{"id":"https://openalex.org/W2892283810","doi":"https://doi.org/10.1137/18m1213105","title":"A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources","display_name":"A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2892283810","doi":"https://doi.org/10.1137/18m1213105","mag":"2892283810"},"language":"en","primary_location":{"id":"doi:10.1137/18m1213105","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1213105","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1809.03529","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065359501","display_name":"Irene Drelichman","orcid":"https://orcid.org/0000-0002-8488-9358"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Irene Drelichman","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102778909","display_name":"Ricardo G. Dur\u00e1n","orcid":"https://orcid.org/0000-0003-1349-3708"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ricardo G. Dur\u00e1n","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5091367230","display_name":"Ignacio Aymerich Ojea","orcid":"https://orcid.org/0000-0003-0137-1295"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ignacio Ojea","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065359501"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00360613,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"1","first_page":"590","last_page":"606"},"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":0.9987999796867371,"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":0.9987999796867371,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9977999925613403,"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":0.9934999942779541,"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":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.791092574596405},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7335195541381836},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.7230849266052246},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6026226282119751},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5953825116157532},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.583971381187439},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.5738404989242554},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5539026260375977},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5142926573753357},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5016686916351318},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4646309018135071},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4427800178527832},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42844122648239136},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36170268058776855},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13491663336753845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09859561920166016}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.791092574596405},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7335195541381836},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7230849266052246},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6026226282119751},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5953825116157532},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.583971381187439},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.5738404989242554},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5539026260375977},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5142926573753357},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5016686916351318},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4646309018135071},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4427800178527832},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42844122648239136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36170268058776855},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13491663336753845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09859561920166016},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/18m1213105","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1213105","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1809.03529","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.03529","pdf_url":"https://arxiv.org/pdf/1809.03529","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"mag:2892283810","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1809.03529.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:ri.conicet.gov.ar:11336/138102","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/138102","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1809.03529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1809.03529","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1809.03529","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.03529","pdf_url":"https://arxiv.org/pdf/1809.03529","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2892283810.pdf","grobid_xml":"https://content.openalex.org/works/W2892283810.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1816531745","https://openalex.org/W1966300272","https://openalex.org/W1967470443","https://openalex.org/W1984320368","https://openalex.org/W2037039277","https://openalex.org/W2040299291","https://openalex.org/W2065874602","https://openalex.org/W2067267383","https://openalex.org/W2073216552","https://openalex.org/W2073538670","https://openalex.org/W2104581651","https://openalex.org/W2130008003","https://openalex.org/W2136840729","https://openalex.org/W2256001351","https://openalex.org/W2770218242","https://openalex.org/W2900096382","https://openalex.org/W2963839681","https://openalex.org/W3104155247","https://openalex.org/W4246422931"],"related_works":["https://openalex.org/W3004756591","https://openalex.org/W2216532192","https://openalex.org/W2096770045","https://openalex.org/W2084885441","https://openalex.org/W2793657118","https://openalex.org/W1416844252","https://openalex.org/W2067123685","https://openalex.org/W2346325284","https://openalex.org/W1921774889","https://openalex.org/W1975018344","https://openalex.org/W2130740110","https://openalex.org/W2055871426","https://openalex.org/W2002032423","https://openalex.org/W2134369680","https://openalex.org/W2041469537","https://openalex.org/W1590396964","https://openalex.org/W2999802458","https://openalex.org/W3034767308","https://openalex.org/W2950565324","https://openalex.org/W2906369212"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,9,18,30,33,37,41,49,53,59,70,74],"approximation":[3],"of":[4,32,43,76],"Poisson":[5,34],"type":[6],"problems":[7],"where":[8,48],"source":[10,38],"is":[11,20],"given":[12],"by":[13],"a":[14,21,44],"singular":[15],"measure":[16],"and":[17],"domain":[19],"convex":[22],"polygonal":[23],"or":[24],"polyhedral":[25],"domain.":[26],"First,":[27],"we":[28,57],"prove":[29,58],"well-posedness":[31],"problem":[35],"when":[36],"belongs":[39,51],"to":[40,52],"dual":[42],"weighted":[45,62],"Sobolev":[46],"space":[47],"weight":[50],"Muckenhoupt":[54],"class.":[55],"Second,":[56],"stability":[60],"in":[61],"norms":[63],"for":[64],"standard":[65],"finite":[66],"element":[67],"approximations":[68],"under":[69],"quasi-uniformity":[71],"assumption":[72],"on":[73],"family":[75],"meshes.":[77]},"counts_by_year":[],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2022-08-03T00:00:00"}
