{"id":"https://openalex.org/W965078348","doi":"https://doi.org/10.1007/s10915-015-0074-8","title":"Preasymptotic Error Analysis of High Order Interior Penalty Discontinuous Galerkin Methods for the Helmholtz Equation with High Wave Number","display_name":"Preasymptotic Error Analysis of High Order Interior Penalty Discontinuous Galerkin Methods for the Helmholtz Equation with High Wave Number","publication_year":2015,"publication_date":"2015-07-22","ids":{"openalex":"https://openalex.org/W965078348","doi":"https://doi.org/10.1007/s10915-015-0074-8","mag":"965078348"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-015-0074-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0074-8","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5100663776","display_name":"Yu Du","orcid":"https://orcid.org/0000-0001-7317-793X"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Du","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Nanjing, Jiangsu Province, People\u2019s Republic of China","Department of Mathematics, Nanjing University, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing, Jiangsu Province, People\u2019s Republic of China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103061838","display_name":"Lingxue Zhu","orcid":"https://orcid.org/0000-0002-8366-806X"},"institutions":[{"id":"https://openalex.org/I4210166603","display_name":"Jinling Institute of Technology","ror":"https://ror.org/05em1gq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166603"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lingxue Zhu","raw_affiliation_strings":["Department of Mathematics, Jinling Institute of Technology, Nanjing, Jiangsu Province, People\u2019s Republic of China","Department of Mathematics, Jinling Institute of Technology, Nanjing, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jinling Institute of Technology, Nanjing, Jiangsu Province, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210166603"]},{"raw_affiliation_string":"Department of Mathematics, Jinling Institute of Technology, Nanjing, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I4210166603"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103061838"],"corresponding_institution_ids":["https://openalex.org/I4210166603"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6701,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.68350737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"67","issue":"1","first_page":"130","last_page":"152"},"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":0.9994000196456909,"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/T12727","display_name":"Differential Equations and Numerical Methods","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/mathematics","display_name":"Mathematics","score":0.8669214248657227},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.7214270830154419},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6063796281814575},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5800026655197144},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.5312290787696838},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.4943234920501709},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4899389147758484},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4859582185745239},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4638403058052063},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4539766311645508},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4296768307685852},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.38163381814956665},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.29766589403152466}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8669214248657227},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.7214270830154419},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6063796281814575},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5800026655197144},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.5312290787696838},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.4943234920501709},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4899389147758484},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4859582185745239},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4638403058052063},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4539766311645508},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4296768307685852},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.38163381814956665},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29766589403152466},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-015-0074-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0074-8","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G458515038","display_name":null,"funder_award_id":"11401272","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W140909251","https://openalex.org/W148206876","https://openalex.org/W222841820","https://openalex.org/W567142709","https://openalex.org/W932375325","https://openalex.org/W1492326914","https://openalex.org/W1504642953","https://openalex.org/W1582734821","https://openalex.org/W1585098889","https://openalex.org/W1866311589","https://openalex.org/W1970622200","https://openalex.org/W1974535188","https://openalex.org/W1976538983","https://openalex.org/W1993278445","https://openalex.org/W2001012793","https://openalex.org/W2001019613","https://openalex.org/W2002083525","https://openalex.org/W2003803951","https://openalex.org/W2003894508","https://openalex.org/W2004475615","https://openalex.org/W2017073125","https://openalex.org/W2017389653","https://openalex.org/W2021615646","https://openalex.org/W2024204225","https://openalex.org/W2025124289","https://openalex.org/W2029342920","https://openalex.org/W2029725158","https://openalex.org/W2029966922","https://openalex.org/W2030321128","https://openalex.org/W2031027147","https://openalex.org/W2032941427","https://openalex.org/W2037092148","https://openalex.org/W2041523977","https://openalex.org/W2053149981","https://openalex.org/W2071897054","https://openalex.org/W2071928229","https://openalex.org/W2080212747","https://openalex.org/W2080631773","https://openalex.org/W2081513515","https://openalex.org/W2087828859","https://openalex.org/W2091078702","https://openalex.org/W2106567676","https://openalex.org/W2130350269","https://openalex.org/W2143430600","https://openalex.org/W2156154693","https://openalex.org/W2158928686","https://openalex.org/W2592456637","https://openalex.org/W2950349546","https://openalex.org/W2964258540","https://openalex.org/W3021332900","https://openalex.org/W3046457476","https://openalex.org/W3204708751","https://openalex.org/W4210300254","https://openalex.org/W4233665781","https://openalex.org/W6604972893"],"related_works":["https://openalex.org/W2918697861","https://openalex.org/W2403792759","https://openalex.org/W1976939085","https://openalex.org/W1989607141","https://openalex.org/W4283775812","https://openalex.org/W1998739679","https://openalex.org/W2021567871","https://openalex.org/W2025124289","https://openalex.org/W3004620671","https://openalex.org/W2082531245"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
