/W2029058555","https://openalex.org/W2030312819","https://openalex.org/W2041144389","https://openalex.org/W2046465662","https://openalex.org/W2059195581","https://openalex.org/W2064685239","https://openalex.org/W2082949320","https://openalex.org/W2083126911","https://openalex.org/W2086924628","https://openalex.org/W2090687449","https://openalex.org/W2091156011","https://openalex.org/W2095513002","https://openalex.org/W2115389016","https://openalex.org/W2154530595","https://openalex.org/W2162747898","https://openalex.org/W2795744704","https://openalex.org/W3021722416","https://openalex.org/W3042562017","https://openalex.org/W3142743659","https://openalex.org/W3143263616","https://openalex.org/W3151166464","https://openalex.org/W4242569718","https://openalex.org/W4292027041","https://openalex.org/W4302819252"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2347422947","https://openalex.org/W2061292372","https://openalex.org/W2353392568","https://openalex.org/W2377341410","https://openalex.org/W1454600515","https://openalex.org/W3178812599","https://openalex.org/W4287083812","https://openalex.org/W2895293991","https://openalex.org/W2094137097"],"abstract_inverted_index":{"A":[0,69],"conductivity":[1,45],"equation":[2],"is":[3,48,82],"studied":[4],"in":[5],"piecewise":[6,31],"smooth":[7,32],"plane":[8],"domains":[9],"and":[10],"with":[11],"measure-valued":[12],"current":[13],"patterns":[14],"(Neumann":[15],"boundary":[16],"values).":[17],"This":[18],"allows":[19],"one":[20],"to":[21,30,56],"extend":[22],"the":[23,42,61,65,74],"recently":[24],"introduced":[25],"concept":[26],"of":[27,64,76],"bisweep":[28,52,80],"data":[29,39,53,81],"domains,":[33],"which":[34],"yields":[35],"a":[36,57],"new":[37],"partial":[38],"result":[40],"for":[41,72],"Calder\u00f3n":[43],"inverse":[44],"problem.":[46],"It":[47],"also":[49,83],"shown":[50],"that":[51],"are":[54],"(up":[55],"constant":[58],"scaling":[59],"factor)":[60],"Schwartz":[62],"kernel":[63],"relative":[66],"Neumann-to-Dirichlet":[67],"map.":[68],"numerical":[70],"method":[71],"reconstructing":[73],"supports":[75],"inclusions":[77],"from":[78],"discrete":[79],"presented.":[84]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
