{"id":"https://openalex.org/W2004103270","doi":"https://doi.org/10.1007/s00791-008-0119-8","title":"On efficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refinement solver","display_name":"On efficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refinement solver","publication_year":2008,"publication_date":"2008-08-04","ids":{"openalex":"https://openalex.org/W2004103270","doi":"https://doi.org/10.1007/s00791-008-0119-8","mag":"2004103270"},"language":"en","primary_location":{"id":"doi:10.1007/s00791-008-0119-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-008-0119-8","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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 and Visualization in Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://publica.fraunhofer.de/documents/N-46421.html","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060598527","display_name":"Oleg Iliev","orcid":"https://orcid.org/0000-0002-9691-4100"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I3019415892","display_name":"Fraunhofer Institute for Industrial Mathematics","ror":"https://ror.org/019hjw009","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3019415892","https://openalex.org/I4923324"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG","DE"],"is_corresponding":true,"raw_author_name":"Oleg Iliev","raw_affiliation_strings":["Fraunhofer Institut f\u00fcr, Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany","Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria","Fraunhofer Institut f\u00fcr, Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fraunhofer Institut f\u00fcr, Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany","institution_ids":["https://openalex.org/I3019415892"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"raw_affiliation_string":"Fraunhofer Institut f\u00fcr, Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I3019415892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108413112","display_name":"Daniela Vassileva","orcid":null},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Daniela Vassileva","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria","Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 8, 1113, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 8, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111402391","display_name":"D. Ts. Stoyanov","orcid":null},"institutions":[{"id":"https://openalex.org/I3019415892","display_name":"Fraunhofer Institute for Industrial Mathematics","ror":"https://ror.org/019hjw009","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3019415892","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dimitar Stoyanov","raw_affiliation_strings":["Fraunhofer Institut f\u00fcr, Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany","Fraunhofer Institut f\u00fcr, Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fraunhofer Institut f\u00fcr, Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany","institution_ids":["https://openalex.org/I3019415892"]},{"raw_affiliation_string":"Fraunhofer Institut f\u00fcr, Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I3019415892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011089877","display_name":"Willy D\u00f6rfler","orcid":"https://orcid.org/0000-0003-1558-9236"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Willy D\u00f6rfler","raw_affiliation_strings":["Institut f\u00fcr Angewandte und Numerische Mathematik, Universit\u00e4t Karlsruhe (TH), Karlsruhe, Germany","Institut f\u00fcr Angewandte und Numerische Mathematik, Universit\u00e4t Karlsruhe (TH), 76128, Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte und Numerische Mathematik, Universit\u00e4t Karlsruhe (TH), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Institut f\u00fcr Angewandte und Numerische Mathematik, Universit\u00e4t Karlsruhe (TH), 76128, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011089877","https://openalex.org/A5060598527","https://openalex.org/A5108413112","https://openalex.org/A5111402391"],"corresponding_institution_ids":["https://openalex.org/I102335020","https://openalex.org/I24768866","https://openalex.org/I3019415892","https://openalex.org/I4210105926"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09884735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"1","first_page":"1","last_page":"16"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9973000288009644,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/multigrid-method","display_name":"Multigrid method","score":0.7746412754058838},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7470975518226624},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.6707992553710938},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6605742573738098},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5703114867210388},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.515915036201477},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49718955159187317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4761224389076233},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4691281318664551},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4523535370826721},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4199320375919342},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.37856677174568176},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.23800736665725708},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20643797516822815},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19287002086639404},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09326836466789246}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.7746412754058838},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7470975518226624},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.6707992553710938},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6605742573738098},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5703114867210388},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.515915036201477},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49718955159187317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4761224389076233},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4691281318664551},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4523535370826721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4199320375919342},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.37856677174568176},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.23800736665725708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20643797516822815},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19287002086639404},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09326836466789246},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00791-008-0119-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-008-0119-8","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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 and Visualization in Science","raw_type":"journal-article"},{"id":"pmh:oai:fraunhofer.de:N-117977","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-117977.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer ITWM","raw_type":"Journal Article"},{"id":"pmh:oai:fraunhofer.de:N-46421","is_oa":true,"landing_page_url":"http://publica.fraunhofer.de/documents/N-46421.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer ITWM","raw_type":"Report"},{"id":"pmh:oai:publica.fraunhofer.de:publica/221199","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/221199","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"journal article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/292343","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/292343","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"report"},{"id":"doi:10.24406/publica-fhg-292343","is_oa":true,"landing_page_url":"https://doi.org/10.24406/publica-fhg-292343","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:fraunhofer.de:N-46421","is_oa":true,"landing_page_url":"http://publica.fraunhofer.de/documents/N-46421.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer ITWM","raw_type":"Report"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6899999976158142,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W16922152","https://openalex.org/W1553070284","https://openalex.org/W1572639095","https://openalex.org/W1989594010","https://openalex.org/W1993064848","https://openalex.org/W1994336408","https://openalex.org/W1995404822","https://openalex.org/W2012492661","https://openalex.org/W2039924562","https://openalex.org/W2047586811","https://openalex.org/W2062959297","https://openalex.org/W2082952355","https://openalex.org/W2083759138","https://openalex.org/W2094875449","https://openalex.org/W2098095922","https://openalex.org/W2127981460","https://openalex.org/W2142654793","https://openalex.org/W2151317657","https://openalex.org/W2153227403","https://openalex.org/W2155395549","https://openalex.org/W2505585705","https://openalex.org/W4230055019","https://openalex.org/W4300509647"],"related_works":["https://openalex.org/W2573021234","https://openalex.org/W2106610492","https://openalex.org/W2023923962","https://openalex.org/W1758121264","https://openalex.org/W2383355899","https://openalex.org/W1501940787","https://openalex.org/W1524119935","https://openalex.org/W3011358647","https://openalex.org/W2161759000","https://openalex.org/W2829221153"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-14T07:06:38.338062","created_date":"2025-10-10T00:00:00"}
