{"id":"https://openalex.org/W2134637938","doi":"https://doi.org/10.1007/s00211-014-0604-6","title":"Uniform global bounds for solutions of an implicit Voronoi finite volume method for reaction\u2013diffusion problems","display_name":"Uniform global bounds for solutions of an implicit Voronoi finite volume method for reaction\u2013diffusion problems","publication_year":2014,"publication_date":"2014-01-18","ids":{"openalex":"https://openalex.org/W2134637938","doi":"https://doi.org/10.1007/s00211-014-0604-6","mag":"2134637938"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0604-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0604-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5086990500","display_name":"Andr\u00e9 Fiebach","orcid":null},"institutions":[{"id":"https://openalex.org/I1285933455","display_name":"Physikalisch-Technische Bundesanstalt","ror":"https://ror.org/05r3f7h03","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1285933455","https://openalex.org/I4210136623"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Fiebach","raw_affiliation_strings":["Physikalisch-Technische Bundesanstalt (PTB), Abbestra\u00dfe 2-12, 10587\u00a0, Berlin, Germany","Physikalisch-Technische Bundesanstalt (PTB), Berlin, Germany 10587#TAB#"],"affiliations":[{"raw_affiliation_string":"Physikalisch-Technische Bundesanstalt (PTB), Abbestra\u00dfe 2-12, 10587\u00a0, Berlin, Germany","institution_ids":["https://openalex.org/I1285933455"]},{"raw_affiliation_string":"Physikalisch-Technische Bundesanstalt (PTB), Berlin, Germany 10587#TAB#","institution_ids":["https://openalex.org/I1285933455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031403995","display_name":"Annegret Glitzky","orcid":"https://orcid.org/0000-0003-1995-5491"},"institutions":[{"id":"https://openalex.org/I4210156597","display_name":"Forschungsverbund Berlin","ror":"https://ror.org/059m1v232","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210156597"]},{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Annegret Glitzky","raw_affiliation_strings":["Weierstrass Institute, Leibniz Institute in Forschungsverbund Berlin e.V. (WIAS), Mohrenstr. 39, 10117\u00a0, Berlin, Germany","Weierstrass Institute, Leibniz Institute in Forschungsverbund Berlin e.V. (WIAS), Berlin, Germany 10117#TAB#"],"affiliations":[{"raw_affiliation_string":"Weierstrass Institute, Leibniz Institute in Forschungsverbund Berlin e.V. (WIAS), Mohrenstr. 39, 10117\u00a0, Berlin, Germany","institution_ids":["https://openalex.org/I4210156597"]},{"raw_affiliation_string":"Weierstrass Institute, Leibniz Institute in Forschungsverbund Berlin e.V. (WIAS), Berlin, Germany 10117#TAB#","institution_ids":["https://openalex.org/I4210156597","https://openalex.org/I4210092021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024764407","display_name":"Alexander Linke","orcid":"https://orcid.org/0000-0002-0165-2698"},"institutions":[{"id":"https://openalex.org/I4210156597","display_name":"Forschungsverbund Berlin","ror":"https://ror.org/059m1v232","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210156597"]},{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Linke","raw_affiliation_strings":["Weierstrass Institute, Leibniz Institute in Forschungsverbund Berlin e.V. (WIAS), Mohrenstr. 39, 10117\u00a0, Berlin, Germany","Weierstrass Institute, Leibniz Institute in Forschungsverbund Berlin e.V. (WIAS), Berlin, Germany 10117#TAB#"],"affiliations":[{"raw_affiliation_string":"Weierstrass Institute, Leibniz Institute in Forschungsverbund Berlin e.V. (WIAS), Mohrenstr. 39, 10117\u00a0, Berlin, Germany","institution_ids":["https://openalex.org/I4210156597"]},{"raw_affiliation_string":"Weierstrass Institute, Leibniz Institute in Forschungsverbund Berlin e.V. (WIAS), Berlin, Germany 10117#TAB#","institution_ids":["https://openalex.org/I4210156597","https://openalex.org/I4210092021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086990500"],"corresponding_institution_ids":["https://openalex.org/I1285933455"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.2156,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.91397198,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"128","issue":"1","first_page":"31","last_page":"72"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9987999796867371,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9972000122070312,"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/discretization","display_name":"Discretization","score":0.8819411396980286},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.8480658531188965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7505470514297485},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6817747354507446},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5926698446273804},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5700611472129822},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5665923953056335},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.556804895401001},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5226490497589111},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48205265402793884},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4705249071121216},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.4169260263442993},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3184582591056824},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1940549910068512}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8819411396980286},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.8480658531188965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7505470514297485},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6817747354507446},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5926698446273804},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5700611472129822},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5665923953056335},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.556804895401001},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5226490497589111},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48205265402793884},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4705249071121216},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.4169260263442993},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3184582591056824},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1940549910068512},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"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/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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0604-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0604-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W135703179","https://openalex.org/W589621558","https://openalex.org/W601797399","https://openalex.org/W1543500414","https://openalex.org/W1547403762","https://openalex.org/W1549748890","https://openalex.org/W1552577140","https://openalex.org/W1581078542","https://openalex.org/W1653619892","https://openalex.org/W1934917279","https://openalex.org/W1970874738","https://openalex.org/W1976375362","https://openalex.org/W1989122071","https://openalex.org/W1990432342","https://openalex.org/W1993247264","https://openalex.org/W1998454639","https://openalex.org/W1999802587","https://openalex.org/W2010507423","https://openalex.org/W2012331447","https://openalex.org/W2016961231","https://openalex.org/W2036619131","https://openalex.org/W2039023074","https://openalex.org/W2042045653","https://openalex.org/W2042886094","https://openalex.org/W2049013147","https://openalex.org/W2050964264","https://openalex.org/W2055309078","https://openalex.org/W2064534988","https://openalex.org/W2071039916","https://openalex.org/W2083925929","https://openalex.org/W2085605680","https://openalex.org/W2086766830","https://openalex.org/W2087974611","https://openalex.org/W2113270919","https://openalex.org/W2127668987","https://openalex.org/W2130664689","https://openalex.org/W2133642729","https://openalex.org/W2136496077","https://openalex.org/W2136776648","https://openalex.org/W2138620270","https://openalex.org/W2146890124","https://openalex.org/W2501873590","https://openalex.org/W2515579525","https://openalex.org/W2582171088","https://openalex.org/W2949892579","https://openalex.org/W4232082450","https://openalex.org/W4248319713","https://openalex.org/W4292329038"],"related_works":["https://openalex.org/W2059217232","https://openalex.org/W1992160534","https://openalex.org/W2371724110","https://openalex.org/W1930867958","https://openalex.org/W1995318580","https://openalex.org/W2041214247","https://openalex.org/W2133344964","https://openalex.org/W4206423751","https://openalex.org/W2150727083","https://openalex.org/W2051752778"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
