{"id":"https://openalex.org/W4289785282","doi":"https://doi.org/10.1137/22m1516348","title":"Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell\u2019s Equations","display_name":"Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell\u2019s Equations","publication_year":2024,"publication_date":"2024-02-06","ids":{"openalex":"https://openalex.org/W4289785282","doi":"https://doi.org/10.1137/22m1516348"},"language":"en","primary_location":{"id":"doi:10.1137/22m1516348","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1516348","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2208.01475","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061926880","display_name":"Th\u00e9ophile Chaumont-Frelet","orcid":"https://orcid.org/0000-0002-6210-0774"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Th\u00e9ophile Chaumont-Frelet","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, Inria, CNRS, LJAD, 06902 Sophia, Antipolis Cedex, France"],"raw_orcid":"https://orcid.org/0000-0002-6210-0774","affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, Inria, CNRS, LJAD, 06902 Sophia, Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058772041","display_name":"Patrick Vega","orcid":"https://orcid.org/0000-0001-6047-9074"},"institutions":[{"id":"https://openalex.org/I10457146","display_name":"Universidad de Santiago de Chile","ror":"https://ror.org/02ma57s91","country_code":"CL","type":"education","lineage":["https://openalex.org/I10457146"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Patrick Vega","raw_affiliation_strings":["Departamento de Matem\u00e1tica y Ciencia de la Computaci\u00f3n, Universidad de Santiago de Chile, Santiago, Chile"],"raw_orcid":"https://orcid.org/0000-0001-6047-9074","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica y Ciencia de la Computaci\u00f3n, Universidad de Santiago de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I10457146"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061926880"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":1.0748,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68999824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"62","issue":"1","first_page":"400","last_page":"421"},"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":0.9998999834060669,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8478489518165588},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.7811157703399658},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6995996236801147},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6957082152366638},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.6940467357635498},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6892882585525513},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.548663318157196},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4959352910518646},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.48424121737480164},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4839377999305725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4620250165462494},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.429992139339447},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09419870376586914},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.09331497550010681},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08649548888206482}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8478489518165588},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.7811157703399658},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6995996236801147},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6957082152366638},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.6940467357635498},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6892882585525513},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.548663318157196},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4959352910518646},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.48424121737480164},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4839377999305725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4620250165462494},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.429992139339447},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09419870376586914},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.09331497550010681},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08649548888206482},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1516348","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1516348","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:arXiv.org:2208.01475","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2208.01475","pdf_url":"https://arxiv.org/pdf/2208.01475","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":"pmh:oai:HAL:hal-03744230v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03744230","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2024, 62 (1), pp.400-421. &#x27E8;10.1137/22M1516348&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2208.01475","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2208.01475","pdf_url":"https://arxiv.org/pdf/2208.01475","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1070315826","display_name":null,"funder_award_id":"3220858","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W94458352","https://openalex.org/W1565301797","https://openalex.org/W1833891341","https://openalex.org/W1970198065","https://openalex.org/W1985629301","https://openalex.org/W1987628609","https://openalex.org/W2003017040","https://openalex.org/W2008720207","https://openalex.org/W2010947252","https://openalex.org/W2017488448","https://openalex.org/W2030028670","https://openalex.org/W2030591225","https://openalex.org/W2031933307","https://openalex.org/W2056470693","https://openalex.org/W2061359862","https://openalex.org/W2064909895","https://openalex.org/W2065700840","https://openalex.org/W2073432708","https://openalex.org/W2080408545","https://openalex.org/W2087592144","https://openalex.org/W2087828859","https://openalex.org/W2090843874","https://openalex.org/W2118551467","https://openalex.org/W2130350269","https://openalex.org/W2466439329","https://openalex.org/W2472641985","https://openalex.org/W2792452988","https://openalex.org/W2945655205","https://openalex.org/W2952659859","https://openalex.org/W2964374283","https://openalex.org/W2964525118","https://openalex.org/W3046457476","https://openalex.org/W3087478199","https://openalex.org/W3107508789","https://openalex.org/W3157373104","https://openalex.org/W3157804329","https://openalex.org/W3163418605","https://openalex.org/W4213238923","https://openalex.org/W4252104256","https://openalex.org/W4299858212"],"related_works":["https://openalex.org/W1528754490","https://openalex.org/W4365420316","https://openalex.org/W2693720348","https://openalex.org/W2369806658","https://openalex.org/W2735258363","https://openalex.org/W3193896743","https://openalex.org/W69679081","https://openalex.org/W3176862315","https://openalex.org/W2162026849","https://openalex.org/W2394687667"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
