{"id":"https://openalex.org/W2079170336","doi":"https://doi.org/10.1137/040605357","title":"Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients","display_name":"Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2079170336","doi":"https://doi.org/10.1137/040605357","mag":"2079170336"},"language":"en","primary_location":{"id":"doi:10.1137/040605357","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040605357","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":"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/A5019723508","display_name":"Rajen Kumar Sinha","orcid":"https://orcid.org/0000-0002-5910-8943"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rajen Kumar Sinha","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5018952031","display_name":"Bhupen Deka","orcid":"https://orcid.org/0000-0003-2193-063X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bhupen Deka","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8284,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.74570961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"43","issue":"2","first_page":"733","last_page":"749"},"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":1.0,"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":1.0,"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":0.9980999827384949,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9965999722480774,"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/mathematics","display_name":"Mathematics","score":0.8611211776733398},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8500422239303589},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.845353901386261},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7717864513397217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5826958417892456},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5453402996063232},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5227080583572388},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49275925755500793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46327754855155945}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8611211776733398},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8500422239303589},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.845353901386261},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7717864513397217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5826958417892456},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5453402996063232},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5227080583572388},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49275925755500793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46327754855155945},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/040605357","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040605357","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W223824466","https://openalex.org/W1492326914","https://openalex.org/W1575849776","https://openalex.org/W1963952659","https://openalex.org/W1986054947","https://openalex.org/W2006213599","https://openalex.org/W2010165577","https://openalex.org/W2012369527","https://openalex.org/W2041523977","https://openalex.org/W2042669113","https://openalex.org/W2050823481","https://openalex.org/W2060170348","https://openalex.org/W2062618977","https://openalex.org/W2089181747","https://openalex.org/W2139028023","https://openalex.org/W4242273588"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2055696851","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":{"A":[0],"finite":[1,35,51,70],"element":[2,36,52,71],"discretization":[3],"is":[4,93,105,116],"proposed":[5],"and":[6,79,125],"analyzed":[7,117],"for":[8,107,118,134],"a":[9,50],"linear":[10],"parabolic":[11],"problems":[12],"with":[13,33],"discontinuous":[14,113],"coefficients.":[15],"Due":[16],"to":[17,27,59,84,131],"low":[18,94],"global":[19],"regularity":[20,89],"of":[21,31,64,90,127],"the":[22,88,91,96,100,108,112,119,128],"solution,":[23],"it":[24],"seems":[25],"difficult":[26],"achieve":[28],"optimal":[29],"order":[30,74],"convergence":[32],"classical":[34,69],"methods":[37],"[Numer.":[38],"Math.,":[39],"79":[40],"(1998),":[41],"pp.":[42],"175--202].":[43],"In":[44],"this":[45],"paper,":[46],"we":[47],"have":[48],"used":[49],"discretization,":[53],"where":[54],"interface":[55],"triangles":[56,62,66],"are":[57,82],"assumed":[58],"be":[60,132],"curved":[61],"instead":[63],"straight":[65],"as":[67],"in":[68,77],"methods.":[72],"Optimal":[73],"error":[75],"estimates":[76],"L2":[78],"H1":[80],"norms":[81],"shown":[83],"hold":[85],"even":[86],"if":[87],"solution":[92],"on":[95],"whole":[97],"domain.":[98],"While":[99],"continuous":[101],"time":[102],"Galerkin":[103,114],"method":[104,115],"discussed":[106],"spatially":[109],"discrete":[110,121],"scheme,":[111],"fully":[120],"scheme.":[122],"The":[123],"interfaces":[124],"boundaries":[126],"domains":[129],"areassumed":[130],"smooth":[133],"our":[135],"purpose.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}