{"id":"https://openalex.org/W2008698205","doi":"https://doi.org/10.1137/120900393","title":"On the Application of the Continuous Galerkin Finite Element Method for Conservation Problems","display_name":"On the Application of the Continuous Galerkin Finite Element Method for Conservation Problems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2008698205","doi":"https://doi.org/10.1137/120900393","mag":"2008698205"},"language":"en","primary_location":{"id":"doi:10.1137/120900393","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120900393","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/A5021717028","display_name":"Lance B. Bush","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L. Bush","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032561283","display_name":"Victor Ginting","orcid":"https://orcid.org/0000-0002-8191-5944"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. Ginting","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021717028"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.832,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.89428889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"35","issue":"6","first_page":"A2953","last_page":"A2975"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9973000288009644,"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":0.7844071388244629},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.7554507851600647},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7546964883804321},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7374656796455383},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6826369762420654},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.5014822483062744},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48599275946617126},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.47630441188812256},{"id":"https://openalex.org/keywords/smoothed-finite-element-method","display_name":"Smoothed finite element method","score":0.43330293893814087},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4301721453666687},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3695283532142639},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3392651677131653},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26456353068351746},{"id":"https://openalex.org/keywords/boundary-knot-method","display_name":"Boundary knot method","score":0.23286065459251404},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.061086297035217285}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7844071388244629},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.7554507851600647},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7546964883804321},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7374656796455383},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6826369762420654},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.5014822483062744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48599275946617126},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.47630441188812256},{"id":"https://openalex.org/C177605945","wikidata":"https://www.wikidata.org/wiki/Q11007230","display_name":"Smoothed finite element method","level":5,"score":0.43330293893814087},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4301721453666687},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3695283532142639},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3392651677131653},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26456353068351746},{"id":"https://openalex.org/C52890695","wikidata":"https://www.wikidata.org/wiki/Q4949966","display_name":"Boundary knot method","level":4,"score":0.23286065459251404},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.061086297035217285},{"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:10.1137/120900393","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120900393","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":[{"score":0.6600000262260437,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1969720018","https://openalex.org/W1989661075","https://openalex.org/W1990230720","https://openalex.org/W2002760105","https://openalex.org/W2014290392","https://openalex.org/W2022591932","https://openalex.org/W2023963475","https://openalex.org/W2029667156","https://openalex.org/W2029918260","https://openalex.org/W2058549403","https://openalex.org/W2061478133","https://openalex.org/W2076642757","https://openalex.org/W2083510900","https://openalex.org/W2084444254","https://openalex.org/W2089766265","https://openalex.org/W2102096503","https://openalex.org/W2129445590"],"related_works":["https://openalex.org/W1977906733","https://openalex.org/W1567939749","https://openalex.org/W1573186872","https://openalex.org/W2165887158","https://openalex.org/W2027750554","https://openalex.org/W2367880982","https://openalex.org/W2383924526","https://openalex.org/W2927373829","https://openalex.org/W4232326348","https://openalex.org/W2134127411"],"abstract_inverted_index":{"One":[0],"major":[1],"drawback":[2],"that":[3],"prevents":[4],"the":[5,8,36,56,94,110],"use":[6],"of":[7,22,80,96,122,134],"standard":[9],"continuous":[10,37],"Galerkin":[11,38],"finite":[12,39,57,73],"element":[13,40,58],"method":[14,41,111],"in":[15,43,84,93],"solving":[16,88],"conservation":[17],"problems":[18,77],"is":[19,112,117],"its":[20,115,135],"lack":[21],"a":[23,32,44,49,90,100,132],"locally":[24,45],"conservative":[25,46],"flux.":[26],"Our":[27],"present":[28],"work":[29],"has":[30],"developed":[31],"simple":[33],"postprocessing":[34,61],"for":[35,103,109],"resulting":[42],"flux":[47],"on":[48,71],"vertex":[50],"centered":[51],"dual":[52],"mesh":[53],"relative":[54],"to":[55,68],"mesh.":[59],"The":[60],"requires":[62],"an":[63],"auxiliary":[64],"fully":[65],"Neumann":[66],"problem":[67],"be":[69],"solved":[70],"each":[72,81],"element.":[74],"These":[75],"local":[76],"are":[78],"independent":[79],"other":[82],"and":[83,99,114,127],"two":[85],"dimensions":[86],"involve":[87],"only":[89],"3-by-3":[91],"system":[92,102],"case":[95],"triangular":[97,126],"elements":[98,129],"4-by-4":[101],"quadrilateral":[104,128],"elements.":[105],"A":[106],"convergence":[107],"analysis":[108],"provided":[113],"performance":[116],"demonstrated":[118],"through":[119],"numerical":[120],"examples":[121],"multiphase":[123],"flow":[124],"with":[125,131],"along":[130],"description":[133],"parallel":[136],"implementation.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-26T15:22:09.906841","created_date":"2025-10-10T00:00:00"}
