{"id":"https://openalex.org/W2055399118","doi":"https://doi.org/10.1137/s003614290241708x","title":"Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media","display_name":"Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2055399118","doi":"https://doi.org/10.1137/s003614290241708x","mag":"2055399118"},"language":"en","primary_location":{"id":"doi:10.1137/s003614290241708x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614290241708x","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/A5057212913","display_name":"Shuyu Sun","orcid":"https://orcid.org/0000-0002-3078-864X"},"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":"Shuyu Sun","raw_affiliation_strings":["University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","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":[],"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":9.2847,"has_fulltext":false,"cited_by_count":179,"citation_normalized_percentile":{"value":0.98481696,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"43","issue":"1","first_page":"195","last_page":"219"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.996999979019165,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8883625268936157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7179561853408813},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7052732110023499},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.6542782783508301},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.5920653343200684},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48099955916404724},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.480214923620224},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4681950509548187},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4203028380870819},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39002561569213867},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.36169320344924927},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.30363601446151733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14220118522644043},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09851887822151184}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8883625268936157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7179561853408813},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7052732110023499},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.6542782783508301},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5920653343200684},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48099955916404724},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.480214923620224},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4681950509548187},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4203028380870819},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39002561569213867},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.36169320344924927},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.30363601446151733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14220118522644043},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09851887822151184},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s003614290241708x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614290241708x","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:CiteSeerX.psu:10.1.1.661.8961","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.661.8961","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.kaust.edu.sa/faculty/shuyusun/pub/DG_SINUM2005.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W42912465","https://openalex.org/W135228169","https://openalex.org/W221782381","https://openalex.org/W396760590","https://openalex.org/W1600997507","https://openalex.org/W1968183962","https://openalex.org/W1971999904","https://openalex.org/W1986174760","https://openalex.org/W1991906583","https://openalex.org/W1991960225","https://openalex.org/W1998543645","https://openalex.org/W2002182668","https://openalex.org/W2005851635","https://openalex.org/W2008324323","https://openalex.org/W2009827206","https://openalex.org/W2012882946","https://openalex.org/W2029725158","https://openalex.org/W2031088298","https://openalex.org/W2039335556","https://openalex.org/W2045546414","https://openalex.org/W2053583759","https://openalex.org/W2056040698","https://openalex.org/W2058780739","https://openalex.org/W2063164826","https://openalex.org/W2085804052","https://openalex.org/W2089494072","https://openalex.org/W2102096503","https://openalex.org/W2103320720","https://openalex.org/W2108093008","https://openalex.org/W2111632180","https://openalex.org/W2129288403","https://openalex.org/W2141585633","https://openalex.org/W2296685040","https://openalex.org/W2369386221","https://openalex.org/W2525823748","https://openalex.org/W4240725259","https://openalex.org/W4255646729","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2062802260","https://openalex.org/W2120874885","https://openalex.org/W2018662469","https://openalex.org/W1965109456","https://openalex.org/W3134574304","https://openalex.org/W1977335770","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2499787647"],"abstract_inverted_index":{"For":[0],"solving":[1],"reactive":[2],"transport":[3],"problems":[4],"in":[5,40,49,58,63,82],"porous":[6],"media,":[7],"we":[8],"analyze":[9],"three":[10],"primal":[11],"discontinuous":[12],"Galerkin":[13,22,27,33],"(DG)":[14],"methods":[15],"with":[16],"penalty,":[17],"namely,":[18],"symmetric":[19],"interior":[20,25,31],"penalty":[21,26,32,101],"(SIPG),":[23],"nonsymmetric":[24],"(NIPG),":[28],"and":[29,60,77,87,103],"incomplete":[30],"(IIPG).":[34],"A":[35],"cut-off":[36],"operator":[37],"is":[38],"introduced":[39],"DG":[41],"to":[42,75],"treat":[43],"general":[44],"kinetic":[45],"chemistry.":[46],"Error":[47],"estimates":[48,81],"L2":[50,84],"(H1":[51],")":[52,86],"are":[53,56],"established,":[54],"which":[55,73],"optimal":[57,62],"h":[59],"nearly":[61,78],"p.":[64],"We":[65,95],"develop":[66],"a":[67],"parabolic":[68],"lift":[69],"technique":[70],"for":[71],"SIPG,":[72],"leads":[74],"h-optimal":[76],"p-optimal":[79],"error":[80],"the":[83,104],"(L2":[85],"negative":[88],"norms.":[89],"Numerical":[90],"results":[91],"validate":[92],"these":[93],"estimates.":[94],"also":[96],"discuss":[97],"implementation":[98],"issues":[99],"including":[100],"parameters":[102],"choice":[105],"of":[106],"physical":[107],"versus":[108],"reference":[109],"polynomial":[110],"spaces.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":6}],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}