{"id":"https://openalex.org/W4388654445","doi":"https://doi.org/10.1007/s10208-023-09626-7","title":"Wavenumber-Explicit hp-FEM Analysis for Maxwell\u2019s Equations with Impedance Boundary Conditions","display_name":"Wavenumber-Explicit hp-FEM Analysis for Maxwell\u2019s Equations with Impedance Boundary Conditions","publication_year":2023,"publication_date":"2023-11-14","ids":{"openalex":"https://openalex.org/W4388654445","doi":"https://doi.org/10.1007/s10208-023-09626-7","pmid":"https://pubmed.ncbi.nlm.nih.gov/39649677"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-023-09626-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-023-09626-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-023-09626-7.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10208-023-09626-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058356670","display_name":"Jens Markus Melenk","orcid":"https://orcid.org/0000-0001-9024-6028"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"J. M. Melenk","raw_affiliation_strings":["Institut f\u00fcr Analysis und Scientific Computing, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria","Institut f\u00fcr Analysis und Scientific Computing, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8-10, 1040, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Analysis und Scientific Computing, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institut f\u00fcr Analysis und Scientific Computing, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8-10, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049235940","display_name":"Stefan Sauter","orcid":"https://orcid.org/0000-0002-1403-1874"},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"S. A. Sauter","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstr.\u00a0190, 8057 Zurich, Switzerland","Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstr.\u00a0190, 8057, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstr.\u00a0190, 8057 Zurich, Switzerland","institution_ids":["https://openalex.org/I202697423"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstr.\u00a0190, 8057, Zurich, Switzerland","institution_ids":["https://openalex.org/I202697423"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058356670"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.1018,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.77910312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"6","first_page":"1871","last_page":"1939"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10514","display_name":"Numerical methods in engineering","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9986000061035156,"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/wavenumber","display_name":"Wavenumber","score":0.7718449831008911},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7710716724395752},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6216772794723511},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.5811712741851807},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5691705942153931},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5194089412689209},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4704926013946533},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.4361899793148041},{"id":"https://openalex.org/keywords/perfectly-matched-layer","display_name":"Perfectly matched layer","score":0.43209874629974365},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17421302199363708},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08653461933135986}],"concepts":[{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.7718449831008911},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7710716724395752},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6216772794723511},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.5811712741851807},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5691705942153931},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5194089412689209},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4704926013946533},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.4361899793148041},{"id":"https://openalex.org/C16895185","wikidata":"https://www.wikidata.org/wiki/Q15101726","display_name":"Perfectly matched layer","level":3,"score":0.43209874629974365},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17421302199363708},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08653461933135986},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10208-023-09626-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-023-09626-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-023-09626-7.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmid:39649677","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39649677","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of computational mathematics (New York, N.Y.)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11618183","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11618183","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11618183/pdf/10208_2023_Article_9626.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Found Comut Math","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s10208-023-09626-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-023-09626-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-023-09626-7.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6076397746","display_name":null,"funder_award_id":"P 28367-N35","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322839","display_name":"Technische Universit\u00e4t Wien","ror":"https://ror.org/04d836q62"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4388654445.pdf"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W177735991","https://openalex.org/W1602383637","https://openalex.org/W1902428307","https://openalex.org/W1973990119","https://openalex.org/W1976184877","https://openalex.org/W1997942626","https://openalex.org/W2024506048","https://openalex.org/W2029966922","https://openalex.org/W2037475392","https://openalex.org/W2049353172","https://openalex.org/W2050690821","https://openalex.org/W2053149981","https://openalex.org/W2062618977","https://openalex.org/W2071704402","https://openalex.org/W2087828859","https://openalex.org/W2087849682","https://openalex.org/W2089046684","https://openalex.org/W2111021555","https://openalex.org/W2117866703","https://openalex.org/W2135380580","https://openalex.org/W2140888248","https://openalex.org/W2143783905","https://openalex.org/W2156154693","https://openalex.org/W2164402335","https://openalex.org/W2293007370","https://openalex.org/W2333408843","https://openalex.org/W2594063340","https://openalex.org/W2621388823","https://openalex.org/W2786766347","https://openalex.org/W2792452988","https://openalex.org/W2883435450","https://openalex.org/W2945655205","https://openalex.org/W2950573770","https://openalex.org/W2952659859","https://openalex.org/W2964141517","https://openalex.org/W2964525118","https://openalex.org/W3033930912","https://openalex.org/W3036627574","https://openalex.org/W3046457476","https://openalex.org/W3091748925","https://openalex.org/W3106381385","https://openalex.org/W3119289975","https://openalex.org/W3130307322","https://openalex.org/W3163418605","https://openalex.org/W3214197916","https://openalex.org/W4210885577","https://openalex.org/W4210970781","https://openalex.org/W4297575314","https://openalex.org/W4299858212","https://openalex.org/W4388654445"],"related_works":["https://openalex.org/W3086891060","https://openalex.org/W4296912953","https://openalex.org/W2140920265","https://openalex.org/W2112268253","https://openalex.org/W4285455062","https://openalex.org/W2118813345","https://openalex.org/W4286893099","https://openalex.org/W1504722419","https://openalex.org/W85917940","https://openalex.org/W2099891394"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"time-harmonic":[2],"Maxwell":[3],"equations":[4],"at":[5],"high":[6],"wavenumber":[7],"k":[8,45,76],"in":[9,44],"domains":[10],"with":[11,36,68],"an":[12,47],"analytic":[13,48],"boundary":[14,17],"and":[15,24,46,89],"impedance":[16],"conditions":[18],"are":[19],"considered.":[20],"A":[21],"wavenumber-explicit":[22],"stability":[23],"regularity":[25,39],"theory":[26],"is":[27,41,72,86,102],"developed":[28],"that":[29,40,81],"decomposes":[30],"the":[31,55,75],"solution":[32],"into":[33],"a":[34,66],"part":[35],"finite":[37],"Sobolev":[38],"controlled":[42],"uniformly":[43],"part.":[49],"Using":[50],"this":[51],"regularity,":[52],"quasi-optimality":[53],"of":[54,62],"Galerkin":[56],"discretization":[57],"based":[58],"on":[59,65],"N\u00e9d\u00e9lec":[60],"elements":[61],"order":[63],"p":[64,85],"mesh":[67,69],"size":[70],"h":[71],"shown":[73],"under":[74],"-explicit":[77],"scale":[78],"resolution":[79],"condition":[80],"(a)":[82],"kh":[83],"/":[84],"sufficient":[87],"small":[88],"(b)":[90],"$$p/\\ln":[91],"k$$":[92],"<mml:math":[93],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[94],"<mml:mrow>":[95],"<mml:mi>p</mml:mi>":[96],"<mml:mo>/</mml:mo>":[97],"<mml:mo>ln</mml:mo>":[98],"<mml:mi>k</mml:mi>":[99],"</mml:mrow>":[100],"</mml:math>":[101],"bounded":[103],"from":[104],"below.":[105]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
