{"id":"https://openalex.org/W2009860245","doi":"https://doi.org/10.1137/s1064827502407706","title":"An Improved Algebraic Multigrid Method for Solving Maxwell's Equations","display_name":"An Improved Algebraic Multigrid Method for Solving Maxwell's Equations","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2009860245","doi":"https://doi.org/10.1137/s1064827502407706","mag":"2009860245"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827502407706","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827502407706","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/A5022276974","display_name":"Pavel Bochev","orcid":"https://orcid.org/0000-0002-8721-7119"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pavel B. Bochev","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108192133","display_name":"Christopher J. Garasi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christopher J. Garasi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068240020","display_name":"Jonathan Joseph Hu","orcid":"https://orcid.org/0000-0003-4636-3619"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jonathan J. Hu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002682347","display_name":"Allen C. Robinson","orcid":"https://orcid.org/0000-0001-7345-5223"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Allen C. Robinson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5062588720","display_name":"Raymond S. Tuminaro","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Raymond S. Tuminaro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.4224,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.9925189,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"2","first_page":"623","last_page":"642"},"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":0.9998000264167786,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987999796867371,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.8718055486679077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8001497983932495},{"id":"https://openalex.org/keywords/nabla-symbol","display_name":"Nabla symbol","score":0.6274355053901672},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6117763519287109},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5718462467193604},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5264652371406555},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47643524408340454},{"id":"https://openalex.org/keywords/transfer-operator","display_name":"Transfer operator","score":0.41617250442504883},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37046003341674805},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34700706601142883},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.21784603595733643},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11905115842819214},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07211673259735107}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8718055486679077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8001497983932495},{"id":"https://openalex.org/C54207081","wikidata":"https://www.wikidata.org/wiki/Q937750","display_name":"Nabla symbol","level":3,"score":0.6274355053901672},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6117763519287109},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5718462467193604},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5264652371406555},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47643524408340454},{"id":"https://openalex.org/C2777952282","wikidata":"https://www.wikidata.org/wiki/Q3354606","display_name":"Transfer operator","level":2,"score":0.41617250442504883},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37046003341674805},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34700706601142883},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.21784603595733643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11905115842819214},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07211673259735107},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827502407706","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827502407706","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:10.1.1.226.1604","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.226.1604","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.sandia.gov/%7Epbboche/papers_pdf/2004SISC.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1530872699","https://openalex.org/W1985506636","https://openalex.org/W1987531163","https://openalex.org/W1994183034","https://openalex.org/W1997542937","https://openalex.org/W2006895912","https://openalex.org/W2053486661","https://openalex.org/W2059679865","https://openalex.org/W2075117777","https://openalex.org/W2075896209","https://openalex.org/W2142304406","https://openalex.org/W2156779443","https://openalex.org/W2199169705","https://openalex.org/W2243781021","https://openalex.org/W2599316927","https://openalex.org/W4206477975","https://openalex.org/W4230055019"],"related_works":["https://openalex.org/W2229925025","https://openalex.org/W1539596337","https://openalex.org/W33469805","https://openalex.org/W2014327818","https://openalex.org/W2377164732","https://openalex.org/W2023923962","https://openalex.org/W2493281735","https://openalex.org/W3033387009","https://openalex.org/W78997912","https://openalex.org/W2086637492"],"abstract_inverted_index":{"We":[0,66,87],"propose":[1],"two":[2,89],"improvements":[3,90],"to":[4,19,30,57,76,91,137],"the":[5,15,26,36,62,69,77,83,98,121,139,148],"Reitzinger":[6],"and":[7],"Sch\u00f6berl":[8],"algebraic":[9],"multigrid":[10,64,111],"(AMG)":[11],"method":[12,28,72,151],"for":[13],"solving":[14],"eddy":[16],"current":[17],"approximations":[18],"Maxwell's":[20],"equations.":[21],"The":[22,114,126],"main":[23],"focus":[24],"in":[25],"Reitzinger/Sch\u00f6berl":[27,70,122],"is":[29,117,129],"maintain":[31,97],"null":[32,48,100],"space":[33,49,101],"properties":[34,50,102],"of":[35,61,82],"weak":[37],"$\\nabla":[38],"\\times":[39],"\\nabla":[40],"\\times$":[41],"operator":[42,159],"on":[43,103,119],"coarse":[44,104],"grids.":[45],"While":[46,144],"these":[47,92],"are":[51,54],"critical,":[52],"they":[53],"not":[55,95,145],"enough":[56],"guarantee":[58],"h-independent":[59],"convergence":[60,112,154],"overall":[63],"method.":[65],"illustrate":[67],"how":[68],"AMG":[71,141],"loses":[73],"h-independence":[74],"due":[75],"somewhat":[78],"limited":[79],"approximation":[80],"property":[81],"grid":[84,123],"transfer":[85,124],"operators.":[86,125,143],"present":[88],"operators":[93],"that":[94],"only":[96],"important":[99],"grids":[105],"but":[106],"also":[107],"yield":[108],"significantly":[109],"improved":[110,153],"rates.":[113],"first":[115],"improvement":[116,128],"based":[118],"smoothing":[120],"second":[127],"obtained":[130],"by":[131],"using":[132],"higher":[133],"order":[134],"nodal":[135],"interpolation":[136,142],"derive":[138],"corresponding":[140],"completely":[146],"h-independent,":[147],"resulting":[149],"AMG/CG":[150],"demonstrates":[152],"behavior":[155],"while":[156],"maintaining":[157],"low":[158],"complexity.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
