{"id":"https://openalex.org/W2003294407","doi":"https://doi.org/10.1137/s1064827500370202","title":"Multidimensional Least Squares Fluctuation Distribution Schemes with Adaptive Mesh Movement for Steady Hyperbolic Equations","display_name":"Multidimensional Least Squares Fluctuation Distribution Schemes with Adaptive Mesh Movement for Steady Hyperbolic Equations","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2003294407","doi":"https://doi.org/10.1137/s1064827500370202","mag":"2003294407"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827500370202","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500370202","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5109954303","display_name":"M. J. Baines","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. J. Baines","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109999011","display_name":"Stephen J. Leary","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. J. Leary","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5023976539","display_name":"M.E. Hubbard","orcid":"https://orcid.org/0000-0001-7471-1815"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. E. Hubbard","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109954303"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9002,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.72578137,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"5","first_page":"1485","last_page":"1502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9965000152587891,"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/mathematics","display_name":"Mathematics","score":0.740416407585144},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5643355250358582},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.5305179953575134},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.5079255700111389},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5066021680831909},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.49602755904197693},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48103219270706177},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.47291240096092224},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.4386715292930603},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.41520702838897705},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38813507556915283},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20880591869354248},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13468363881111145}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.740416407585144},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5643355250358582},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5305179953575134},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.5079255700111389},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5066021680831909},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.49602755904197693},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48103219270706177},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.47291240096092224},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.4386715292930603},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.41520702838897705},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38813507556915283},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20880591869354248},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13468363881111145},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","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":2,"locations":[{"id":"doi:10.1137/s1064827500370202","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500370202","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:centaur.reading.ac.uk:117962","is_oa":false,"landing_page_url":"https://centaur.reading.ac.uk/117962/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402273","display_name":"CentAUR (University of Reading)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71052956","host_organization_name":"University of Reading","host_organization_lineage":["https://openalex.org/I71052956"],"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":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W133530935","https://openalex.org/W156555484","https://openalex.org/W1623915121","https://openalex.org/W2021144774","https://openalex.org/W2024356719","https://openalex.org/W2055986182","https://openalex.org/W2067290043","https://openalex.org/W2079307704","https://openalex.org/W2143919714","https://openalex.org/W2326053473","https://openalex.org/W2329013247","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1993547033","https://openalex.org/W2034255721","https://openalex.org/W1971220181","https://openalex.org/W3215979663","https://openalex.org/W2020043686","https://openalex.org/W2052620890","https://openalex.org/W2147278394","https://openalex.org/W2382971237","https://openalex.org/W2528714729","https://openalex.org/W2090733834"],"abstract_inverted_index":{"Optimal":[0],"meshes":[1],"and":[2,8,52,103,136,150],"solutions":[3,112],"for":[4,143],"steady":[5],"conservation":[6],"laws":[7],"systems":[9],"within":[10],"a":[11,55,99,104,115,144,151],"finite":[12],"volume":[13],"fluctuation":[14],"distribution":[15],"framework":[16],"are":[17,61,141],"obtained":[18],"by":[19,66,132,157],"least":[20,38,116],"squares":[21,39,117],"methods":[22],"incorporating":[23],"mesh":[24,35],"movement.":[25],"The":[26,59,94],"problem":[27,89,102],"of":[28,45,49,72,85,126],"spurious":[29],"modes":[30],"is":[31,96],"alleviated":[32],"through":[33],"adaptive":[34],"movement,":[36],"the":[37,47,50,73,83,88,92,124,138,158],"minimization":[40],"giving":[41],"an":[42,79],"obvious":[43],"way":[44],"determining":[46],"movement":[48],"nodes":[51],"also":[53],"providing":[54],"link":[56],"with":[57],"equidistribution.":[58],"iterations":[60],"carried":[62],"out":[63],"locally":[64],"node":[65],"node,":[67],"which":[68,81,121],"yields":[69],"good":[70],"control":[71],"moving":[74,137],"mesh.":[75],"For":[76,110],"scalar":[77,100],"equations":[78],"iteration":[80],"respects":[82],"flow":[84,108,149,153],"information":[86],"in":[87,154],"significantly":[90],"accelerates":[91],"convergence.":[93],"method":[95],"demonstrated":[97],"on":[98],"advection":[101],"shallow":[105,146],"water":[106,147],"channel":[107,148],"problem.":[109],"discontinuous":[111,145],"we":[113],"introduce":[114],"shock":[118],"fitting":[119],"approach":[120],"greatly":[122],"improves":[123],"treatment":[125],"discontinuities":[127],"at":[128],"little":[129],"extra":[130],"expense":[131],"using":[133],"degenerate":[134],"triangles":[135],"nodes.":[139],"Examples":[140],"shown":[142],"shocked":[152],"gasdynamics":[155],"governed":[156],"compressible":[159],"Euler":[160],"equations.":[161]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"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"}
