{"id":"https://openalex.org/W2089302194","doi":"https://doi.org/10.1137/s0036142900363377","title":"Simulation of the Solution of a Viscous Porous Medium Equation by a Particle Method","display_name":"Simulation of the Solution of a Viscous Porous Medium Equation by a Particle Method","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2089302194","doi":"https://doi.org/10.1137/s0036142900363377","mag":"2089302194"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142900363377","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900363377","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5004562789","display_name":"Karl Oelschl\u00e4ger","orcid":null},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Karl Oelschl\u00e4ger","raw_affiliation_strings":["Heidelberg University"],"affiliations":[{"raw_affiliation_string":"Heidelberg University","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004562789"],"corresponding_institution_ids":["https://openalex.org/I223822909"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.16790694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"5","first_page":"1716","last_page":"1762"},"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":0.9970999956130981,"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":0.9970999956130981,"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":0.9950000047683716,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9929999709129333,"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/smoothed-particle-hydrodynamics","display_name":"Smoothed-particle hydrodynamics","score":0.7450371384620667},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.7336766123771667},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6736721396446228},{"id":"https://openalex.org/keywords/particle-method","display_name":"Particle method","score":0.659859299659729},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.6488807797431946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6481739282608032},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.4617012143135071},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45449769496917725},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.4107498228549957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3761286735534668},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34881800413131714},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.32056450843811035},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16060426831245422},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09720703959465027},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.09340506792068481},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09258800745010376}],"concepts":[{"id":"https://openalex.org/C122564879","wikidata":"https://www.wikidata.org/wiki/Q733073","display_name":"Smoothed-particle hydrodynamics","level":2,"score":0.7450371384620667},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.7336766123771667},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6736721396446228},{"id":"https://openalex.org/C2987747430","wikidata":"https://www.wikidata.org/wiki/Q24898874","display_name":"Particle method","level":3,"score":0.659859299659729},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.6488807797431946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6481739282608032},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.4617012143135071},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45449769496917725},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4107498228549957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3761286735534668},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34881800413131714},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32056450843811035},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16060426831245422},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09720703959465027},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.09340506792068481},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09258800745010376},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142900363377","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900363377","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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":19,"referenced_works":["https://openalex.org/W22526216","https://openalex.org/W1237574533","https://openalex.org/W1483246486","https://openalex.org/W1580561995","https://openalex.org/W1656529761","https://openalex.org/W1974969839","https://openalex.org/W1977843797","https://openalex.org/W2003104181","https://openalex.org/W2015737153","https://openalex.org/W2017992740","https://openalex.org/W2031487944","https://openalex.org/W2046020177","https://openalex.org/W2048743591","https://openalex.org/W2052051477","https://openalex.org/W2064852638","https://openalex.org/W2320602428","https://openalex.org/W3048087219","https://openalex.org/W4244396353","https://openalex.org/W4292198165"],"related_works":["https://openalex.org/W1974871272","https://openalex.org/W2170596275","https://openalex.org/W2375224329","https://openalex.org/W1995497923","https://openalex.org/W2366634058","https://openalex.org/W1962599569","https://openalex.org/W2023788160","https://openalex.org/W2205856014","https://openalex.org/W2068741427","https://openalex.org/W2582536417"],"abstract_inverted_index":{"To":[0],"solve":[1],"a":[2,8,15,35,38,44],"particular":[3],"partial":[4],"differential":[5],"equation,":[6,12],"namely":[7],"viscous":[9],"porous":[10],"medium":[11],"we":[13],"discuss":[14],"particle":[16,40],"method,":[17],"which":[18],"is":[19,49],"based":[20],"on":[21,55],"the":[22,56],"concept":[23],"of":[24,37,53],"moderately":[25],"interacting":[26],"many-particle":[27],"systems.":[28],"Our":[29],"approach":[30],"may":[31],"be":[32],"classified":[33],"as":[34],"combination":[36],"smoothed":[39],"hydrodynamics":[41],"method":[42],"and":[43],"particle-mesh":[45],"method.":[46],"Quantitatively,":[47],"it":[48],"assessed":[50],"in":[51],"terms":[52],"estimates":[54],"approximation":[57],"error.":[58]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}