{"id":"https://openalex.org/W4392741433","doi":"https://doi.org/10.1080/00207160.2024.2325676","title":"Robust convergence result of discontinuous Galerkin stabilization method for two-dimensional reaction\u2013diffusion equation with discontinuous source term","display_name":"Robust convergence result of discontinuous Galerkin stabilization method for two-dimensional reaction\u2013diffusion equation with discontinuous source term","publication_year":2024,"publication_date":"2024-03-03","ids":{"openalex":"https://openalex.org/W4392741433","doi":"https://doi.org/10.1080/00207160.2024.2325676"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2024.2325676","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2325676","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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":"https://openalex.org/A5076002980","display_name":"Kumar Rajeev Ranjan","orcid":"https://orcid.org/0000-0001-9320-4018"},"institutions":[{"id":"https://openalex.org/I11793825","display_name":"National Institute of Technology Patna","ror":"https://ror.org/056wyhh33","country_code":"IN","type":"education","lineage":["https://openalex.org/I11793825","https://openalex.org/I4210152752"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kumar Rajeev Ranjan","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Patna, Patna, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Patna, Patna, India","institution_ids":["https://openalex.org/I11793825"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074118914","display_name":"S. Gowrisankar","orcid":null},"institutions":[{"id":"https://openalex.org/I11793825","display_name":"National Institute of Technology Patna","ror":"https://ror.org/056wyhh33","country_code":"IN","type":"education","lineage":["https://openalex.org/I11793825","https://openalex.org/I4210152752"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. Gowrisankar","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Patna, Patna, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Patna, Patna, India","institution_ids":["https://openalex.org/I11793825"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074118914"],"corresponding_institution_ids":["https://openalex.org/I11793825"],"apc_list":null,"apc_paid":null,"fwci":0.765,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6068098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"101","issue":"3","first_page":"255","last_page":"280"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"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"}},{"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8224539756774902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8033413887023926},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7108255624771118},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7053917646408081},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6168105006217957},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.608469545841217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5656846761703491},{"id":"https://openalex.org/keywords/bilinear-form","display_name":"Bilinear form","score":0.48644185066223145},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.47538626194000244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4520346224308014},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.42765742540359497},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3809458315372467}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8224539756774902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8033413887023926},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7108255624771118},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7053917646408081},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6168105006217957},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.608469545841217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5656846761703491},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.48644185066223145},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.47538626194000244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4520346224308014},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.42765742540359497},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3809458315372467},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2024.2325676","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2325676","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W603226872","https://openalex.org/W982144962","https://openalex.org/W1476132770","https://openalex.org/W1583880678","https://openalex.org/W1980163734","https://openalex.org/W1994912903","https://openalex.org/W2001553416","https://openalex.org/W2023502036","https://openalex.org/W2026228154","https://openalex.org/W2047389841","https://openalex.org/W2048058162","https://openalex.org/W2048721819","https://openalex.org/W2049528069","https://openalex.org/W2058679184","https://openalex.org/W2060781189","https://openalex.org/W2064715153","https://openalex.org/W2082741499","https://openalex.org/W2086268649","https://openalex.org/W2100295905","https://openalex.org/W2130350269","https://openalex.org/W2144463439","https://openalex.org/W2161502942","https://openalex.org/W2506466695","https://openalex.org/W3212718766","https://openalex.org/W4212955198","https://openalex.org/W4223429834","https://openalex.org/W4224997943","https://openalex.org/W4241946322","https://openalex.org/W4280561001","https://openalex.org/W4281693996","https://openalex.org/W4283742823","https://openalex.org/W4296210158","https://openalex.org/W4308842136"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2120874885","https://openalex.org/W1702821","https://openalex.org/W1484056900","https://openalex.org/W4244584856","https://openalex.org/W2127980043","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440","https://openalex.org/W2168805210"],"abstract_inverted_index":{"A":[0],"reaction\u2013diffusion":[1],"problem":[2,22],"with":[3,43,48],"discontinuous":[4,38],"source":[5],"term":[6],"and":[7,36,82],"Dirichlet's":[8],"boundary":[9],"conditions":[10],"on":[11,69],"the":[12,62,70,74,77,87,99],"unit":[13],"square":[14],"is":[15,67,79,84,101],"considered":[16],"in":[17,115],"this":[18],"paper.":[19],"The":[20],"proposed":[21],"has":[23,57],"been":[24,58],"discretized":[25],"using":[26],"a":[27],"combination":[28],"of":[29,54,73,93,96,107,117],"standard":[30],"Galerkin":[31,39,65],"finite":[32,40],"element":[33,41],"method":[34,42],"(FEM)":[35],"non-symmetric":[37],"an":[44],"interior":[45],"penalty":[46],"(NIPG)":[47],"bilinear":[49],"elements.":[50],"Layer":[51],"adapted":[52],"mesh":[53],"Shishkin":[55],"type":[56],"utilized":[59],"to":[60,86,103],"discretize":[61],"domain.":[63],"Standard":[64],"FEM":[66],"applied":[68,85],"layer":[71,89],"part":[72],"domain":[75,78],"where":[76],"dense":[80],"enough":[81],"NIPG":[83],"outside":[88],"part.":[90],"By":[91],"means":[92],"special":[94],"choice":[95],"discontinuity-penalization":[97],"parameters,":[98],"scheme":[100],"proved":[102],"be":[104],"uniformly":[105],"convergent":[106],"order":[108],"O(\u03b51/4N\u22121+N\u22121ln\u2061N).":[109],"Numerical":[110],"tests":[111],"are":[112],"carried":[113],"out":[114],"support":[116],"theoretical":[118],"findings.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}