{"id":"https://openalex.org/W2050984980","doi":"https://doi.org/10.1137/120880112","title":"Implicit--Explicit Timestepping with Finite Element Approximation of Reaction--Diffusion Systems on Evolving Domains","display_name":"Implicit--Explicit Timestepping with Finite Element Approximation of Reaction--Diffusion Systems on Evolving Domains","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2050984980","doi":"https://doi.org/10.1137/120880112","mag":"2050984980"},"language":"en","primary_location":{"id":"doi:10.1137/120880112","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120880112","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1111.5052","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Omar Lakkis","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Omar Lakkis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Anotida Madzvamuse","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anotida Madzvamuse","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Chandrasekhar Venkataraman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chandrasekhar Venkataraman","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.7998,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.93837147,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"51","issue":"4","first_page":"2309","last_page":"2330"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.2409999966621399,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.2409999966621399,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.17669999599456787,"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":0.1704999953508377,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.8906000256538391},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6664000153541565},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6467000246047974},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.6290000081062317},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5931000113487244},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5095999836921692},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.42890000343322754},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42640000581741333}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.8906000256538391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7989000082015991},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6664000153541565},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6467000246047974},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.6290000081062317},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5931000113487244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5257999897003174},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5095999836921692},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.499099999666214},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.42890000343322754},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42640000581741333},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C2776392105","wikidata":"https://www.wikidata.org/wiki/Q875744","display_name":"Euler\u2013Lagrange equation","level":3,"score":0.3873000144958496},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3564000129699707},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.33649998903274536},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.31700000166893005},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.29159998893737793},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.29030001163482666},{"id":"https://openalex.org/C89901390","wikidata":"https://www.wikidata.org/wiki/Q6418927","display_name":"Lagrangian and Eulerian specification of the flow field","level":4,"score":0.2793000042438507},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.2526000142097473}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/120880112","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120880112","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"},{"id":"pmh:oai:arXiv.org:1111.5052","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1111.5052","pdf_url":"https://arxiv.org/pdf/1111.5052","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:alma.39UBZ_INST:11256867720001241","is_oa":false,"landing_page_url":"https://epubs.siam.org/doi/abs/10.1137/120880112","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:unibz.it:11256867720001241","is_oa":false,"landing_page_url":"https://bia.unibz.it/esploro/outputs/journalArticle/Implicit-Explicit-Timestepping-with-Finite-Element-Approximation/991006019551201241","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1111.5052","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1111.5052","pdf_url":"https://arxiv.org/pdf/1111.5052","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2355271421","display_name":null,"funder_award_id":"EP/H020349/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G570629271","display_name":null,"funder_award_id":"EP/J016780/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1963942260","https://openalex.org/W1966227249","https://openalex.org/W1966916294","https://openalex.org/W1968426085","https://openalex.org/W1980661496","https://openalex.org/W1991325491","https://openalex.org/W1992963104","https://openalex.org/W1998666864","https://openalex.org/W2001655334","https://openalex.org/W2003798742","https://openalex.org/W2013613158","https://openalex.org/W2029870529","https://openalex.org/W2033596376","https://openalex.org/W2038480876","https://openalex.org/W2047378168","https://openalex.org/W2048176602","https://openalex.org/W2052006012","https://openalex.org/W2055982381","https://openalex.org/W2066016361","https://openalex.org/W2067511295","https://openalex.org/W2075598188","https://openalex.org/W2076774226","https://openalex.org/W2079138830","https://openalex.org/W2097987409","https://openalex.org/W2126283920","https://openalex.org/W2142077561","https://openalex.org/W2148158948","https://openalex.org/W2316564661","https://openalex.org/W4244242133","https://openalex.org/W4253408650"],"related_works":[],"abstract_inverted_index":{"We":[0,28,60,76,97],"present":[1],"and":[2,58,68,71,91],"analyze":[3],"an":[4,105,111],"implicit--explicit":[5],"timestepping":[6],"procedure":[7],"with":[8],"finite":[9],"element":[10],"spatial":[11],"approximation":[12],"for":[13,42,104],"semilinear":[14],"reaction--diffusion":[15],"systems":[16],"on":[17,45,85,100,110],"evolving":[18,112],"domains":[19],"arising":[20],"from":[21],"biological":[22],"models,":[23],"such":[24],"as":[25],"Schnakenberg's":[26],"(1979).":[27],"employ":[29],"a":[30,46,72,101],"Lagrangian":[31,90],"formulation":[32],"of":[33,88],"the":[34,39,54,66,86,89,92],"model":[35],"equations":[36,44],"which":[37],"permits":[38],"error":[40,63],"analysis":[41],"parabolic":[43],"fixed":[47],"domain":[48],"but":[49],"introduces":[50],"technical":[51],"difficulties,":[52],"foremost":[53],"space-time":[55],"dependent":[56],"conductivity":[57],"diffusion.":[59],"prove":[61],"optimal-order":[62],"estimates":[64],"in":[65],"${L}_{\\infty}(0,T;{L}_{2}(\\varOmega))$":[67],"${L}_{2}(0,T;{H}^{1}(\\varOmega))$":[69],"norms,":[70],"pointwise":[73],"stability":[74],"result.":[75],"remark":[77],"that":[78],"these":[79],"apply":[80],"to":[81,107],"Eulerian":[82,93],"solutions.":[83],"Details":[84],"implementation":[87],"scheme":[94],"are":[95],"provided.":[96],"also":[98],"report":[99],"numerical":[102],"experiment":[103],"application":[106],"pattern":[108],"formation":[109],"domain.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-25T14:56:36.534964","created_date":"2016-06-24T00:00:00"}