{"id":"https://openalex.org/W4230962535","doi":"https://doi.org/10.1515/156939503766614117","title":"Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains","display_name":"Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W4230962535","doi":"https://doi.org/10.1515/156939503766614117"},"language":"en","primary_location":{"id":"doi:10.1515/156939503766614117","is_oa":false,"landing_page_url":"https://doi.org/10.1515/156939503766614117","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","raw_type":"journal-article"},"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":null,"display_name":"C. Bacuta","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. Bacuta","raw_affiliation_strings":["Dept. of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111580212","display_name":"James H. Bramble","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. H. Bramble","raw_affiliation_strings":["Dept. of Mathematics,Texas A & M University, College Station, TX 77843, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics,Texas A & M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014166483","display_name":"Jinchao Xu","orcid":"https://orcid.org/0000-0002-1530-6913"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Xu","raw_affiliation_strings":["Dept. of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":0.7332,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.74783404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9990000128746033,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8673251867294312},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6554086208343506},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5774988532066345},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5616691708564758},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5522392988204956},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.524075448513031},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5080225467681885},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.5021612644195557},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.5009870529174805},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4993126392364502},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.450590044260025},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.44835928082466125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3708708882331848},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.30947554111480713},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.07936277985572815}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8673251867294312},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6554086208343506},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5774988532066345},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5616691708564758},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5522392988204956},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.524075448513031},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5080225467681885},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.5021612644195557},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.5009870529174805},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4993126392364502},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.450590044260025},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.44835928082466125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3708708882331848},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.30947554111480713},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.07936277985572815},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/156939503766614117","is_oa":false,"landing_page_url":"https://doi.org/10.1515/156939503766614117","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W136882936","https://openalex.org/W1963724113","https://openalex.org/W2017085690","https://openalex.org/W2024753911","https://openalex.org/W2055962135","https://openalex.org/W2077070913","https://openalex.org/W2080408590","https://openalex.org/W2297202975","https://openalex.org/W2348508522","https://openalex.org/W2584290844","https://openalex.org/W4210300254","https://openalex.org/W4238473319","https://openalex.org/W4250220742","https://openalex.org/W4253840677","https://openalex.org/W4292166829","https://openalex.org/W4298356938"],"related_works":["https://openalex.org/W2551845725","https://openalex.org/W3093584180","https://openalex.org/W2045588195","https://openalex.org/W2068811348","https://openalex.org/W2122776646","https://openalex.org/W2389316689","https://openalex.org/W2718700678","https://openalex.org/W4300200796","https://openalex.org/W2184854647","https://openalex.org/W11313543"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,28,32,36,39,43,56,66,80],"model":[3],"Dirichlet":[4],"problem":[5,33,69],"for":[6,55,65],"Poisson's":[7],"equation":[8],"on":[9,35],"a":[10,20,60,96],"plane":[11],"polygonal":[12],"convex":[13],"domain":[14],"\u03a9":[15],"with":[16],"data":[17],"\u0192":[18],"in":[19],"space":[21],"smoother":[22],"than":[23],"L2.":[24],"The":[25,90],"regularity":[26],"and":[27,47,86],"critical":[29,57],"case":[30],"of":[31,38,42,83,99],"depend":[34],"measure":[37],"maximum":[40],"angle":[41],"domain.":[44],"Interpolation":[45],"theory":[46,49,85],"multilevel":[48],"are":[50,70,76],"used":[51],"to":[52,95],"obtain":[53],"estimates":[54,64,75],"case.":[58],"As":[59],"consequence,":[61],"sharp":[62],"error":[63],"corresponding":[67],"discrete":[68],"proved.":[71],"Some":[72],"classical":[73],"shift":[74],"also":[77],"proved":[78],"using":[79],"powerful":[81],"tools":[82],"interpolation":[84],"mutilevel":[87],"approximation":[88],"theory.":[89],"results":[91],"can":[92],"be":[93],"extended":[94],"large":[97],"class":[98],"elliptic":[100],"boundary":[101],"value":[102],"problems.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}
