{"id":"https://openalex.org/W2911425791","doi":"https://doi.org/10.1137/17m1159038","title":"A Moment Limiter for the Discontinuous Galerkin Method on Unstructured Triangular Meshes","display_name":"A Moment Limiter for the Discontinuous Galerkin Method on Unstructured Triangular Meshes","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2911425791","doi":"https://doi.org/10.1137/17m1159038","mag":"2911425791"},"language":"en","primary_location":{"id":"doi:10.1137/17m1159038","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1159038","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/A5052697886","display_name":"Andrew Giuliani","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew Giuliani","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067461454","display_name":"Lilia Krivodonova","orcid":"https://orcid.org/0000-0002-0184-9394"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lilia Krivodonova","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0184-9394","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5537,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80535159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"41","issue":"1","first_page":"A508","last_page":"A537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9980999827384949,"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/stencil","display_name":"Stencil","score":0.9108126163482666},{"id":"https://openalex.org/keywords/limiter","display_name":"Limiter","score":0.9062116742134094},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.9046070575714111},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8090314865112305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7712026834487915},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.6549662947654724},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6034547090530396},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.544529378414154},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5250579714775085},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4484269917011261},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44012635946273804},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4348880648612976},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3327953815460205},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19599878787994385},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.19098573923110962},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15329819917678833},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.10139837861061096},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.06190180778503418}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.9108126163482666},{"id":"https://openalex.org/C45011657","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiter","level":2,"score":0.9062116742134094},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.9046070575714111},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8090314865112305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7712026834487915},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6549662947654724},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6034547090530396},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.544529378414154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5250579714775085},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4484269917011261},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44012635946273804},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4348880648612976},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3327953815460205},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19599878787994385},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.19098573923110962},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15329819917678833},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.10139837861061096},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.06190180778503418},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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},{"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:10.1137/17m1159038","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1159038","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":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6700000166893005}],"awards":[{"id":"https://openalex.org/G8541769997","display_name":null,"funder_award_id":"341373-07","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1942400730","https://openalex.org/W1963704459","https://openalex.org/W1975706278","https://openalex.org/W1988634891","https://openalex.org/W1990340775","https://openalex.org/W1994462981","https://openalex.org/W1998830482","https://openalex.org/W1999399767","https://openalex.org/W2028961977","https://openalex.org/W2030623447","https://openalex.org/W2033496446","https://openalex.org/W2038107889","https://openalex.org/W2082048236","https://openalex.org/W2113210893","https://openalex.org/W2268349644","https://openalex.org/W2884963633","https://openalex.org/W3121708785"],"related_works":["https://openalex.org/W3027009359","https://openalex.org/W2941134316","https://openalex.org/W3126845863","https://openalex.org/W2003988341","https://openalex.org/W2314180476","https://openalex.org/W2340914548","https://openalex.org/W4295815745","https://openalex.org/W2726528067","https://openalex.org/W3092754077","https://openalex.org/W3011948841"],"abstract_inverted_index":{"We":[0,16,87],"propose":[1],"a":[2,20,70],"second":[3,94],"order":[4,95],"limiter":[5,26,39,68],"for":[6,32],"the":[7,25,28,46],"discontinuous":[8],"Galerkin":[9],"method":[10],"applied":[11],"to":[12,61],"hyperbolic":[13],"conservation":[14],"laws.":[15],"prove":[17],"that":[18,90],"under":[19],"suitable":[21],"time":[22],"step":[23],"restriction,":[24],"enforces":[27],"local":[29],"maximum":[30],"principle":[31],"linear":[33],"and":[34,52,63,84,93],"nonlinear":[35],"scalar":[36],"equations.":[37],"The":[38,67],"works":[40],"by":[41,59],"finding":[42],"directions":[43],"in":[44,80],"which":[45,76],"solution":[47],"coefficients":[48],"can":[49],"be":[50],"separated":[51],"limits":[53],"them":[54],"independently":[55],"of":[56,73,82,97],"one":[57],"another":[58],"comparing":[60],"forward":[62],"backward":[64],"reconstructed":[65],"differences.":[66],"has":[69],"precomputed":[71],"stencil":[72],"constant":[74],"size,":[75],"provides":[77],"computational":[78],"advantages":[79],"terms":[81],"implementation":[83],"run":[85],"time.":[86],"provide":[88],"examples":[89],"demonstrate":[91],"stability":[92],"accuracy":[96],"solutions.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}