{"id":"https://openalex.org/W1978682560","doi":"https://doi.org/10.1090/s0025-5718-08-02123-6","title":"A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems","display_name":"A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems","publication_year":2008,"publication_date":"2008-05-06","ids":{"openalex":"https://openalex.org/W1978682560","doi":"https://doi.org/10.1090/s0025-5718-08-02123-6","mag":"1978682560"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-08-02123-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02123-6","pdf_url":"https://www.ams.org/mcom/2008-77-264/S0025-5718-08-02123-6/S0025-5718-08-02123-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2008-77-264/S0025-5718-08-02123-6/S0025-5718-08-02123-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091258269","display_name":"Bernardo Cockburn","orcid":"https://orcid.org/0000-0001-6085-3441"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bernardo Cockburn","raw_affiliation_strings":["School of Mathematics, 127 Vincent Hall, University of Minnesota, Minneapolis, Minnesota 55455"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, 127 Vincent Hall, University of Minnesota, Minneapolis, Minnesota 55455","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101734720","display_name":"Bo Dong","orcid":"https://orcid.org/0000-0003-4067-3763"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bo Dong","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912","Division of Applied Mathematics, Brown University Providence, Rhode Island 02912"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Division of Applied Mathematics, Brown University Providence, Rhode Island 02912","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036599010","display_name":"Johnny Guzm\u00e1n","orcid":"https://orcid.org/0000-0002-6769-2393"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Johnny Guzm\u00e1n","raw_affiliation_strings":["School of Mathematics, 127 Vincent Hall, University of Minnesota, Minneapolis, Minnesota 55455"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, 127 Vincent Hall, University of Minnesota, Minneapolis, Minnesota 55455","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.2324,"has_fulltext":true,"cited_by_count":302,"citation_normalized_percentile":{"value":0.99285334,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"77","issue":"264","first_page":"1887","last_page":"1916"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9979000091552734,"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"}},{"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/superconvergence","display_name":"Superconvergence","score":0.9789507985115051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8222243785858154},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7762199640274048},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6165295839309692},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6007674336433411},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5381184220314026},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.47079578042030334},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46476754546165466},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.46098101139068604},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4463634490966797},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42888665199279785},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07444804906845093},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.069008469581604},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06068307161331177}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9789507985115051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8222243785858154},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7762199640274048},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6165295839309692},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6007674336433411},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5381184220314026},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.47079578042030334},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46476754546165466},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.46098101139068604},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4463634490966797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42888665199279785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07444804906845093},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.069008469581604},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06068307161331177},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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":2,"locations":[{"id":"doi:10.1090/s0025-5718-08-02123-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02123-6","pdf_url":"https://www.ams.org/mcom/2008-77-264/S0025-5718-08-02123-6/S0025-5718-08-02123-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.503.5973","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.503.5973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dam.brown.edu/people/jguzman/preprints/g08SFH.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-08-02123-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02123-6","pdf_url":"https://www.ams.org/mcom/2008-77-264/S0025-5718-08-02123-6/S0025-5718-08-02123-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4710313902","display_name":"PostDoctoral Research Fellowship","funder_award_id":"0503050","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G517898531","display_name":"Discontinuous Galerkin and Hybridized Methods for Partial Differential Equations","funder_award_id":"0411254","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309636","display_name":"University of Minnesota","ror":"https://ror.org/03grvy078"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1978682560.pdf","grobid_xml":"https://content.openalex.org/works/W1978682560.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W136185420","https://openalex.org/W1997325620","https://openalex.org/W1998894128","https://openalex.org/W2012938047","https://openalex.org/W2015795390","https://openalex.org/W2041458840","https://openalex.org/W2041523977","https://openalex.org/W2051045979","https://openalex.org/W2051682834","https://openalex.org/W2061172735","https://openalex.org/W2073774784","https://openalex.org/W2082452417","https://openalex.org/W2130350269","https://openalex.org/W2221381880","https://openalex.org/W2284562107","https://openalex.org/W2299422535","https://openalex.org/W2491027544","https://openalex.org/W4210300254","https://openalex.org/W4237575966"],"related_works":["https://openalex.org/W2019032602","https://openalex.org/W4318305492","https://openalex.org/W4389778560","https://openalex.org/W3199641408","https://openalex.org/W2947552135","https://openalex.org/W2014920306","https://openalex.org/W1982175859","https://openalex.org/W2508014856","https://openalex.org/W2984453791","https://openalex.org/W2597229022"],"abstract_inverted_index":{"We":[0],"identify":[1],"and":[2,245],"study":[3],"an":[4,11,185],"LDG-hybridizable":[5],"Galerkin":[6,31],"method,":[7,13],"which":[8,183],"is":[9,92],"not":[10],"LDG":[12],"for":[14,58],"second-order":[15],"elliptic":[16],"problems":[17],"in":[18,71,124,211],"several":[19],"space":[20],"dimensions":[21],"with":[22,151,191],"remarkable":[23],"convergence":[24,70],"properties.":[25],"Unlike":[26],"all":[27],"other":[28],"known":[29],"discontinuous":[30],"methods":[32],"using":[33],"polynomials":[34],"of":[35,69,89,148,176,179,187,242,247],"degree":[36],"<inline-formula":[37,72,93,125,153,193,212],"content-type=\"math/mathml\">":[38,73,94,126,154,194,213],"<mml:math":[39,74,95,127,155,195,214],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40,75,96,128,156,196,215],"alttext=\"k":[41,97,157,197],"greater-than-or-equal-to":[42],"0\">":[43],"<mml:semantics>":[44,79,100,132,160,200,219],"<mml:mrow>":[45,101,161,201],"<mml:mi>k</mml:mi>":[46,102,162,202],"<mml:mo>":[47],"\u2265":[48],"</mml:mo>":[49],"<mml:mn>0</mml:mn>":[50],"</mml:mrow>":[51,105,165,205],"<mml:annotation":[52,84,106,137,166,206,224],"encoding=\"application/x-tex\">k\\ge":[53],"0</mml:annotation>":[54],"</mml:semantics>":[55,86,108,139,168,208,226],"</mml:math>":[56,87,109,140,169,209,227],"</inline-formula>":[57,88,110,141,170,210,228],"both":[59,90,113],"the":[60,65,67,114,149,174,180,188,239,243,248],"potential":[61,116,189],"as":[62,64,117,119],"well":[63,118],"flux,":[66],"order":[68,152,192],"alttext=\"upper":[76,129,216],"L":[77,130,217],"squared\">":[78,131,218],"<mml:msup>":[80,133,220],"<mml:mi>L</mml:mi>":[81,134,221],"<mml:mn>2</mml:mn>":[82,135,164,204,222],"</mml:msup>":[83,136,223],"encoding=\"application/x-tex\">L^2</mml:annotation>":[85,138,225],"unknowns":[91],"plus":[98,158,198],"1\">":[99],"<mml:mo>+</mml:mo>":[103,163,203],"<mml:mn>1</mml:mn>":[104],"encoding=\"application/x-tex\">k+1</mml:annotation>":[107],".":[111,171,229],"Moreover,":[112],"approximate":[115,181],"its":[120],"numerical":[121],"trace":[122],"superconverge":[123],"-like":[142],"norms,":[143],"to":[144,235],"suitably":[145],"chosen":[146],"projections":[147],"potential,":[150],"2\">":[159,199],"encoding=\"application/x-tex\">k+2</mml:annotation>":[167,207],"This":[172],"allows":[173],"application":[175],"element-by-element":[177],"postprocessing":[178],"solution":[182],"provides":[184],"approximation":[186],"converging":[190],"The":[230],"method":[231],"can":[232],"be":[233,236],"thought":[234],"<italic>in":[237],"between</italic>":[238],"hybridized":[240],"version":[241],"Raviart-Thomas":[244],"that":[246],"Brezzi-Douglas-Marini":[249],"mixed":[250],"methods.":[251]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":23},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":37},{"year":2017,"cited_by_count":19},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":18},{"year":2013,"cited_by_count":22},{"year":2012,"cited_by_count":19}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
