{"id":"https://openalex.org/W2959693489","doi":"https://doi.org/10.1007/s10915-019-01036-8","title":"Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods","display_name":"Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods","publication_year":2019,"publication_date":"2019-08-26","ids":{"openalex":"https://openalex.org/W2959693489","doi":"https://doi.org/10.1007/s10915-019-01036-8","mag":"2959693489"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-019-01036-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-019-01036-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-019-01036-8.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-019-01036-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011420971","display_name":"Marvin Bohm","orcid":null},"institutions":[{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Marvin Bohm","raw_affiliation_strings":["Mathematical Institute, University of Cologne, Weyertal 86-90, 50931, Cologne, Germany","Mathematical Institute , University of Cologne , Cologne , Germany"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Cologne, Weyertal 86-90, 50931, Cologne, Germany","institution_ids":["https://openalex.org/I180923762"]},{"raw_affiliation_string":"Mathematical Institute , University of Cologne , Cologne , Germany","institution_ids":["https://openalex.org/I180923762"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072534113","display_name":"Sven Schermeng","orcid":null},"institutions":[{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sven Schermeng","raw_affiliation_strings":["Mathematical Institute, University of Cologne, Weyertal 86-90, 50931, Cologne, Germany","Mathematical Institute , University of Cologne , Cologne , Germany"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Cologne, Weyertal 86-90, 50931, Cologne, Germany","institution_ids":["https://openalex.org/I180923762"]},{"raw_affiliation_string":"Mathematical Institute , University of Cologne , Cologne , Germany","institution_ids":["https://openalex.org/I180923762"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072910798","display_name":"Andrew R. Winters","orcid":"https://orcid.org/0000-0002-5902-1522"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Andrew R. Winters","raw_affiliation_strings":["Department of Mathematics, Computational Mathematics, Link\u00f6ping University, 581\u00a083, Link\u00f6ping, Sweden","Department of Mathematics; Computational Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Computational Mathematics, Link\u00f6ping University, 581\u00a083, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Department of Mathematics; Computational Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045031334","display_name":"Gregor J. Gassner","orcid":"https://orcid.org/0000-0002-1752-1158"},"institutions":[{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gregor J. Gassner","raw_affiliation_strings":["Department for Mathematics and Computer Science, Center for Data and Simulation Science, University of Cologne, Weyertal 86-90, 50931, Cologne, Germany","Department for Mathematics and Computer Science, Center for Data and Simulation Science, University of Cologne, Cologne, Germany"],"affiliations":[{"raw_affiliation_string":"Department for Mathematics and Computer Science, Center for Data and Simulation Science, University of Cologne, Weyertal 86-90, 50931, Cologne, Germany","institution_ids":["https://openalex.org/I180923762"]},{"raw_affiliation_string":"Department for Mathematics and Computer Science, Center for Data and Simulation Science, University of Cologne, Cologne, Germany","institution_ids":["https://openalex.org/I180923762"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082098202","display_name":"Gustaaf B. Jacobs","orcid":"https://orcid.org/0000-0001-5074-0638"},"institutions":[{"id":"https://openalex.org/I26538001","display_name":"San Diego State University","ror":"https://ror.org/0264fdx42","country_code":"US","type":"education","lineage":["https://openalex.org/I26538001"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gustaaf B. Jacobs","raw_affiliation_strings":["Department of Aerospace Engineering, San Diego State University, 5500 Campanile Drive, San Diego, CA, 92182, USA","Department of Aerospace Engineering, San Diego State University, San Diego, USA"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, San Diego State University, 5500 Campanile Drive, San Diego, CA, 92182, USA","institution_ids":["https://openalex.org/I26538001"]},{"raw_affiliation_string":"Department of Aerospace Engineering, San Diego State University, San Diego, USA","institution_ids":["https://openalex.org/I26538001"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5011420971"],"corresponding_institution_ids":["https://openalex.org/I180923762"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07589075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"81","issue":"2","first_page":"820","last_page":"844"},"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":0.9993000030517578,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","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/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7780398726463318},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.6498453617095947},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5016906261444092},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.48643016815185547},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.4730483591556549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4652230441570282},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45291802287101746},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.44889479875564575},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.37084800004959106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3639817237854004},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3539104163646698},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3499413728713989},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1172257661819458}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7780398726463318},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6498453617095947},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5016906261444092},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.48643016815185547},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.4730483591556549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4652230441570282},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45291802287101746},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.44889479875564575},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.37084800004959106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3639817237854004},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3539104163646698},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3499413728713989},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1172257661819458},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10915-019-01036-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-019-01036-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-019-01036-8.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:USBKOELN.ub.uni-koeln.de:12979","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400371","display_name":"K\u00f6lner Universit\u00e4ts PublikationsServer (Universit\u00e4t zu K\u00f6ln)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210115942","host_organization_name":"Rhenish Institute for Environmental Research","host_organization_lineage":["https://openalex.org/I4210115942"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"doc-type:article"},{"id":"pmh:oai:arXiv.org:1907.04939","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.04939","pdf_url":"https://arxiv.org/pdf/1907.04939","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2959693489","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.04939","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:DiVA.org:liu-160123","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-160123","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"","raw_type":"Article in journal"},{"id":"doi:10.48550/arxiv.1907.04939","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.04939","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10915-019-01036-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-019-01036-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-019-01036-8.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.75,"display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G1017697815","display_name":null,"funder_award_id":"714487","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G3433507133","display_name":"An Exascale aware and Un-crashable Space-Time-Adaptive Discontinuous Spectral Element Solver for Non-Linear Conservation Laws","funder_award_id":"714487","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5919964053","display_name":null,"funder_award_id":"1115705","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322225","display_name":"Link\u00f6pings Universitet","ror":"https://ror.org/05ynxx418"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2959693489.pdf","grobid_xml":"https://content.openalex.org/works/W2959693489.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W17056376","https://openalex.org/W1600997507","https://openalex.org/W1603766083","https://openalex.org/W1627568958","https://openalex.org/W1886421468","https://openalex.org/W1964699038","https://openalex.org/W1986784896","https://openalex.org/W1990739729","https://openalex.org/W1998830482","https://openalex.org/W1999921738","https://openalex.org/W2000542962","https://openalex.org/W2010057267","https://openalex.org/W2011030306","https://openalex.org/W2019098734","https://openalex.org/W2020168202","https://openalex.org/W2031208469","https://openalex.org/W2047625347","https://openalex.org/W2048941652","https://openalex.org/W2054662916","https://openalex.org/W2060951497","https://openalex.org/W2080941249","https://openalex.org/W2089424413","https://openalex.org/W2102179892","https://openalex.org/W2117443301","https://openalex.org/W2156104539","https://openalex.org/W2157862867","https://openalex.org/W2167377577","https://openalex.org/W2329498394","https://openalex.org/W2401794638","https://openalex.org/W2523130954","https://openalex.org/W2554232080","https://openalex.org/W2560142783","https://openalex.org/W2912582558","https://openalex.org/W2963991705","https://openalex.org/W3021722416","https://openalex.org/W3178266934","https://openalex.org/W6636001176","https://openalex.org/W6830032245"],"related_works":["https://openalex.org/W2098211475","https://openalex.org/W563793834","https://openalex.org/W2165727972","https://openalex.org/W2010481111","https://openalex.org/W2089424413","https://openalex.org/W2912582558","https://openalex.org/W2010057267","https://openalex.org/W2196267779","https://openalex.org/W2541118539","https://openalex.org/W2519880402","https://openalex.org/W3012769169","https://openalex.org/W1492144958","https://openalex.org/W2048206042","https://openalex.org/W3206324536","https://openalex.org/W2897734353","https://openalex.org/W2886809664","https://openalex.org/W2563458711","https://openalex.org/W2074265044","https://openalex.org/W2127563055","https://openalex.org/W2323388970"],"abstract_inverted_index":{"We":[0,84,101,137],"build":[1],"a":[2,86,97,157],"multi-element":[3,88],"variant":[4],"of":[5,35,51,53,134,159],"the":[6,32,39,49,72,79,94,103,108,116,123,139,144],"smoothness":[7],"increasing":[8],"accuracy":[9],"conserving":[10],"(SIAC)":[11],"shock":[12,98,117,126],"capturing":[13,99,118,127],"technique":[14,91],"proposed":[15],"for":[16,47,74,131],"single":[17],"element":[18,44],"spectral":[19,43],"methods":[20,62],"by":[21],"Wissink":[22],"et":[23],"al.":[24],"(J":[25],"Sci":[26],"Comput":[27],"77:579\u2013596,":[28],"2018).":[29],"In":[30],"particular,":[31],"baseline":[33],"scheme":[34,110],"our":[36],"method":[37,45,128],"is":[38,57,82,119,129],"nodal":[40],"discontinuous":[41],"Galerkin":[42],"(DGSEM)":[46],"approximating":[48],"solution":[50,73],"systems":[52,133],"conservation":[54,135],"laws.":[55,136],"It":[56],"well":[58],"known":[59],"that":[60,107,115],"high-order":[61,112],"generate":[63],"spurious":[64],"oscillations":[65],"near":[66],"discontinuities":[67],"which":[68],"can":[69],"develop":[70],"in":[71],"nonlinear":[75],"problems,":[76],"even":[77],"when":[78],"initial":[80],"data":[81],"smooth.":[83],"propose":[85],"novel":[87,140],"SIAC":[89,104,141],"filtering":[90,105],"applied":[92,120],"to":[93,143,151],"DGSEM":[95],"as":[96],"method.":[100],"design":[102],"such":[106],"numerical":[109],"remains":[111],"accurate":[113],"and":[114,147],"adaptively":[121],"throughout":[122],"domain.":[124],"The":[125],"derived":[130],"general":[132],"apply":[138],"filter":[142],"two-dimensional":[145],"Euler":[146],"ideal":[148],"magnetohydrodynamics":[149],"equations":[150],"several":[152],"standard":[153],"test":[154],"problems":[155],"with":[156],"variety":[158],"boundary":[160],"conditions.":[161]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2022-07-20T00:00:00"}