{"id":"https://openalex.org/W4385953338","doi":"https://doi.org/10.1137/22m1530690","title":"A Finite Difference\u2013Discontinuous Galerkin Method for the Wave Equation in Second Order Form","display_name":"A Finite Difference\u2013Discontinuous Galerkin Method for the Wave Equation in Second Order Form","publication_year":2023,"publication_date":"2023-08-17","ids":{"openalex":"https://openalex.org/W4385953338","doi":"https://doi.org/10.1137/22m1530690"},"language":"en","primary_location":{"id":"doi:10.1137/22m1530690","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530690","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100772858","display_name":"Siyang Wang","orcid":"https://orcid.org/0000-0002-7954-1576"},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Siyang Wang","raw_affiliation_strings":["Department of Mathematics and Mathematical Statistics, Ume\u00e5 University, Ume\u00e5, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-7954-1576","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mathematical Statistics, Ume\u00e5 University, Ume\u00e5, Sweden","institution_ids":["https://openalex.org/I90267481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004879351","display_name":"Gunilla Kreiss","orcid":"https://orcid.org/0000-0001-8865-8218"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Gunilla Kreiss","raw_affiliation_strings":["Division of Scientific Computing, Department of Information Technology, Uppsala University, Uppsala, Sweden"],"raw_orcid":"https://orcid.org/0000-0001-8865-8218","affiliations":[{"raw_affiliation_string":"Division of Scientific Computing, Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100772858"],"corresponding_institution_ids":["https://openalex.org/I90267481"],"apc_list":null,"apc_paid":null,"fwci":0.8282,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67253521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"61","issue":"4","first_page":"1962","last_page":"1988"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.9205383062362671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8322387933731079},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6871967911720276},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.60652756690979},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5544707179069519},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.5238626003265381},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.523271918296814},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5225253105163574},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5023279190063477},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5004894733428955},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.4903090298175812},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45940083265304565},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4482458233833313},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4249078333377838},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.41874659061431885},{"id":"https://openalex.org/keywords/finite-difference-coefficient","display_name":"Finite difference coefficient","score":0.41759616136550903},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.21553611755371094},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20949968695640564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08132672309875488}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.9205383062362671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8322387933731079},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6871967911720276},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.60652756690979},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5544707179069519},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5238626003265381},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.523271918296814},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5225253105163574},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5023279190063477},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5004894733428955},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.4903090298175812},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45940083265304565},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4482458233833313},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4249078333377838},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.41874659061431885},{"id":"https://openalex.org/C108268861","wikidata":"https://www.wikidata.org/wiki/Q1747602","display_name":"Finite difference coefficient","level":4,"score":0.41759616136550903},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.21553611755371094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20949968695640564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08132672309875488},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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:10.1137/22m1530690","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530690","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8600000143051147}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1495503452","https://openalex.org/W1538356049","https://openalex.org/W1965855805","https://openalex.org/W1970263005","https://openalex.org/W2007169649","https://openalex.org/W2019025179","https://openalex.org/W2024067995","https://openalex.org/W2043302021","https://openalex.org/W2049068370","https://openalex.org/W2049467895","https://openalex.org/W2051465806","https://openalex.org/W2087131616","https://openalex.org/W2109448994","https://openalex.org/W2113972433","https://openalex.org/W2120920736","https://openalex.org/W2126092018","https://openalex.org/W2199761069","https://openalex.org/W2212587874","https://openalex.org/W2237303270","https://openalex.org/W2550852412","https://openalex.org/W2554572918","https://openalex.org/W2615789822","https://openalex.org/W2617415243","https://openalex.org/W2788088895","https://openalex.org/W2788355916","https://openalex.org/W2807541158","https://openalex.org/W2966767209","https://openalex.org/W3101132641","https://openalex.org/W3135332386","https://openalex.org/W3137051775","https://openalex.org/W3204708751","https://openalex.org/W3205075084","https://openalex.org/W3205971186","https://openalex.org/W4251197584","https://openalex.org/W4255725207"],"related_works":["https://openalex.org/W1965041963","https://openalex.org/W56705272","https://openalex.org/W2330640442","https://openalex.org/W2768302376","https://openalex.org/W1517265138","https://openalex.org/W387124276","https://openalex.org/W2766044013","https://openalex.org/W2983915667","https://openalex.org/W2808572572","https://openalex.org/W1978642077"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,54,66,85,92,111,133],"hybrid":[3],"spatial":[4,49],"discretization":[5],"for":[6,119,132],"the":[7,58,62,80,101,120,124,128],"wave":[8],"equation":[9],"in":[10,79,145],"second":[11],"order":[12,87,98],"form,":[13],"based":[14],"on":[15,34,44],"high-order":[16],"accurate":[17],"finite":[18,31,88],"difference":[19,32,89],"methods":[20,33,43],"and":[21,37,127,140],"discontinuous":[22,41,93],"Galerkin":[23,42,94],"methods.":[24],"The":[25,47,138],"hybridization":[26],"combines":[27],"computational":[28],"efficiency":[29],"of":[30,40],"Cartesian":[35],"grids":[36],"geometrical":[38],"flexibility":[39],"unstructured":[45],"meshes.":[46],"two":[48],"discretizations":[50],"are":[51,143],"coupled":[52],"with":[53,91],"penalty":[55],"technique":[56],"at":[57],"interface":[59],"such":[60],"that":[61,82],"overall":[63,102],"semidiscretization":[64,121],"satisfies":[65],"discrete":[67],"energy":[68,125],"estimate":[69,118],"to":[70,114],"ensure":[71],"stability.":[72],"In":[73],"addition,":[74],"optimal":[75],"convergence":[76,103],"is":[77,105],"obtained":[78],"sense":[81],"when":[83],"combining":[84,123],"fourth":[86,106],"method":[90,95,126],"using":[96],"third":[97],"local":[99],"polynomials,":[100],"rate":[104],"order.":[107],"Furthermore,":[108],"we":[109],"use":[110],"novel":[112],"approach":[113],"derive":[115],"an":[116],"error":[117],"by":[122],"normal":[129],"mode":[130],"analysis":[131,142],"corresponding":[134],"one-dimensional":[135],"model":[136],"problem.":[137],"stability":[139],"accuracy":[141],"verified":[144],"numerical":[146],"experiments.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
