{"id":"https://openalex.org/W2054872369","doi":"https://doi.org/10.1007/s00211-015-0698-5","title":"Maximum-norm stability and maximal $$L^{p}$$ L p regularity of FEMs for parabolic equations with Lipschitz continuous coefficients","display_name":"Maximum-norm stability and maximal $$L^{p}$$ L p regularity of FEMs for parabolic equations with Lipschitz continuous coefficients","publication_year":2015,"publication_date":"2015-01-10","ids":{"openalex":"https://openalex.org/W2054872369","doi":"https://doi.org/10.1007/s00211-015-0698-5","mag":"2054872369"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-015-0698-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-015-0698-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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":"https://openalex.org/A5039197834","display_name":"Buyang Li","orcid":"https://orcid.org/0000-0001-7566-3464"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Buyang Li","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Nanjing, 210093, Jiangsu, People\u2019s Republic of China","Department of Mathematics, Nanjing University, Nanjing, People's Republic of China 210093#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing, 210093, Jiangsu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing, People's Republic of China 210093#TAB#","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039197834"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.0355,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.96507272,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"131","issue":"3","first_page":"489","last_page":"516"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9984999895095825,"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":0.9054296016693115},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7808094024658203},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.649857759475708},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6457715630531311},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6319913864135742},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5686064958572388},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5623250603675842},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.48765885829925537},{"id":"https://openalex.org/keywords/lipschitz-domain","display_name":"Lipschitz domain","score":0.462853342294693},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.22545844316482544},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06183573603630066}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9054296016693115},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7808094024658203},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.649857759475708},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6457715630531311},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6319913864135742},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5686064958572388},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5623250603675842},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.48765885829925537},{"id":"https://openalex.org/C13474197","wikidata":"https://www.wikidata.org/wiki/Q1158876","display_name":"Lipschitz domain","level":3,"score":0.462853342294693},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.22545844316482544},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06183573603630066},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/s00211-015-0698-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-015-0698-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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":43,"referenced_works":["https://openalex.org/W99776242","https://openalex.org/W167176134","https://openalex.org/W278963926","https://openalex.org/W560409768","https://openalex.org/W589295998","https://openalex.org/W1510033248","https://openalex.org/W1530034100","https://openalex.org/W1571973799","https://openalex.org/W1599396261","https://openalex.org/W1610419104","https://openalex.org/W1964925308","https://openalex.org/W1967868847","https://openalex.org/W1968519362","https://openalex.org/W1972577443","https://openalex.org/W1978066710","https://openalex.org/W1984477528","https://openalex.org/W1986988877","https://openalex.org/W1989819667","https://openalex.org/W2007962250","https://openalex.org/W2011561250","https://openalex.org/W2013613158","https://openalex.org/W2021510322","https://openalex.org/W2041714615","https://openalex.org/W2049473070","https://openalex.org/W2063225484","https://openalex.org/W2065968911","https://openalex.org/W2080951455","https://openalex.org/W2081214876","https://openalex.org/W2081714730","https://openalex.org/W2082621526","https://openalex.org/W2085842397","https://openalex.org/W2106892318","https://openalex.org/W2185463413","https://openalex.org/W2479918603","https://openalex.org/W2504755802","https://openalex.org/W3041584695","https://openalex.org/W3118478457","https://openalex.org/W4229850676","https://openalex.org/W4232499108","https://openalex.org/W4242273588","https://openalex.org/W4253840677","https://openalex.org/W4285719527","https://openalex.org/W4292024750"],"related_works":["https://openalex.org/W2042906150","https://openalex.org/W3014335474","https://openalex.org/W2499849978","https://openalex.org/W2022300732","https://openalex.org/W2897842840","https://openalex.org/W4293385557","https://openalex.org/W2073281382","https://openalex.org/W4226360335","https://openalex.org/W1642415801","https://openalex.org/W2973109582"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}