{"id":"https://openalex.org/W2067510987","doi":"https://doi.org/10.1137/s1064827594264545","title":"Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry","display_name":"Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2067510987","doi":"https://doi.org/10.1137/s1064827594264545","mag":"2067510987"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827594264545","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827594264545","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/A5108475070","display_name":"Todd Arobogast","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Todd Arobogast","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089253713","display_name":"Clint Dawson","orcid":"https://orcid.org/0000-0001-7273-0684"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Clint N. Dawson","raw_affiliation_strings":["Aerospace Engineering and Engineering Mechanics"],"affiliations":[{"raw_affiliation_string":"Aerospace Engineering and Engineering Mechanics","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003657813","display_name":"Philip T. Keenan","orcid":"https://orcid.org/0000-0001-9211-4053"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip T. Keenan","raw_affiliation_strings":["University of Texas at Austin#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104561607","display_name":"Mary F. Wheeler","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mary F. Wheeler","raw_affiliation_strings":["Aerospace Engineering and Engineering Mechanics"],"affiliations":[{"raw_affiliation_string":"Aerospace Engineering and Engineering Mechanics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008433865","display_name":"Ivan Yotov","orcid":"https://orcid.org/0000-0002-5318-1090"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ivan Yotov","raw_affiliation_strings":["University of Texas at Austin","Rice University"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Rice University","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5108475070"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.5195,"has_fulltext":false,"cited_by_count":174,"citation_normalized_percentile":{"value":0.98216519,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"19","issue":"2","first_page":"404","last_page":"425"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9973999857902527,"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/finite-element-method","display_name":"Finite element method","score":0.7715039253234863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7691158056259155},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.6859038472175598},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6677463054656982},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6150223612785339},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.48746442794799805},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.47791868448257446},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.44621142745018005},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43987399339675903},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.4196356534957886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40977609157562256},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.32384228706359863},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25925472378730774}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7715039253234863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7691158056259155},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.6859038472175598},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6677463054656982},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6150223612785339},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.48746442794799805},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.47791868448257446},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.44621142745018005},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43987399339675903},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.4196356534957886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40977609157562256},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32384228706359863},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25925472378730774},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827594264545","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827594264545","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W81385328","https://openalex.org/W1538045441","https://openalex.org/W1580192384","https://openalex.org/W1995682074","https://openalex.org/W2007882808","https://openalex.org/W2010194973","https://openalex.org/W2024054122","https://openalex.org/W2032730144","https://openalex.org/W2040933131","https://openalex.org/W2041523977","https://openalex.org/W2051682834","https://openalex.org/W2061172735","https://openalex.org/W2062618977","https://openalex.org/W2074783170","https://openalex.org/W2087401741","https://openalex.org/W2089799405","https://openalex.org/W2100867763","https://openalex.org/W2316418224","https://openalex.org/W2464997744","https://openalex.org/W2491027544","https://openalex.org/W2491537644","https://openalex.org/W2560869919","https://openalex.org/W3149667697","https://openalex.org/W4239299544","https://openalex.org/W4248625248"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W4225381306","https://openalex.org/W2092447180","https://openalex.org/W2953041517","https://openalex.org/W2027750554","https://openalex.org/W2927373829","https://openalex.org/W2098051251","https://openalex.org/W2350239347","https://openalex.org/W4234704706","https://openalex.org/W2073705841"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"expanded":[3],"mixed":[4,84,100,144],"finite":[5,35,88,117],"element":[6,118,122,169],"method":[7,32,68,134,145],"for":[8,58,146],"solving":[9],"second-order":[10],"elliptic":[11],"partial":[12],"differential":[13],"equations":[14],"on":[15,167],"geometrically":[16],"general":[17,70,121],"domains.":[18],"For":[19],"the":[20,31,46,50,82,104,108,125,142,193,198],"lowest-order":[21],"Raviart--Thomas":[22],"approximating":[23],"spaces,":[24],"we":[25,102],"use":[26],"quadrature":[27],"rules":[28],"to":[29,33,52,87,137],"reduce":[30],"cell-centered":[34,175],"differences,":[36],"possibly":[37],"enhanced":[38,174],"with":[39,94,157,180],"some":[40],"face-centered":[41],"pressures.":[42],"This":[43,173],"substantially":[44],"reduces":[45,86],"computational":[47],"complexity":[48],"of":[49,107,127,150,197],"problem":[51],"a":[53,147],"symmetric,":[54],"positive":[55],"definite":[56],"system":[57],"essentially":[59],"only":[60,90,129],"as":[61,64,139,141],"many":[62],"unknowns":[63,166],"elements.":[65,96],"Our":[66,133],"new":[67],"handles":[69],"shape":[71],"elements":[72],"(triangles,":[73],"quadrilaterals,":[74],"and":[75,77,187,195],"hexahedra)":[76],"full":[78,178],"tensor":[79],"coefficients,":[80],"while":[81],"standard":[83,143],"formulation":[85],"differences":[89],"in":[91,98],"special":[92],"cases":[93],"rectangular":[95],"As":[97],"other":[99],"methods,":[101],"maintain":[103],"local":[105,111],"approximation":[106],"divergence":[109],"(i.e.,":[110],"mass":[112,131],"conservation).":[113],"In":[114],"contrast,":[115],"Galerkin":[116],"methods":[119],"facilitate":[120],"shapes":[123],"at":[124],"cost":[126],"achieving":[128],"global":[130],"conservation.":[132],"is":[135],"shown":[136],"be":[138],"accurate":[140],"large":[148],"class":[149],"smooth":[151],"meshes.":[152],"On":[153],"nonsmooth":[154,158],"meshes":[155],"or":[156,171],"coefficients":[159],"one":[160],"can":[161],"add":[162],"Lagrange":[163],"multiplier":[164],"pressure":[165],"certain":[168],"edges":[170],"faces.":[172],"procedure":[176],"recovers":[177],"accuracy,":[179],"little":[181],"additionalfinitepiecewise":[182],"smooth.":[183],"Theoretical":[184],"error":[185],"estimates":[186],"numerical":[188],"examples":[189],"are":[190],"given,":[191],"illustrating":[192],"accuracy":[194],"efficiency":[196],"methods.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":24},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":9}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}