{"id":"https://openalex.org/W2196919652","doi":"https://doi.org/10.25080/majora-54c7f2c8-00c","title":"OpenMG: A New Multigrid Implementation in Python","display_name":"OpenMG: A New Multigrid Implementation in Python","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2196919652","doi":"https://doi.org/10.25080/majora-54c7f2c8-00c","mag":"2196919652"},"language":"en","primary_location":{"id":"doi:10.25080/majora-54c7f2c8-00c","is_oa":true,"landing_page_url":"https://doi.org/10.25080/majora-54c7f2c8-00c","pdf_url":"http://conference.scipy.org/proceedings/scipy2012/pdfs/tom_bertalan.pdf","source":{"id":"https://openalex.org/S4220651651","display_name":"Proceedings of the Python in Science Conferences","issn_l":"2575-9752","issn":["2575-9752"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Python in Science Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://conference.scipy.org/proceedings/scipy2012/pdfs/tom_bertalan.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039208101","display_name":"Tom Bertalan","orcid":"https://orcid.org/0000-0002-8076-9148"},"institutions":[{"id":"https://openalex.org/I17301866","display_name":"University of Alabama","ror":"https://ror.org/03xrrjk67","country_code":"US","type":"education","lineage":["https://openalex.org/I17301866"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tom Bertalan","raw_affiliation_strings":["The University of Alabama, Department of Chemical and Biological Engi-neering"],"affiliations":[{"raw_affiliation_string":"The University of Alabama, Department of Chemical and Biological Engi-neering","institution_ids":["https://openalex.org/I17301866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035952461","display_name":"Akand W. Islam","orcid":"https://orcid.org/0000-0002-2565-0021"},"institutions":[{"id":"https://openalex.org/I17301866","display_name":"University of Alabama","ror":"https://ror.org/03xrrjk67","country_code":"US","type":"education","lineage":["https://openalex.org/I17301866"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Akand Islam","raw_affiliation_strings":["The University of Alabama, Department of Chemical and Biological Engi-neering"],"affiliations":[{"raw_affiliation_string":"The University of Alabama, Department of Chemical and Biological Engi-neering","institution_ids":["https://openalex.org/I17301866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052023580","display_name":"Roger B. Sidje","orcid":"https://orcid.org/0000-0001-5353-3642"},"institutions":[{"id":"https://openalex.org/I17301866","display_name":"University of Alabama","ror":"https://ror.org/03xrrjk67","country_code":"US","type":"education","lineage":["https://openalex.org/I17301866"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roger Sidje","raw_affiliation_strings":["The University of Alabama, Department of Mathematics"],"affiliations":[{"raw_affiliation_string":"The University of Alabama, Department of Mathematics","institution_ids":["https://openalex.org/I17301866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111625141","display_name":"Eric S. Carlson","orcid":null},"institutions":[{"id":"https://openalex.org/I17301866","display_name":"University of Alabama","ror":"https://ror.org/03xrrjk67","country_code":"US","type":"education","lineage":["https://openalex.org/I17301866"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Carlson","raw_affiliation_strings":["The University of Alabama, Department of Chemical and Biological Engi-neering"],"affiliations":[{"raw_affiliation_string":"The University of Alabama, Department of Chemical and Biological Engi-neering","institution_ids":["https://openalex.org/I17301866"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5039208101"],"corresponding_institution_ids":["https://openalex.org/I17301866"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2175868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"69","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T13650","display_name":"Computational Physics and Python Applications","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10491","display_name":"Enhanced Oil Recovery Techniques","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/multigrid-method","display_name":"Multigrid method","score":0.8537920713424683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7954316139221191},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7891671657562256},{"id":"https://openalex.org/keywords/python","display_name":"Python (programming language)","score":0.7581050395965576},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5808627009391785},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.49557650089263916},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.46744048595428467},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.33854979276657104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3308616876602173},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.18284562230110168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15171360969543457}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8537920713424683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7954316139221191},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7891671657562256},{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.7581050395965576},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5808627009391785},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.49557650089263916},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.46744048595428467},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.33854979276657104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3308616876602173},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18284562230110168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15171360969543457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.25080/majora-54c7f2c8-00c","is_oa":true,"landing_page_url":"https://doi.org/10.25080/majora-54c7f2c8-00c","pdf_url":"http://conference.scipy.org/proceedings/scipy2012/pdfs/tom_bertalan.pdf","source":{"id":"https://openalex.org/S4220651651","display_name":"Proceedings of the Python in Science Conferences","issn_l":"2575-9752","issn":["2575-9752"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Python in Science Conference","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.25080/majora-54c7f2c8-00c","is_oa":true,"landing_page_url":"https://doi.org/10.25080/majora-54c7f2c8-00c","pdf_url":"http://conference.scipy.org/proceedings/scipy2012/pdfs/tom_bertalan.pdf","source":{"id":"https://openalex.org/S4220651651","display_name":"Proceedings of the Python in Science Conferences","issn_l":"2575-9752","issn":["2575-9752"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Python in Science Conference","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2196919652.pdf","grobid_xml":"https://content.openalex.org/works/W2196919652.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1572639095","https://openalex.org/W1611827993","https://openalex.org/W1969008181","https://openalex.org/W1977553864","https://openalex.org/W1986414304","https://openalex.org/W1991951822","https://openalex.org/W2040482219","https://openalex.org/W2041424410","https://openalex.org/W2046848016","https://openalex.org/W2059427607","https://openalex.org/W2061876683","https://openalex.org/W2066531315","https://openalex.org/W2084943008","https://openalex.org/W2127981460","https://openalex.org/W2138525933","https://openalex.org/W2151317657","https://openalex.org/W2167512083","https://openalex.org/W4247438870"],"related_works":["https://openalex.org/W2573021234","https://openalex.org/W2106610492","https://openalex.org/W2383355899","https://openalex.org/W1501940787","https://openalex.org/W1524119935","https://openalex.org/W2155760131","https://openalex.org/W3011358647","https://openalex.org/W2161759000","https://openalex.org/W2020385488","https://openalex.org/W1604758548"],"abstract_inverted_index":{"In":[0,59],"many":[1],"large-scale":[2],"computations,":[3],"systems":[4,47],"of":[5,35,40,195],"equations":[6],"arise":[7],"in":[8,108],"the":[9,21,26,41,92,153,160,174,182,185,189,193],"form":[10],",":[11,24,30],"where":[12,89],"is":[13,83,115,123,137,206],"a":[14,61,79,116,138,148],"linear":[15],"operation":[16],"to":[17,86,98,125,130],"be":[18,49,56],"performed":[19],"on":[20,208],"unknown":[22],"data":[23],"producing":[25],"known":[27,36],"right-hand":[28],"side,":[29],"which":[31,82],"represents":[32],"some":[33],"constraint":[34],"or":[37,192,200],"assumed":[38],"behavior":[39],"system":[42],"being":[43],"modeled.":[44],"Since":[45],"such":[46],"can":[48,55],"very":[50],"large,":[51],"solving":[52],"them":[53],"directly":[54,72],"too":[57],"slow.":[58],"contrast,":[60],"multigrid":[62,102,113,145],"solver":[63,103,176,205],"solves":[64,71],"partially":[65],"at":[66,74],"full":[67,87],"resolution,":[68,88],"and":[69,127,156,171,188],"then":[70,84],"only":[73,107],"low":[75],"resolution.":[76],"This":[77,95],"creates":[78],"correction":[80],"vector,":[81],"interpolated":[85],"it":[90],"corrects":[91],"partial":[93,175],"solution.":[94],"project":[96],"aims":[97],"create":[99,166],"an":[100,167,209],"open-source":[101],"called":[104],"OpenMG,":[105],"written":[106],"Python.":[109],"The":[110,203],"existing":[111],"PyAMG":[112],"implementation":[114],"highly":[117],"versatile,":[118],"configurable,":[119],"black-box":[120],"solver,":[121,191],"but":[122],"difficult":[124],"read":[126],"modify":[128],"due":[129],"its":[131],"C":[132],"core.":[133],"Our":[134],"proposed":[135],"OpenMG":[136],"pure":[139],"Python":[140],"experimentation":[141,172],"environment":[142],"for":[143,169],"testing":[144],"concepts,":[146],"not":[147],"production":[149],"solver.":[150],"By":[151],"making":[152],"code":[154],"simple":[155],"modular,":[157],"we":[158],"make":[159],"algorithmic":[161],"details":[162],"clear.":[163],"We":[164],"thereby":[165],"opportunity":[168],"education":[170],"with":[173,215],"(Jacobi,":[177],"Gauss":[178],"Seidel,":[179],"SOR,":[180],"etc.),":[181],"restriction":[183],"mechanism,":[184,187],"prolongation":[186],"direct":[190],"use":[194],"GPGPUs,":[196],"multiple":[197],"CPUs,":[198],"MPI,":[199],"grid":[201],"computing.":[202],"resulting":[204],"tested":[207],"implicit":[210],"pressure":[211],"reservoir":[212],"simulation":[213],"problem":[214],"satisfactory":[216],"results.":[217]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}