{"id":"https://openalex.org/W2095046249","doi":"https://doi.org/10.1155/1993/850826","title":"Development of Generic Field Classes for Finite Element and Finite Difference Problems","display_name":"Development of Generic Field Classes for Finite Element and Finite Difference Problems","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2095046249","doi":"https://doi.org/10.1155/1993/850826","mag":"2095046249"},"language":"en","primary_location":{"id":"doi:10.1155/1993/850826","is_oa":true,"landing_page_url":"https://doi.org/10.1155/1993/850826","pdf_url":"https://downloads.hindawi.com/journals/sp/1993/850826.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/sp/1993/850826.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014538042","display_name":"Diane A. Verner","orcid":null},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Diane A. Verner","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, Mexico","Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, Mexico","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046941342","display_name":"Gregory L. Heileman","orcid":"https://orcid.org/0000-0002-5221-5682"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gregory L. Heileman","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, Mexico","Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, Mexico","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080251905","display_name":"K.G. Budge","orcid":null},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210138427","display_name":"Computational Physics (United States)","ror":"https://ror.org/03grsxg62","country_code":"US","type":"company","lineage":["https://openalex.org/I4210138427"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kent G. Budge","raw_affiliation_strings":["Computational Physics Research and Development (1431), Sandia National Laboratories, Albuquerque, NM 87185-5800, Mexico","Computational Physics Research and Development (1431), Sandia National Laboratories, Albuquerque, NM 87185-5800#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Physics Research and Development (1431), Sandia National Laboratories, Albuquerque, NM 87185-5800, Mexico","institution_ids":["https://openalex.org/I4210104735","https://openalex.org/I4210138427"]},{"raw_affiliation_string":"Computational Physics Research and Development (1431), Sandia National Laboratories, Albuquerque, NM 87185-5800#TAB#","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002682347","display_name":"Allen C. Robinson","orcid":"https://orcid.org/0000-0001-7345-5223"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210138427","display_name":"Computational Physics (United States)","ror":"https://ror.org/03grsxg62","country_code":"US","type":"company","lineage":["https://openalex.org/I4210138427"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Allen C. Robinson","raw_affiliation_strings":["Computational Physics Research and Development (1431), Sandia National Laboratories, Albuquerque, NM 87185-5800, Mexico","Computational Physics Research and Development (1431), Sandia National Laboratories, Albuquerque, NM 87185-5800#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Physics Research and Development (1431), Sandia National Laboratories, Albuquerque, NM 87185-5800, Mexico","institution_ids":["https://openalex.org/I4210104735","https://openalex.org/I4210138427"]},{"raw_affiliation_string":"Computational Physics Research and Development (1431), Sandia National Laboratories, Albuquerque, NM 87185-5800#TAB#","institution_ids":["https://openalex.org/I192454743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014538042"],"corresponding_institution_ids":["https://openalex.org/I169521973"],"apc_list":{"value":1800,"currency":"USD","value_usd":1800},"apc_paid":{"value":1800,"currency":"USD","value_usd":1800},"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.2325763,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"4","first_page":"227","last_page":"234"},"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":0.9498000144958496,"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":0.9498000144958496,"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/finite-element-method","display_name":"Finite element method","score":0.6713513135910034},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6000636219978333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4774635136127472},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.46638086438179016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4406309723854065},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.285981684923172},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19180813431739807},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.12691867351531982},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12372034788131714}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6713513135910034},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6000636219978333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4774635136127472},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.46638086438179016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4406309723854065},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.285981684923172},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19180813431739807},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.12691867351531982},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12372034788131714}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/1993/850826","is_oa":true,"landing_page_url":"https://doi.org/10.1155/1993/850826","pdf_url":"https://downloads.hindawi.com/journals/sp/1993/850826.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Programming","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a45c4695c39d46e8895ff886b3afb626","is_oa":false,"landing_page_url":"https://doaj.org/article/a45c4695c39d46e8895ff886b3afb626","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scientific Programming, Vol 2, Iss 4, Pp 227-234 (1993)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/1993/850826","is_oa":true,"landing_page_url":"https://doi.org/10.1155/1993/850826","pdf_url":"https://downloads.hindawi.com/journals/sp/1993/850826.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1275238458","display_name":null,"funder_award_id":"DE-AC04-76DP00789","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G5570696538","display_name":null,"funder_award_id":"DE-AC04-76DP00789","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W10589072","https://openalex.org/W38316647","https://openalex.org/W633990882","https://openalex.org/W1523318068","https://openalex.org/W1868410565","https://openalex.org/W1967810725","https://openalex.org/W2033214895","https://openalex.org/W2046124011","https://openalex.org/W2149185259","https://openalex.org/W2437273925","https://openalex.org/W2972167349"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"This":[0,124],"article":[1],"considers":[2],"the":[3,14,20,56,86,158],"development":[4],"of":[5,16,22,58,76,103,111,120,128,160],"a":[6,101,126,147,171],"reusable":[7],"object\u2010oriented":[8,67,112],"array":[9,33],"library,":[10,157],"as":[11,13],"well":[12],"use":[15,110,119],"this":[17,32,59,156],"library":[18,34,60],"in":[19,31,139],"construction":[21],"finite":[23,26,48,51,82,91],"difference":[24,49,83],"and":[25,50,105,133],"element":[27,52,92],"codes.":[28],"The":[29,109],"classes":[30,45],"are":[35],"also":[36],"generic":[37],"enough":[38],"to":[39,42,47,117,131,170],"be":[40,144],"used":[41],"construct":[43],"other":[44,87],"specific":[46],"methods.":[53,93],"We":[54],"demonstrate":[55],"usefulness":[57],"by":[61,151],"inserting":[62],"it":[63],"into":[64],"two":[65],"existing":[66],"scientific":[68,141],"codes":[69,78,96,116,162],"developed":[70],"at":[71],"Sandia":[72],"National":[73],"Laboratories.":[74],"One":[75],"these":[77,95],"is":[79,88],"based":[80,89],"on":[81,90,146,163],"methods,":[84],"whereas":[85],"Previously,":[94],"were":[97],"separately":[98],"maintained":[99],"across":[100],"variety":[102],"sequential":[104],"parallel":[106],"computing":[107],"platforms.":[108],"programming":[113],"allows":[114],"both":[115,161],"make":[118],"common":[121],"base":[122],"classes.":[123],"offers":[125],"number":[127],"advantages":[129],"related":[130],"optimization":[132,159],"portability.":[134],"Optimization":[135],"efforts,":[136],"particularly":[137],"important":[138],"large":[140],"codes,":[142],"can":[143],"focused":[145],"single":[148,172],"library.":[149,173],"Furthermore,":[150],"encapsulating":[152],"machine":[153],"dependencies":[154],"within":[155],"different":[164],"architec\u2010tures":[165],"will":[166],"only":[167],"involve":[168],"modification":[169]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}