{"id":"https://openalex.org/W2962725355","doi":"https://doi.org/10.1515/cmam-2018-0007","title":"An Optimal Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems","display_name":"An Optimal Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems","publication_year":2018,"publication_date":"2018-03-20","ids":{"openalex":"https://openalex.org/W2962725355","doi":"https://doi.org/10.1515/cmam-2018-0007","mag":"2962725355"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2018-0007","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0007","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","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/A5100696673","display_name":"Xiao Zhang","orcid":"https://orcid.org/0000-0002-8020-6142"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Zhang","raw_affiliation_strings":["School of Mathematics , Sichuan University , Chengdu 610064 , P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics , Sichuan University , Chengdu 610064 , P. R. China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053152389","display_name":"Xiaoping Xie","orcid":"https://orcid.org/0000-0001-5592-177X"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoping Xie","raw_affiliation_strings":["School of Mathematics , Sichuan University , Chengdu 610064 , P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics , Sichuan University , Chengdu 610064 , P. R. China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062999404","display_name":"Shiquan Zhang","orcid":"https://orcid.org/0009-0009-7112-2463"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shiquan Zhang","raw_affiliation_strings":["School of Mathematics , Sichuan University , Chengdu 610064 , P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics , Sichuan University , Chengdu 610064 , P. R. China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062999404"],"corresponding_institution_ids":["https://openalex.org/I24185976"],"apc_list":null,"apc_paid":null,"fwci":0.4054,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61913174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"4","first_page":"849","last_page":"861"},"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":1.0,"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":1.0,"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":0.9987999796867371,"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":0.9984999895095825,"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/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8253287672996521},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7186911702156067},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6261880397796631},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4539317190647125},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.4219767451286316},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4132433533668518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35883408784866333},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.23901981115341187},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20132189989089966}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8253287672996521},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7186911702156067},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6261880397796631},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4539317190647125},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.4219767451286316},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4132433533668518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35883408784866333},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.23901981115341187},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20132189989089966},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2018-0007","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0007","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3144127262","display_name":null,"funder_award_id":"11771312","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4398782874","display_name":null,"funder_award_id":"91430105","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8718094165","display_name":null,"funder_award_id":"11401407","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1993443533","https://openalex.org/W1998894128","https://openalex.org/W2014290392","https://openalex.org/W2051682834","https://openalex.org/W2055812492","https://openalex.org/W2069847349","https://openalex.org/W2082452417","https://openalex.org/W2130232057","https://openalex.org/W2130350269","https://openalex.org/W2149258036","https://openalex.org/W2279795488","https://openalex.org/W2327057976","https://openalex.org/W2962921711","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2063021680","https://openalex.org/W2120874885","https://openalex.org/W1965109456","https://openalex.org/W2357922472","https://openalex.org/W2384278689","https://openalex.org/W2563365141","https://openalex.org/W2386777115","https://openalex.org/W2982093746","https://openalex.org/W3043435143"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"embedded":[2],"discontinuous":[3,22,46,58],"Galerkin":[4,27,47],"(EDG)":[5],"method":[6,48,84,142],"by":[7,49],"Cockburn,":[8,13],"Gopalakrishnan":[9,15],"and":[10,16,25,63,137,154],"Lazarov":[11],"[B.":[12],"J.":[14,34],"R.":[17],"Lazarov,":[18],"Unified":[19],"hybridization":[20],"of":[21,53,67,96],"Galerkin,":[23],"mixed,":[24],"continuous":[26,61],"methods":[28],"for":[29,73,85,150],"second-order":[30,86],"elliptic":[31,87],"problems,":[32],"SIAM":[33],"Numer.":[35],"Anal.":[36],"47":[37],"2009,":[38],"2,":[39],"1319\u20131365]":[40],"is":[41,143],"obtained":[42],"from":[43,57],"the":[44,51,54,133,140,152,163],"hybridizable":[45],"changing":[50],"space":[52],"Lagrangian":[55],"multiplier":[56],"functions":[59],"to":[60,131,145,161],"ones,":[62],"adopts":[64],"piecewise":[65,94],"polynomials":[66,95],"equal":[68],"degrees":[69,97],"on":[70,89],"simplex":[71],"meshes":[72],"all":[74],"variables.":[75],"In":[76],"this":[77],"paper,":[78],"we":[79],"analyze":[80],"a":[81],"new":[82,141],"EDG":[83],"problems":[88],"polygonal/polyhedral":[90],"meshes.":[91],"By":[92],"using":[93],"<m:math":[98,108,120],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[99,109,121],"<m:mrow>":[100,110,122],"<m:mi>k</m:mi>":[101,111,123],"<m:mo>+</m:mo>":[102,112],"<m:mn>1</m:mn>":[103,113],"</m:mrow>":[104,114,126],"</m:math>":[105,115,127],"{k+1}":[106,116],",":[107,117],"k":[118],"(":[119],"<m:mo>\u2265</m:mo>":[124],"<m:mn>0</m:mn>":[125],"{k\\geq":[128],"0}":[129],")":[130],"approximate":[132],"potential,":[134],"numerical":[135],"trace":[136],"flux,":[138],"respectively,":[139],"shown":[144],"yield":[146],"optimal":[147],"convergence":[148],"rates":[149],"both":[151],"potential":[153],"flux":[155],"approximations.":[156],"Numerical":[157],"experiments":[158],"are":[159],"provided":[160],"confirm":[162],"theoretical":[164],"results.":[165]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
