{"id":"https://openalex.org/W2885063731","doi":"https://doi.org/10.1137/17m1144830","title":"Discrete $H^1$-Inequalities for Spaces Admitting M-Decompositions","display_name":"Discrete $H^1$-Inequalities for Spaces Admitting M-Decompositions","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2885063731","doi":"https://doi.org/10.1137/17m1144830","mag":"2885063731"},"language":"en","primary_location":{"id":"doi:10.1137/17m1144830","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1144830","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":true,"oa_status":"bronze","oa_url":"https://scholars.cityu.edu.hk/en/publications/discrete-ihisup1sup-inequalities-for-spaces-admitting-m-decomposi","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091258269","display_name":"Bernardo Cockburn","orcid":"https://orcid.org/0000-0001-6085-3441"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bernardo Cockburn","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000943631","display_name":"Guosheng Fu","orcid":"https://orcid.org/0000-0002-4578-924X"},"institutions":[{"id":"https://openalex.org/I175594653","display_name":"John Brown University","ror":"https://ror.org/02ct41q97","country_code":"US","type":"education","lineage":["https://openalex.org/I175594653"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guosheng Fu","raw_affiliation_strings":["Brown University"],"affiliations":[{"raw_affiliation_string":"Brown University","institution_ids":["https://openalex.org/I175594653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059376708","display_name":"Weifeng Qiu","orcid":"https://orcid.org/0000-0002-9155-1005"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Weifeng Qiu","raw_affiliation_strings":["City Univ. of Hong Kong#TAB#"],"affiliations":[{"raw_affiliation_string":"City Univ. of Hong Kong#TAB#","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091258269"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8325,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70479628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"56","issue":"6","first_page":"3407","last_page":"3429"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9965999722480774,"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":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.9338610768318176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8588584065437317},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.5815941095352173},{"id":"https://openalex.org/keywords/hexahedron","display_name":"Hexahedron","score":0.578868567943573},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5707888603210449},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49750998616218567},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4440957307815552},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42248231172561646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39537718892097473},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3741694688796997},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2828614115715027},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.199650377035141}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9338610768318176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8588584065437317},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.5815941095352173},{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.578868567943573},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5707888603210449},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49750998616218567},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4440957307815552},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42248231172561646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39537718892097473},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3741694688796997},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2828614115715027},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.199650377035141},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/17m1144830","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1144830","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"},{"is_oa":true,"landing_page_url":"https://scholars.cityu.edu.hk/en/publications/discrete-ihisup1sup-inequalities-for-spaces-admitting-m-decomposi","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:pure.atira.dk:publications/f22a4b10-8094-40a8-afc0-d020ac3955e1","is_oa":true,"landing_page_url":"https://hdl.handle.net/2031/f22a4b10-8094-40a8-afc0-d020ac3955e1","pdf_url":null,"source":{"id":"https://openalex.org/S7407055387","display_name":"CityU Scholars","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"COCKBURN, B, FU, G & QIU, W 2018, 'DISCRETE H 1 -INEQUALITIES FOR SPACES ADMITTING M-DECOMPOSITIONS', SIAM Journal on Numerical Analysis, vol. 56, no. 6, pp. 3407-3429. https://doi.org/10.1137/17M1144830","raw_type":"article"}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://scholars.cityu.edu.hk/en/publications/discrete-ihisup1sup-inequalities-for-spaces-admitting-m-decomposi","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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4399999976158142,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1012233381","display_name":null,"funder_award_id":"11302014","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G5726640743","display_name":null,"funder_award_id":"DMS-1522657","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/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1978682560","https://openalex.org/W1979936154","https://openalex.org/W1982175859","https://openalex.org/W1983017600","https://openalex.org/W1998894128","https://openalex.org/W2023166590","https://openalex.org/W2041458840","https://openalex.org/W2051682834","https://openalex.org/W2069847349","https://openalex.org/W2081513515","https://openalex.org/W2110320615","https://openalex.org/W2318931849","https://openalex.org/W2376378314","https://openalex.org/W2460533716","https://openalex.org/W2666330546","https://openalex.org/W2962972136","https://openalex.org/W2963479940"],"related_works":["https://openalex.org/W2037812407","https://openalex.org/W2330661319","https://openalex.org/W2383759168","https://openalex.org/W2113155208","https://openalex.org/W2962853751","https://openalex.org/W2745694944","https://openalex.org/W1971404246","https://openalex.org/W2353105884","https://openalex.org/W1994422739","https://openalex.org/W2951952316"],"abstract_inverted_index":{"We":[0,26,72],"find":[1],"new":[2,61],"discrete":[3],"$H^{1}\\!$-":[4],"and":[5,36,43,85,113],"Poincar\u00e9--Friedrichs":[6],"inequalities":[7,33],"by":[8],"studying":[9],"the":[10,13,19,48,58,89],"invertibility":[11],"of":[12,18,81],"discontinuous":[14],"Galkerkin":[15],"(DG)":[16],"approximation":[17],"flux":[20],"for":[21,46,88],"local":[22],"spaces":[23],"admitting":[24],"M-decompositions.":[25],"then":[27],"show":[28],"how":[29],"to":[30,34,76],"use":[31],"these":[32],"define":[35,77],"analyze":[37],"new,":[38],"superconvergent":[39,83],"hybridizable":[40],"DG":[41],"(HDG)":[42],"mixed":[44,86],"methods":[45,87],"which":[47,65],"stabilization":[49],"function":[50],"is":[51,69],"defined":[52,93],"in":[53,98,105],"such":[54],"a":[55,78],"way":[56],"that":[57],"approximations":[59],"satisfy":[60],"$H^1$-stability":[62],"results":[63],"with":[64],"their":[66],"error":[67],"analysis":[68],"greatly":[70],"simplified.":[71],"apply":[73],"this":[74],"approach":[75],"wide":[79],"class":[80],"energy-bounded,":[82],"HDG":[84],"incompressible":[90],"Navier--Stokes":[91],"equations":[92],"on":[94],"unstructured":[95],"meshes":[96],"using,":[97],"two":[99],"dimensions,":[100,107],"general":[101],"polygonal":[102],"elements":[103],"and,":[104],"three":[106],"general,":[108],"flat-faced":[109],"tetrahedral,":[110],"prismatic,":[111],"pyramidal,":[112],"hexahedral":[114],"elements.":[115]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}