{"id":"https://openalex.org/W2058679184","doi":"https://doi.org/10.1007/s00607-003-0009-3","title":"Numerical Solution of a Reaction-Diffusion Elliptic Interface Problem with Strong Anisotropy","display_name":"Numerical Solution of a Reaction-Diffusion Elliptic Interface Problem with Strong Anisotropy","publication_year":2003,"publication_date":"2003-10-01","ids":{"openalex":"https://openalex.org/W2058679184","doi":"https://doi.org/10.1007/s00607-003-0009-3","mag":"2058679184"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-003-0009-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-003-0009-3","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5073389939","display_name":"Ilia A. Braianov","orcid":null},"institutions":[{"id":"https://openalex.org/I116528569","display_name":"European University of Lefke","ror":"https://ror.org/00t7bpe49","country_code":"TR","type":"education","lineage":["https://openalex.org/I116528569"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"I. Braianov","raw_affiliation_strings":["University of Rousse, Studentska str. 8, 7017, Rousse, Bulgaria","University of Rousse, Studentska str. 8, 7017 Rousse, Bulgaria#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Rousse, Studentska str. 8, 7017, Rousse, Bulgaria","institution_ids":["https://openalex.org/I116528569"]},{"raw_affiliation_string":"University of Rousse, Studentska str. 8, 7017 Rousse, Bulgaria#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026685590","display_name":"Lubin G. Vulkov","orcid":"https://orcid.org/0000-0003-0684-8574"},"institutions":[{"id":"https://openalex.org/I116528569","display_name":"European University of Lefke","ror":"https://ror.org/00t7bpe49","country_code":"TR","type":"education","lineage":["https://openalex.org/I116528569"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"L. Vulkov","raw_affiliation_strings":["University of Rousse, Studentska str. 8, 7017, Rousse, Bulgaria","University of Rousse, Studentska str. 8, 7017 Rousse, Bulgaria#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Rousse, Studentska str. 8, 7017, Rousse, Bulgaria","institution_ids":["https://openalex.org/I116528569"]},{"raw_affiliation_string":"University of Rousse, Studentska str. 8, 7017 Rousse, Bulgaria#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073389939"],"corresponding_institution_ids":["https://openalex.org/I116528569"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.6042,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89620991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"71","issue":"2","first_page":"153","last_page":"173"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.987500011920929,"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/T13685","display_name":"Material Science and Thermodynamics","score":0.9606000185012817,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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":0.6828912496566772},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6585178375244141},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.637074887752533},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5866588354110718},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5846074819564819},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5626348853111267},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.4910728931427002},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4780160188674927},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4643573760986328},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4542766213417053},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4460257589817047},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44066762924194336},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4229493737220764},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34310030937194824},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34100770950317383},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22640341520309448},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1468242108821869},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09414196014404297}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6828912496566772},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6585178375244141},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.637074887752533},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5866588354110718},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5846074819564819},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5626348853111267},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.4910728931427002},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4780160188674927},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4643573760986328},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4542766213417053},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4460257589817047},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44066762924194336},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4229493737220764},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34310030937194824},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34100770950317383},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22640341520309448},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1468242108821869},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09414196014404297},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"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/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00607-003-0009-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-003-0009-3","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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":8,"referenced_works":["https://openalex.org/W79873316","https://openalex.org/W2007422157","https://openalex.org/W2018262455","https://openalex.org/W2032898494","https://openalex.org/W2049528069","https://openalex.org/W2081719509","https://openalex.org/W2489664197","https://openalex.org/W2506466695"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W4251142058","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W1965041963","https://openalex.org/W2007426143","https://openalex.org/W2384221708","https://openalex.org/W1495835249"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}