{"id":"https://openalex.org/W1455039598","doi":"https://doi.org/10.1007/978-3-642-41515-9_10","title":"The Finite Element Method for Boundary Value Problems with Strong Singularity and Double Singularity","display_name":"The Finite Element Method for Boundary Value Problems with Strong Singularity and Double Singularity","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1455039598","doi":"https://doi.org/10.1007/978-3-642-41515-9_10","mag":"1455039598"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-41515-9_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-41515-9_10","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/A5007775010","display_name":"Viktor A. Rukavishnikov","orcid":"https://orcid.org/0000-0002-3702-1126"},"institutions":[{"id":"https://openalex.org/I4210125907","display_name":"Far Eastern State Transport University","ror":"https://ror.org/02tt49y26","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210125907"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Viktor A. Rukavishnikov","raw_affiliation_strings":["Computing Center, Far-Eastern Branch, Russian Academy of Sciences, Kim-U-Chena st. 65, 680000, Khabarovsk, Russian Federation","Far Eastern State Transport University, ul. Serysheva 47, Khabarovsk, 680021, Russia"],"affiliations":[{"raw_affiliation_string":"Computing Center, Far-Eastern Branch, Russian Academy of Sciences, Kim-U-Chena st. 65, 680000, Khabarovsk, Russian Federation","institution_ids":["https://openalex.org/I4210143490","https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Far Eastern State Transport University, ul. Serysheva 47, Khabarovsk, 680021, Russia","institution_ids":["https://openalex.org/I4210125907"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067558683","display_name":"Elena I. Rukavishnikova","orcid":"https://orcid.org/0000-0001-5421-0562"},"institutions":[{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210125907","display_name":"Far Eastern State Transport University","ror":"https://ror.org/02tt49y26","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210125907"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Elena I. Rukavishnikova","raw_affiliation_strings":["Computing Center, Far-Eastern Branch, Russian Academy of Sciences, Kim-U-Chena st. 65, 680000, Khabarovsk, Russian Federation","Far Eastern State Transport University, ul. Serysheva 47, Khabarovsk, 680021, Russia"],"affiliations":[{"raw_affiliation_string":"Computing Center, Far-Eastern Branch, Russian Academy of Sciences, Kim-U-Chena st. 65, 680000, Khabarovsk, Russian Federation","institution_ids":["https://openalex.org/I4210143490","https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Far Eastern State Transport University, ul. Serysheva 47, Khabarovsk, 680021, Russia","institution_ids":["https://openalex.org/I4210125907"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007775010"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210125907","https://openalex.org/I4210143490"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":13.8509,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.98355593,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"110","last_page":"121"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T10514","display_name":"Numerical methods in engineering","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.8687804937362671},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7201467156410217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.629183828830719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5979284644126892},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5194129943847656},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.48503512144088745},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4678996801376343},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.4588296115398407},{"id":"https://openalex.org/keywords/essential-singularity","display_name":"Essential singularity","score":0.45749151706695557},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.43572869896888733},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1296248435974121},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.059181421995162964}],"concepts":[{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.8687804937362671},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7201467156410217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.629183828830719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5979284644126892},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5194129943847656},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.48503512144088745},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4678996801376343},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.4588296115398407},{"id":"https://openalex.org/C71383303","wikidata":"https://www.wikidata.org/wiki/Q1876526","display_name":"Essential singularity","level":3,"score":0.45749151706695557},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.43572869896888733},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1296248435974121},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.059181421995162964},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-41515-9_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-41515-9_10","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1554959944","https://openalex.org/W1969696785","https://openalex.org/W1976016743","https://openalex.org/W2009587954","https://openalex.org/W2041368172","https://openalex.org/W2061235324","https://openalex.org/W2079962558","https://openalex.org/W2081902853","https://openalex.org/W2092988173","https://openalex.org/W2151558909","https://openalex.org/W2170868409","https://openalex.org/W2464493836"],"related_works":["https://openalex.org/W1636245565","https://openalex.org/W3185647786","https://openalex.org/W2351083540","https://openalex.org/W2774227103","https://openalex.org/W2953854768","https://openalex.org/W2077755576","https://openalex.org/W2387408754","https://openalex.org/W2009495356","https://openalex.org/W3081363737","https://openalex.org/W2382039503"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}