{"id":"https://openalex.org/W2890926745","doi":"https://doi.org/10.1007/s10444-019-09674-0","title":"Convergence of an implicit Euler Galerkin scheme for Poisson\u2013Maxwell\u2013Stefan systems","display_name":"Convergence of an implicit Euler Galerkin scheme for Poisson\u2013Maxwell\u2013Stefan systems","publication_year":2019,"publication_date":"2019-03-07","ids":{"openalex":"https://openalex.org/W2890926745","doi":"https://doi.org/10.1007/s10444-019-09674-0","mag":"2890926745"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-019-09674-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-019-09674-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-019-09674-0.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10444-019-09674-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084423759","display_name":"Ansgar J\u00fcngel","orcid":"https://orcid.org/0000-0003-0633-8929"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Ansgar J\u00fcngel","raw_affiliation_strings":["Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8\u201310, 1040, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0003-0633-8929","affiliations":[{"raw_affiliation_string":"Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8\u201310, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086957236","display_name":"Oliver Leingang","orcid":"https://orcid.org/0000-0003-4569-3819"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Oliver Leingang","raw_affiliation_strings":["Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8\u201310, 1040, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8\u201310, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084423759"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":1996,"currency":"EUR","value_usd":2152},"fwci":1.942,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84393279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"45","issue":"3","first_page":"1469","last_page":"1498"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9983000159263611,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9983000159263611,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9912999868392944,"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":0.6629927158355713},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5430876016616821},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.49063482880592346},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.46351706981658936},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44224902987480164},{"id":"https://openalex.org/keywords/uniform-boundedness","display_name":"Uniform boundedness","score":0.438780277967453},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.4240614175796509},{"id":"https://openalex.org/keywords/barycentric-coordinate-system","display_name":"Barycentric coordinate system","score":0.4225083589553833},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.4127756357192993},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.4125830829143524},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.374037504196167},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3273664712905884},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.24012982845306396},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2165849506855011},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17345207929611206},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.12725010514259338}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6629927158355713},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5430876016616821},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.49063482880592346},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.46351706981658936},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44224902987480164},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.438780277967453},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.4240614175796509},{"id":"https://openalex.org/C128356825","wikidata":"https://www.wikidata.org/wiki/Q738422","display_name":"Barycentric coordinate system","level":2,"score":0.4225083589553833},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.4127756357192993},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.4125830829143524},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.374037504196167},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3273664712905884},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.24012982845306396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2165849506855011},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17345207929611206},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.12725010514259338},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-019-09674-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-019-09674-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-019-09674-0.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10444-019-09674-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-019-09674-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-019-09674-0.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1742109135","display_name":"Dissipation and dispersion in differential equations","funder_award_id":"W1245","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G2568532592","display_name":"Taming Complexity in Partial Differential Systems","funder_award_id":"F65","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G2702746402","display_name":"Derivation and analysis of cross-diffusion systems","funder_award_id":"P30000","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G4122497205","display_name":"Analysis of diffusion models for multi-species systems","funder_award_id":"P27352","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2890926745.pdf","grobid_xml":"https://content.openalex.org/works/W2890926745.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W647496280","https://openalex.org/W1487310864","https://openalex.org/W1553828585","https://openalex.org/W1824897742","https://openalex.org/W1973966038","https://openalex.org/W1977068700","https://openalex.org/W1981249895","https://openalex.org/W1990926059","https://openalex.org/W1991231856","https://openalex.org/W2016961231","https://openalex.org/W2022860984","https://openalex.org/W2052724887","https://openalex.org/W2072344454","https://openalex.org/W2076721422","https://openalex.org/W2087514004","https://openalex.org/W2089632236","https://openalex.org/W2100938255","https://openalex.org/W2109515304","https://openalex.org/W2126834831","https://openalex.org/W2139620691","https://openalex.org/W2166013791","https://openalex.org/W2167301515","https://openalex.org/W2169215165","https://openalex.org/W2169704717","https://openalex.org/W2169991974","https://openalex.org/W2178791305","https://openalex.org/W2324715831","https://openalex.org/W2515579525","https://openalex.org/W2609593579","https://openalex.org/W2735045162","https://openalex.org/W2804979424","https://openalex.org/W2916130146","https://openalex.org/W2952438181","https://openalex.org/W2963305043","https://openalex.org/W2963966079","https://openalex.org/W3103765102","https://openalex.org/W4292329038"],"related_works":["https://openalex.org/W3046826018","https://openalex.org/W1837290348","https://openalex.org/W2078096344","https://openalex.org/W2258456823","https://openalex.org/W2549622050","https://openalex.org/W4235859817","https://openalex.org/W2137742453","https://openalex.org/W2153764672","https://openalex.org/W1812460224","https://openalex.org/W2292615989"],"abstract_inverted_index":{"A":[0],"fully":[1],"discrete":[2,85],"Galerkin":[3,59,96],"scheme":[4,60,97],"for":[5,12,22],"a":[6,49,102,105],"thermodynamically":[7],"consistent":[8],"transient":[9],"Maxwell\u2013Stefan":[10],"system":[11,29,110],"the":[13,19,23,31,62,65,68,75,81,84,95,99,108,117,121,124,128,134,138,142,146],"mass":[14],"particle":[15,69,139],"densities,":[16,70],"coupled":[17],"to":[18,94,104,107,114],"Poisson":[20],"equation":[21],"electric":[24,129],"potential,":[25],"is":[26,88,111],"investigated.":[27],"The":[28,44,58,90],"models":[30],"diffusive":[32],"dynamics":[33],"of":[34,67,78,92,101,123,137],"an":[35],"isothermal":[36],"ionized":[37],"fluid":[38],"mixture":[39],"with":[40],"vanishing":[41],"barycentric":[42],"velocity.":[43],"equations":[45],"are":[46,56],"studied":[47],"in":[48,80,120],"bounded":[50],"domain,":[51],"and":[52,73,98,141],"different":[53],"molar":[54,147],"masses":[55],"allowed.":[57],"preserves":[61],"total":[63],"mass,":[64],"nonnegativity":[66],"their":[71],"boundedness":[72],"satisfies":[74],"second":[76],"law":[77],"thermodynamics":[79],"sense":[82],"that":[83],"entropy":[86],"production":[87],"nonnegative.":[89],"existence":[91],"solutions":[93],"convergence":[100],"subsequence":[103],"solution":[106],"continuous":[109],"proved.":[112],"Compared":[113],"previous":[115],"works,":[116],"novelty":[118],"consists":[119],"treatment":[122],"drift":[125],"terms":[126],"involving":[127],"field.":[130],"Numerical":[131],"experiments":[132],"show":[133],"sensitive":[135],"dependence":[136],"densities":[140],"equilibration":[143],"rate":[144],"on":[145],"masses.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-12T08:28:47.272897","created_date":"2025-10-10T00:00:00"}