{"id":"https://openalex.org/W3132857137","doi":"https://doi.org/10.1007/s10915-021-01414-1","title":"Stable Dynamical Adaptive Mesh Refinement","display_name":"Stable Dynamical Adaptive Mesh Refinement","publication_year":2021,"publication_date":"2021-02-13","ids":{"openalex":"https://openalex.org/W3132857137","doi":"https://doi.org/10.1007/s10915-021-01414-1","mag":"3132857137"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01414-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-021-01414-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-021-01414-1.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/s10915-021-01414-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022915711","display_name":"Tomas Lundquist","orcid":"https://orcid.org/0000-0002-5177-1214"},"institutions":[{"id":"https://openalex.org/I157614274","display_name":"University of Cape Town","ror":"https://ror.org/03p74gp79","country_code":"ZA","type":"education","lineage":["https://openalex.org/I157614274"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Tomas Lundquist","raw_affiliation_strings":["Industrial CFD Research Group, Department of Mechanical Engineering, University of Cape Town, Cape Town, South Africa"],"affiliations":[{"raw_affiliation_string":"Industrial CFD Research Group, Department of Mechanical Engineering, University of Cape Town, Cape Town, South Africa","institution_ids":["https://openalex.org/I157614274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057106073","display_name":"Jan Nordstr\u00f6m","orcid":"https://orcid.org/0000-0002-7972-6183"},"institutions":[{"id":"https://openalex.org/I24027795","display_name":"University of Johannesburg","ror":"https://ror.org/04z6c2n17","country_code":"ZA","type":"education","lineage":["https://openalex.org/I24027795"]},{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE","ZA"],"is_corresponding":true,"raw_author_name":"Jan Nordstr\u00f6m","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park, 2006, South Africa","Department of Mathematics, Computational Mathematics, Link\u00f6ping University, 581 83, Link\u00f6ping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park, 2006, South Africa","institution_ids":["https://openalex.org/I24027795"]},{"raw_affiliation_string":"Department of Mathematics, Computational Mathematics, Link\u00f6ping University, 581 83, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006873680","display_name":"Arnaud G. Malan","orcid":"https://orcid.org/0000-0002-7460-6625"},"institutions":[{"id":"https://openalex.org/I157614274","display_name":"University of Cape Town","ror":"https://ror.org/03p74gp79","country_code":"ZA","type":"education","lineage":["https://openalex.org/I157614274"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Arnaud Malan","raw_affiliation_strings":["Industrial CFD Research Group, Department of Mechanical Engineering, University of Cape Town, Cape Town, South Africa"],"affiliations":[{"raw_affiliation_string":"Industrial CFD Research Group, Department of Mechanical Engineering, University of Cape Town, Cape Town, South Africa","institution_ids":["https://openalex.org/I157614274"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057106073"],"corresponding_institution_ids":["https://openalex.org/I102134673","https://openalex.org/I24027795"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.3538,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.52067039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"86","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9990000128746033,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/polygon-mesh","display_name":"Polygon mesh","score":0.8417892456054688},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7895978689193726},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7744349837303162},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.7194662094116211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6688270568847656},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5389218330383301},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5147188305854797},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.47497934103012085},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4217143952846527},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38623204827308655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29417479038238525},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.2699587345123291},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17586255073547363},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1675020158290863}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8417892456054688},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7895978689193726},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7744349837303162},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.7194662094116211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6688270568847656},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5389218330383301},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5147188305854797},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.47497934103012085},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4217143952846527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38623204827308655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29417479038238525},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.2699587345123291},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17586255073547363},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1675020158290863},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-021-01414-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-021-01414-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-021-01414-1.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:DiVA.org:liu-173320","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-173320","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"","raw_type":"Article in journal"}],"best_oa_location":{"id":"doi:10.1007/s10915-021-01414-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-021-01414-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-021-01414-1.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3814625421","display_name":null,"funder_award_id":"2018-05084","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G429956873","display_name":null,"funder_award_id":"2018-05084_VR","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G6519169122","display_name":null,"funder_award_id":"2018-0508_VR","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G712881263","display_name":null,"funder_award_id":"2018-","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G7228997265","display_name":null,"funder_award_id":"Vetenskapsr\u00e5","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322225","display_name":"Link\u00f6pings Universitet","ror":"https://ror.org/05ynxx418"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3132857137.pdf","grobid_xml":"https://content.openalex.org/works/W3132857137.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W50353483","https://openalex.org/W87324914","https://openalex.org/W96454744","https://openalex.org/W173831847","https://openalex.org/W303937333","https://openalex.org/W1972670182","https://openalex.org/W1975059575","https://openalex.org/W1985629301","https://openalex.org/W2007169649","https://openalex.org/W2014367637","https://openalex.org/W2025483160","https://openalex.org/W2049068370","https://openalex.org/W2065978762","https://openalex.org/W2077047259","https://openalex.org/W2087131616","https://openalex.org/W2090533703","https://openalex.org/W2118065331","https://openalex.org/W2169457978","https://openalex.org/W2237303270","https://openalex.org/W2592277728","https://openalex.org/W2750520431","https://openalex.org/W2753944674","https://openalex.org/W2769562095","https://openalex.org/W2788355916","https://openalex.org/W2792213981","https://openalex.org/W2963515654","https://openalex.org/W2966767209","https://openalex.org/W3000339403","https://openalex.org/W4292169137","https://openalex.org/W4382891143"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W3215979663","https://openalex.org/W3114093281","https://openalex.org/W4295736060","https://openalex.org/W4220931593","https://openalex.org/W2020043686","https://openalex.org/W2147278394","https://openalex.org/W2989780569","https://openalex.org/W2466288331","https://openalex.org/W2145321474"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"accurate":[3],"and":[4,37,53],"stable":[5,69],"interpolation":[6,17,75],"procedures":[7],"for":[8,50],"numerical":[9,19,61],"simulations":[10],"utilizing":[11],"time":[12],"dependent":[13],"adaptive":[14],"meshes.":[15],"The":[16,56],"of":[18,66],"solution":[20],"values":[21],"between":[22],"meshes":[23],"is":[24,46,58],"considered":[25],"as":[26],"a":[27,38],"transmission":[28],"problem":[29],"with":[30,60,83],"respect":[31],"to":[32,80],"the":[33,67],"underlying":[34],"semi-discretized":[35],"equations,":[36],"theoretical":[39],"framework":[40],"using":[41],"inner":[42],"product":[43],"preserving":[44],"operators":[45,76],"developed,":[47],"which":[48],"allows":[49],"both":[51],"explicit":[52],"implicit":[54],"implementations.":[55],"theory":[57],"supplemented":[59],"experiments":[62],"demonstrating":[63],"practical":[64],"benefits":[65],"new":[68,74],"framework.":[70],"For":[71],"this":[72],"purpose,":[73],"have":[77],"been":[78],"designed":[79],"be":[81],"used":[82],"multi-block":[84],"finite":[85],"difference":[86],"schemes":[87],"involving":[88],"non-collocated,":[89],"moving":[90],"interfaces.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
