{"id":"https://openalex.org/W2020857618","doi":"https://doi.org/10.1137/s0036142902404418","title":"Multilevel First-Order System Least Squares for Elliptic Grid Generation","display_name":"Multilevel First-Order System Least Squares for Elliptic Grid Generation","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2020857618","doi":"https://doi.org/10.1137/s0036142902404418","mag":"2020857618"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142902404418","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142902404418","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/A5065203056","display_name":"Andrea Codd","orcid":"https://orcid.org/0000-0003-3281-2882"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"A. L. Codd","raw_affiliation_strings":["Australian National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Australian National University","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008694561","display_name":"Thomas A. Manteuffel","orcid":"https://orcid.org/0000-0002-8897-4146"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. A. Manteuffel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046048300","display_name":"Stephen F. McCormick","orcid":"https://orcid.org/0000-0002-6327-790X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. F. McCormick","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5047719926","display_name":"J. Ruge","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. W. Ruge","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0259,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.93119142,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"41","issue":"6","first_page":"2210","last_page":"2232"},"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":1.0,"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":1.0,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9986000061035156,"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/mathematics","display_name":"Mathematics","score":0.7208685874938965},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6318612098693848},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.625556468963623},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.623892605304718},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5408935546875},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5285393595695496},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5039524435997009},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.46592944860458374},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4243977665901184},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4194229245185852},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3784499168395996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2521156668663025},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24256762862205505},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2410646378993988},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1357838213443756}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7208685874938965},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6318612098693848},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.625556468963623},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.623892605304718},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5408935546875},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5285393595695496},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5039524435997009},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.46592944860458374},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4243977665901184},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4194229245185852},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3784499168395996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2521156668663025},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24256762862205505},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2410646378993988},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1357838213443756},{"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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":3,"locations":[{"id":"doi:10.1137/s0036142902404418","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142902404418","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"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:573721","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/76847","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/76847","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal of Numerical Analysis","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W62043397","https://openalex.org/W277419578","https://openalex.org/W343607832","https://openalex.org/W584890378","https://openalex.org/W653136046","https://openalex.org/W1492326914","https://openalex.org/W1524015806","https://openalex.org/W1597209545","https://openalex.org/W1674659126","https://openalex.org/W1969600280","https://openalex.org/W1984259961","https://openalex.org/W2073370369","https://openalex.org/W2083739356","https://openalex.org/W2132292023","https://openalex.org/W2134496919","https://openalex.org/W2168839595","https://openalex.org/W2178950849","https://openalex.org/W2365029215","https://openalex.org/W3021722416","https://openalex.org/W3111897257","https://openalex.org/W3147034027","https://openalex.org/W3196290810","https://openalex.org/W4230108662","https://openalex.org/W4232499108","https://openalex.org/W4243738351","https://openalex.org/W4252104256","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W2349420447","https://openalex.org/W2058418735","https://openalex.org/W2123845946","https://openalex.org/W2966513463"],"abstract_inverted_index":{"A":[0],"new":[1],"fully":[2],"variational":[3],"approach":[4,77],"is":[5,13,78],"studied":[6],"for":[7,89],"elliptic":[8],"grid":[9],"generation":[10],"(EGG).":[11],"It":[12],"based":[14],"on":[15],"a":[16,21],"general":[17],"algorithm":[18],"developed":[19],"in":[20],"companion":[22,103],"paper":[23,97],"[A.":[24],"L.":[25],"Codd,":[26],"T.":[27],"A.":[28],"Manteuffel,":[29],"and":[30,61,66,105],"S.":[31],"F.":[32],"McCormick,":[33],"SIAM":[34],"J.":[35],"Numer.":[36],"Anal.,":[37],"41":[38],"(2003),":[39],"pp.":[40],"2197--2209]":[41],"that":[42],"involves":[43],"using":[44,92],"Newton's":[45],"method":[46],"to":[47,59,70,83],"linearize":[48],"an":[49,85],"appropriate":[50],"equivalent":[51],"first-order":[52,54],"system,":[53],"system":[55],"least":[56],"squares":[57],"(FOSLS)":[58],"formulate":[60],"discretize":[62],"the":[63,72,99,102,107,111],"Newton":[64],"step,":[65],"algebraic":[67],"multigrid":[68],"(AMG)":[69],"solve":[71],"resulting":[73],"matrix":[74],"equation.":[75],"The":[76,95],"coupled":[79],"with":[80,113],"nested":[81],"iteration":[82],"provide":[84],"accurate":[86],"initial":[87],"guess":[88],"finer":[90],"levels":[91],"coarse-level":[93],"computation.":[94],"present":[96],"verifies":[98],"assumptions":[100],"of":[101,110],"work":[104],"confirms":[106],"overall":[108],"efficiency":[109],"scheme":[112],"numerical":[114],"experiments.":[115]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
