{"id":"https://openalex.org/W1983450111","doi":"https://doi.org/10.1137/s1064827597292917","title":"An Algorithm for Assembling Overlapping Grid Systems","display_name":"An Algorithm for Assembling Overlapping Grid Systems","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1983450111","doi":"https://doi.org/10.1137/s1064827597292917","mag":"1983450111"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827597292917","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597292917","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/A5008289430","display_name":"N. Anders Petersson","orcid":"https://orcid.org/0000-0003-0522-7872"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"N. Anders Petersson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5008289430"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6122,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.87689732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"20","issue":"6","first_page":"1995","last_page":"2022"},"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":0.9984999895095825,"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":0.9984999895095825,"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":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9966999888420105,"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/grid","display_name":"Grid","score":0.7826571464538574},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7672933340072632},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7516605854034424},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.67766273021698},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6607895493507385},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5615376830101013},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.516567587852478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49890589714050293},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.45587533712387085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45199376344680786},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3251611590385437},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2615334987640381},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.18364807963371277},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1195429265499115},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08037394285202026}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7826571464538574},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7672933340072632},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7516605854034424},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.67766273021698},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6607895493507385},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5615376830101013},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.516567587852478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49890589714050293},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.45587533712387085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45199376344680786},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3251611590385437},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2615334987640381},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.18364807963371277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1195429265499115},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08037394285202026},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827597292917","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597292917","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:CiteSeerX.psu:10.1.1.540.9735","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.540.9735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://computation.llnl.gov/casc/Overture/henshaw/publications/PeterssonAlgorithm.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1607071030","https://openalex.org/W1980572192","https://openalex.org/W1982986358","https://openalex.org/W2001415423","https://openalex.org/W2019446999","https://openalex.org/W2053765944","https://openalex.org/W2065932192","https://openalex.org/W2157805961","https://openalex.org/W2320284902","https://openalex.org/W4242246215"],"related_works":["https://openalex.org/W3177778786","https://openalex.org/W4365803743","https://openalex.org/W2296821755","https://openalex.org/W2374622938","https://openalex.org/W1993270364","https://openalex.org/W3213781166","https://openalex.org/W2788230983","https://openalex.org/W2136492660","https://openalex.org/W2505262665","https://openalex.org/W1983450111"],"abstract_inverted_index":{"A":[0],"general":[1],"purpose":[2],"algorithm":[3,133,159],"for":[4,9,41,140,221],"assembling":[5],"overlapping":[6,104,123,138],"grid":[7,82,124,139,173,185],"systems":[8],"solving":[10],"partial":[11],"differential":[12],"equations":[13],"(PDEs)":[14],"is":[15,112,213,227,238],"described.":[16],"The":[17,34,74,89,132,216],"method":[18],"combines":[19],"and":[20,32,147,225],"improves":[21],"on":[22,63],"the":[23,27,42,46,56,59,64,67,86,96,99,103,107,110,130,158,166,168,172,180,188,195,199,203,222,230],"techniques":[24],"implemented":[25,40],"in":[26,45,70,102,144,233],"codes":[28],"Beggar,":[29],"CMPGRD,":[30],"DCF3D,":[31],"PEGSUS.":[33],"present":[35],"algorithm,":[36],"which":[37,212],"has":[38],"been":[39],"two-dimensional":[43],"case":[44],"code":[47,181],"Xcog,":[48],"starts":[49],"by":[50,208,241],"calculating":[51],"a":[52,209,234],"global":[53,75],"definition":[54],"of":[55,58,66,85,98,171,194],"boundary":[57,76,200,223,236],"computational":[60,87],"domain":[61],"based":[62],"location":[65],"physical":[68],"boundaries":[69],"all":[71,81,115],"component":[72,100],"grids.":[73],"description":[77],"isused":[78],"to":[79,95,128,150,152,162,182,187,190],"identify":[80],"points":[83,91,117,186],"outside":[84],"domain.":[88],"remaining":[90,116],"are":[92,206,219],"classified":[93],"according":[94],"priority":[97],"grids":[101,204],"grid.":[105],"If":[106,157],"overlap":[108,164,205],"between":[109,165,198],"components":[111],"sufficiently":[113],"large,":[114],"can":[118,134],"either":[119],"interpolate":[120],"from":[121],"an":[122,137,192],"or":[125],"be":[126,176],"used":[127],"discretize":[129],"PDE.":[131],"therefore":[135],"construct":[136],"implicit":[141],"(coupled)":[142],"interpolation":[143,217,231],"one":[145],"pass":[146],"needs":[148],"only":[149],"iterate":[151],"ensure":[153],"explicit":[154],"(decoupled)":[155],"interpolation.":[156],"fails":[160],"due":[161],"insufficient":[163],"components,":[167],"main":[169],"parts":[170],"will":[174],"still":[175],"valid.":[177],"This":[178],"enables":[179],"report":[183],"inconsistent":[184],"user,":[189],"facilitate":[191],"improvement":[193],"input.":[196],"Discrepancies":[197],"representations":[201],"where":[202],"handled":[207],"mismatch":[210],"tolerance,":[211],"estimated":[214],"automatically.":[215],"data":[218],"corrected":[220],"mismatch,":[224],"it":[226],"shown":[228],"how":[229],"error":[232],"thin":[235],"layer":[237],"substantially":[239],"reduced":[240],"this":[242],"correction.":[243]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}