{"id":"https://openalex.org/W1566628471","doi":"https://doi.org/10.1007/978-3-642-00464-3_43","title":"On a Discrete Maximum Principle for Linear FE Solutions of Elliptic Problems with a Nondiagonal Coefficient Matrix","display_name":"On a Discrete Maximum Principle for Linear FE Solutions of Elliptic Problems with a Nondiagonal Coefficient Matrix","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1566628471","doi":"https://doi.org/10.1007/978-3-642-00464-3_43","mag":"1566628471"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-00464-3_43","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-00464-3_43","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/A5061709350","display_name":"Sergey Korotov","orcid":"https://orcid.org/0000-0003-1995-2450"},"institutions":[{"id":"https://openalex.org/I2800229700","display_name":"Helsinki Institute of Physics","ror":"https://ror.org/01x2x1522","country_code":"FI","type":"facility","lineage":["https://openalex.org/I133731052","https://openalex.org/I2800229700","https://openalex.org/I63548447","https://openalex.org/I94722563","https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Sergey Korotov","raw_affiliation_strings":["Institute of Mathematics, Helsinki University of Technology, P.O.\u00a0Box 1100, FI\u201302015, TKK, Finland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Helsinki University of Technology, P.O.\u00a0Box 1100, FI\u201302015, TKK, Finland","institution_ids":["https://openalex.org/I2800229700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103036562","display_name":"Michal K\u0159\u0131\u0301\u017eek","orcid":"https://orcid.org/0000-0002-5271-5038"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Michal K\u0159\u00ed\u017eek","raw_affiliation_strings":["Institute of Mathematics, Academy of Sciences, \u017ditn\u00e1 25, CZ\u2013115 67, Prague 1, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Academy of Sciences, \u017ditn\u00e1 25, CZ\u2013115 67, Prague 1, Czech Republic","institution_ids":["https://openalex.org/I4210120266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038776772","display_name":"Jakub \u0160olc","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jakub \u0160olc","raw_affiliation_strings":["Institute of Mathematics, Academy of Sciences, \u017ditn\u00e1 25, CZ\u2013115 67, Prague 1, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Academy of Sciences, \u017ditn\u00e1 25, CZ\u2013115 67, Prague 1, Czech Republic","institution_ids":["https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061709350"],"corresponding_institution_ids":["https://openalex.org/I2800229700"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3288,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.61832061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"384","last_page":"391"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9991000294685364,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/coefficient-matrix","display_name":"Coefficient matrix","score":0.7823022603988647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5776042342185974},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5131283402442932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4867872893810272},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3398391902446747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31087785959243774},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12747907638549805},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07196599245071411},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05044463276863098}],"concepts":[{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.7823022603988647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5776042342185974},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5131283402442932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4867872893810272},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3398391902446747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31087785959243774},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12747907638549805},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07196599245071411},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05044463276863098},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-00464-3_43","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-00464-3_43","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":23,"referenced_works":["https://openalex.org/W579258000","https://openalex.org/W1525526370","https://openalex.org/W1963927917","https://openalex.org/W1972799695","https://openalex.org/W1978455689","https://openalex.org/W1981299419","https://openalex.org/W1984815757","https://openalex.org/W2005379522","https://openalex.org/W2017204392","https://openalex.org/W2034029678","https://openalex.org/W2040456154","https://openalex.org/W2044069364","https://openalex.org/W2052841962","https://openalex.org/W2071066275","https://openalex.org/W2077780992","https://openalex.org/W2081166522","https://openalex.org/W2124856243","https://openalex.org/W2153407748","https://openalex.org/W2169782119","https://openalex.org/W2569133694","https://openalex.org/W2577909137","https://openalex.org/W2607581953","https://openalex.org/W3035235874"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W2349279770","https://openalex.org/W2061454923"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
