{"id":"https://openalex.org/W1967625101","doi":"https://doi.org/10.1007/s11075-012-9658-7","title":"Finite element approximations of a nonlinear diffusion model with memory","display_name":"Finite element approximations of a nonlinear diffusion model with memory","publication_year":2012,"publication_date":"2012-11-29","ids":{"openalex":"https://openalex.org/W1967625101","doi":"https://doi.org/10.1007/s11075-012-9658-7","mag":"1967625101"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-012-9658-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9658-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5072430897","display_name":"Temur Jangveladze","orcid":"https://orcid.org/0000-0003-1418-0105"},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]},{"id":"https://openalex.org/I223093266","display_name":"Caucasus University","ror":"https://ror.org/02tc4et63","country_code":"GE","type":"education","lineage":["https://openalex.org/I223093266"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"Temur Jangveladze","raw_affiliation_strings":["Caucasus University, 77 Kostava Ave., 0175, Tbilisi, Georgia","Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, 3 Chavchavdze Ave., 0179, Tbilisi, Georgia","Ilia Vekua Institute of Applied Mathematics, Ivane Javakhishvili Tbilisi State University, 2 University Street, 0186, Tbilisi, Georgia"],"affiliations":[{"raw_affiliation_string":"Caucasus University, 77 Kostava Ave., 0175, Tbilisi, Georgia","institution_ids":["https://openalex.org/I223093266"]},{"raw_affiliation_string":"Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, 3 Chavchavdze Ave., 0179, Tbilisi, Georgia","institution_ids":["https://openalex.org/I102808428"]},{"raw_affiliation_string":"Ilia Vekua Institute of Applied Mathematics, Ivane Javakhishvili Tbilisi State University, 2 University Street, 0186, Tbilisi, Georgia","institution_ids":["https://openalex.org/I102808428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087979430","display_name":"Zurab Kiguradze","orcid":"https://orcid.org/0000-0002-2463-5882"},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"Zurab Kiguradze","raw_affiliation_strings":["Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, 3 Chavchavdze Ave., 0179, Tbilisi, Georgia","Ilia Vekua Institute of Applied Mathematics, Ivane Javakhishvili Tbilisi State University, 2 University Street, 0186, Tbilisi, Georgia"],"affiliations":[{"raw_affiliation_string":"Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, 3 Chavchavdze Ave., 0179, Tbilisi, Georgia","institution_ids":["https://openalex.org/I102808428"]},{"raw_affiliation_string":"Ilia Vekua Institute of Applied Mathematics, Ivane Javakhishvili Tbilisi State University, 2 University Street, 0186, Tbilisi, Georgia","institution_ids":["https://openalex.org/I102808428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087251021","display_name":"Beny Neta","orcid":"https://orcid.org/0000-0002-7417-7496"},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Beny Neta","raw_affiliation_strings":["Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, 93943, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, 93943, USA","institution_ids":["https://openalex.org/I35364215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057413218","display_name":"Simeon Reich","orcid":"https://orcid.org/0000-0003-0780-1559"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Simeon Reich","raw_affiliation_strings":["Department of Mathematics, The Technion\u2013Israel Institute of Technology, 32000, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Technion\u2013Israel Institute of Technology, 32000, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087251021"],"corresponding_institution_ids":["https://openalex.org/I35364215"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6911,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.6947093,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"64","issue":"1","first_page":"127","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.996399998664856,"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":0.996399998664856,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.992900013923645,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9916999936103821,"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/mathematics","display_name":"Mathematics","score":0.726227879524231},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7219653129577637},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.718075692653656},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7019363641738892},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6523650884628296},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5601232051849365},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4999096393585205},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4774818420410156},{"id":"https://openalex.org/keywords/hp-fem","display_name":"hp-FEM","score":0.46183016896247864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4560849368572235},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.4337083399295807},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4290100038051605},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4124007225036621},{"id":"https://openalex.org/keywords/finite-element-limit-analysis","display_name":"Finite element limit analysis","score":0.20340204238891602},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09603744745254517},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0616641640663147}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.726227879524231},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7219653129577637},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.718075692653656},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7019363641738892},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6523650884628296},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5601232051849365},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4999096393585205},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4774818420410156},{"id":"https://openalex.org/C4349628","wikidata":"https://www.wikidata.org/wiki/Q17027720","display_name":"hp-FEM","level":5,"score":0.46183016896247864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4560849368572235},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.4337083399295807},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4290100038051605},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4124007225036621},{"id":"https://openalex.org/C93949632","wikidata":"https://www.wikidata.org/wiki/Q5450392","display_name":"Finite element limit analysis","level":4,"score":0.20340204238891602},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09603744745254517},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0616641640663147},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11075-012-9658-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9658-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.705.6284","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.705.6284","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"http://faculty.nps.edu/bneta/papers/NIDE-FE_NumerAlgor.pdf","raw_type":"text"},{"id":"pmh:oai:calhoun.nps.edu:10945/45445","is_oa":false,"landing_page_url":"http://hdl.handle.net/10945/45445","pdf_url":null,"source":{"id":"https://openalex.org/S4306400952","display_name":"Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35364215","host_organization_name":"Naval Postgraduate School","host_organization_lineage":["https://openalex.org/I35364215"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1566657275","https://openalex.org/W1964379106","https://openalex.org/W2010872619","https://openalex.org/W2015948634","https://openalex.org/W2020310269","https://openalex.org/W2039865972","https://openalex.org/W2044355921","https://openalex.org/W2058429926","https://openalex.org/W2069827495","https://openalex.org/W2085280711","https://openalex.org/W2086859763","https://openalex.org/W2096254157","https://openalex.org/W2161522429","https://openalex.org/W2321310861","https://openalex.org/W2324452751","https://openalex.org/W3027122203","https://openalex.org/W3091814460"],"related_works":["https://openalex.org/W1567939749","https://openalex.org/W2488818444","https://openalex.org/W2165887158","https://openalex.org/W2383924526","https://openalex.org/W2185206193","https://openalex.org/W1977906733","https://openalex.org/W2021654023","https://openalex.org/W2352023866","https://openalex.org/W4254088695","https://openalex.org/W1985262947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}